Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106718
A thorough understanding and treatment of wave-structure interaction (WSI) mechanics is essential for the rigorous engineering design of coastal protections. Conventional numerical analysis methods are accurate and generalize well, but are heavily dependent on the adopted mesh resolution and frequently incur substantial computational costs. To bypass these limitations, a meshless multi-fidelity residual neural network (MRNN) emulator is introduced in this study to infer the spatio-temporal responses arising from WSI. MRNN first employs a ‘low-fidelity’ simulator to learn basic WSI relationships by training on simulations obtained using a coarse numerical mesh. Subsequently, a ‘high-fidelity’ (HF) simulator is then employed to learn the mapping between numerical simulations performed using the coarse mesh and additional detailed fine meshes. The results indicate that MRNN is a highly robust emulator which requires significantly less HF data through its hierarchical framework compared to conventional single-fidelity data-driven strategies. By way of example, the MRNN emulator is applied to the cases of a porous dam break and breakwater. A broad spectrum of WSI responses, such as water through the porous dam medium, can be accurately captured using the MRNN emulator which is benchmarked against a conventional numerical modelling with a fine mesh. The computational efficiency of the MRNN is shown to be independent of the mesh resolution and complexity of the studied partial differential equations. It provides a generic and utilitarian emulator for any engineering problem of interest.
透彻地理解和处理波浪与结构相互作用(WSI)力学对严格的海岸防护工程设计至关重 要。传统的数值分析方法精确度高、概括性好,但严重依赖于所采用的网格分辨率,而且经常会产生大量的计算成本。为了绕过这些限制,本研究引入了无网格多保真残差神经网络(MRNN)仿真器来推断 WSI 产生的时空响应。MRNN 首先使用一个 "低保真 "模拟器,通过对使用粗数值网格获得的模拟进行训练,学习 WSI 的基本关系。随后,使用 "高保真"(HF)模拟器学习使用粗网格进行的数值模拟与额外的详细细网格之间的映射关系。结果表明,与传统的单一保真度数据驱动策略相比,MRNN 是一种高度稳健的仿真器,其分层框架所需的高保真数据要少得多。举例来说,MRNN 仿真器适用于多孔坝断裂和防波堤的情况。使用 MRNN 仿真器可以准确捕捉到广泛的 WSI 反应,例如水流通过多孔坝体介质,该仿真器与传统的细网格数值建模进行了比较。MRNN 的计算效率与网格分辨率和所研究偏微分方程的复杂性无关。它为任何感兴趣的工程问题提供了一个通用和实用的模拟器。
{"title":"Multi-Fidelity Learned Emulator for Waves and Porous Coastal Structures Interaction Modelling","authors":"","doi":"10.1016/j.compgeo.2024.106718","DOIUrl":"10.1016/j.compgeo.2024.106718","url":null,"abstract":"<div><p>A thorough understanding and treatment of wave-structure interaction (WSI) mechanics is essential for the rigorous engineering design of coastal protections. Conventional numerical analysis methods are accurate and generalize well, but are heavily dependent on the adopted mesh resolution and frequently incur substantial computational costs. To bypass these limitations, a meshless multi-fidelity residual neural network (MRNN) emulator is introduced in this study to infer the spatio-temporal responses arising from WSI. MRNN first employs a ‘low-fidelity’ simulator to learn basic WSI relationships by training on simulations obtained using a coarse numerical mesh. Subsequently, a ‘high-fidelity’ (HF) simulator is then employed to learn the mapping between numerical simulations performed using the coarse mesh and additional detailed fine meshes. The results indicate that MRNN is a highly robust emulator which requires significantly less HF data through its hierarchical framework compared to conventional single-fidelity data-driven strategies. By way of example, the MRNN emulator is applied to the cases of a porous dam break and breakwater. A broad spectrum of WSI responses, such as water through the porous dam medium, can be accurately captured using the MRNN emulator which is benchmarked against a conventional numerical modelling with a fine mesh. The computational efficiency of the MRNN is shown to be independent of the mesh resolution and complexity of the studied partial differential equations. It provides a generic and utilitarian emulator for any engineering problem of interest.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151677","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106727
To energizing implementation of “Carbon Peaking and Carbon Neutrality” strategy, a batch of pumped storage power stations represented by asphalt concrete panel dams have been planned in China. The safety assessment of the anti-seepage system is crucial to engineering construction. In this paper, a cross-scale approach and SBFEM are employed to investigate the deformation characteristics of a typical dam under various conditions, combining the generalized plastic model. The location of the weak area in the anti-seepage system is identified. Subsequently, a fresh step-type design is proposed based on simulations, aiming to enhance the stability performance of anti-seepage joint. The mechanism and influence of the step-type scheme are discussed from different perspectives through simulations. The research indicates that the asphalt panel slides along the underlying lapped concrete platform due to the uneven settlement between rockfill and concrete. Resulting in significant horizontal tensile strain at the top of the asphalt panel. The step-type design provides a positive reinforcement effect, significantly reducing slipping displacements along the interface and the tensile strain of the asphalt panel by hindering the slip path of the rockfill. An optimal range for the step-type design is recommended to be between 0.375 m and 0.45 m below the junction point. Additionally, a height of 0.45 m is suggested for the single-step form, while a height of 0.075 m is recommended for each step in the multiple-step form. For multiple steps, performance improves as the spacing between the steps increases. The adaptability of the panel to deformation is enhanced through the presented method, enhancing the safety margin of the anti-seepage system and offering guidance for similar projects.
{"title":"Cross-scale refined analysis and reinforcement design for the rigid-flexible mixed region in hybrid dams","authors":"","doi":"10.1016/j.compgeo.2024.106727","DOIUrl":"10.1016/j.compgeo.2024.106727","url":null,"abstract":"<div><p>To energizing implementation of “Carbon Peaking and Carbon Neutrality” strategy, a batch of pumped storage power stations represented by asphalt concrete panel dams have been planned in China. The safety assessment of the anti-seepage system is crucial to engineering construction. In this paper, a cross-scale approach and SBFEM are employed to investigate the deformation characteristics of a typical dam under various conditions, combining the generalized plastic model. The location of the weak area in the anti-seepage system is identified. Subsequently, a fresh step-type design is proposed based on simulations, aiming to enhance the stability performance of anti-seepage joint. The mechanism and influence of the step-type scheme are discussed from different perspectives through simulations. The research indicates that the asphalt panel slides along the underlying lapped concrete platform due to the uneven settlement between rockfill and concrete. Resulting in significant horizontal tensile strain at the top of the asphalt panel. The step-type design provides a positive reinforcement effect, significantly reducing slipping displacements along the interface and the tensile strain of the asphalt panel by hindering the slip path of the rockfill. An optimal range for the step-type design is recommended to be between 0.375 m and 0.45 m below the junction point. Additionally, a height of 0.45 m is suggested for the single-step form, while a height of 0.075 m is recommended for each step in the multiple-step form. For multiple steps, performance improves as the spacing between the steps increases. The adaptability of the panel to deformation is enhanced through the presented method, enhancing the safety margin of the anti-seepage system and offering guidance for similar projects.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106712
The block-in-matrix rocks (bimrocks) are a complex type of rock in which hard blocks are bonded in a weak matrix. Despite the widespread distribution of bimrocks in nature, they are usually ignored in the design and analysis stages, resulting in underestimation or overestimating critical design parameters. Moreover, in studies regarding the failure behaviour of the bimrocks, strain rate has been ignored and no study has focused on the influence of strain rate on the failure mechanism of bimrocks. Therefore, this study aims to numerically study the impact of the strain rate increase on the bimrock rectangular specimens with different volumetric bloc proportions (VBP). The combined finite-discrete element method (FDEM) is employed as the numerical tool to analyze the study objectives. FDEM has proved to be a suitable candidate, having extraordinary capabilities in modeling fracture development in brittle rock under complex loading types. Before the analysis of the bimrocks, a verification example is explained to demonstrate the capability of this method in modeling an existing problem. Six strain rates of 0.046/s, 0.092/s, 0.18/s, 0.74/s, 1.85/s, and 5.55/s are the considered strain rates chosen according to a detailed literature search. This study first discusses the influence of the strain rate on the response of the intact specimens composed of pure matrix or pure block properties. Then, four VBP of 25%, 50%, 75%, and 90% are numerically built and put under the chosen strain rates. The simulation results show that the strain rate considerably impacts the failure pattern, peak stress, and post-peak behavior of the bimrocks. Notably, it is observed that the low to medium strain rate (0.046/s, 0.092/s, 0.18/s s) have a similar influence on the failure of the bimrocks, while the loadings higher than these amounts cause complex failure (mainly multiple fracturing or axial splitting) and rapid increase in the peak stress. Furthermore, these observations are somehow similar in the bimrocks having a VBP of equal or less than 75%. The bimrock with a VBP of 90% behaves differently, and the rate of change in loading has a minor influence on the failure type (all are of axial splitting). Also, the change in the rate of loading also has a slight impact on the peak stress, and this parameter is observed to have a little change even under the very high strain rate of 5.55/s.
{"title":"Effect of strain rate on the failure of bimrocks using the combined finite-discrete element method","authors":"","doi":"10.1016/j.compgeo.2024.106712","DOIUrl":"10.1016/j.compgeo.2024.106712","url":null,"abstract":"<div><p>The block-in-matrix rocks (bimrocks) are a complex type of rock in which hard blocks are bonded in a weak matrix. Despite the widespread distribution of bimrocks in nature, they are usually ignored in the design and analysis stages, resulting in underestimation or overestimating critical design parameters. Moreover, in studies regarding the failure behaviour of the bimrocks, strain rate has been ignored and no study has focused on the influence of strain rate on the failure mechanism of bimrocks. Therefore, this study aims to numerically study the impact of the strain rate increase on the bimrock rectangular specimens with different volumetric bloc proportions (VBP). The combined finite-discrete element method (FDEM) is employed as the numerical tool to analyze the study objectives. FDEM has proved to be a suitable candidate, having extraordinary capabilities in modeling fracture development in brittle rock under complex loading types. Before the analysis of the bimrocks, a verification example is explained to demonstrate the capability of this method in modeling an existing problem. Six strain rates of 0.046/s, 0.092/s, 0.18/s, 0.74/s, 1.85/s, and 5.55/s are the considered strain rates chosen according to a detailed literature search. This study first discusses the influence of the strain rate on the response of the intact specimens composed of pure matrix or pure block properties. Then, four VBP of 25%, 50%, 75%, and 90% are numerically built and put under the chosen strain rates. The simulation results show that the strain rate considerably impacts the failure pattern, peak stress, and post-peak behavior of the bimrocks. Notably, it is observed that the low to medium strain rate (0.046/s, 0.092/s, 0.18/s s) have a similar influence on the failure of the bimrocks, while the loadings higher than these amounts cause complex failure (mainly multiple fracturing or axial splitting) and rapid increase in the peak stress. Furthermore, these observations are somehow similar in the bimrocks having a VBP of equal or less than 75%. The bimrock with a VBP of 90% behaves differently, and the rate of change in loading has a minor influence on the failure type (all are of axial splitting). Also, the change in the rate of loading also has a slight impact on the peak stress, and this parameter is observed to have a little change even under the very high strain rate of 5.55/s.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151672","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106719
The significance of various unloading conditions on the strength and deformation characteristics of transverse isotropic rocks cannot be overstated. In this paper, we utilized a discrete element numerical method to simulate unloading pressures on composite rocks featuring laminated dips of 0°, 30°, 45°, 60°, and 90°. We analyzed the effects of various initial confining pressures, degrees of initial damage, and unloading rates on the strength and deformation of these composite rocks. Real-time acoustic emission event monitoring was conducted on the composite rocks, and we investigated the internal damage deterioration mechanism under different unloading conditions based on the moment tensor theory. The findings indicated that the peak strength of all dipping composite rocks exhibited a positive correlation with the initial envelope pressure and a negative correlation with the unloading rate. Moreover, the strains including axial, lateral and volumetric demonstrated an increase with initial confining pressure and initial damage, while they decreased with the unloading rate. The final damage of the composite rock, quantified by the number of cracks, displayed a positive correlation with the initial confining pressure and initial damage, and a negative correlation with the unloading rate. Analysis of the moment tensor of acoustic emission events for each isotropy/deviation ratio revealed that the number of acoustic emission events associated with compression-dominated failure increased proportionally with increasing confining pressure, while the number of acoustic radiation events linked with tensile damage decreased. Furthermore, with the increase in the unloading rate, shear-dominated acoustic emission events escalated while compression-dominated acoustic radiation events decreased.
{"title":"Three-dimensional discrete element simulation on mechanical response and failure characteristics of composite rock under triaxial unloading condition","authors":"","doi":"10.1016/j.compgeo.2024.106719","DOIUrl":"10.1016/j.compgeo.2024.106719","url":null,"abstract":"<div><p>The significance of various unloading conditions on the strength and deformation characteristics of transverse isotropic rocks cannot be overstated. In this paper, we utilized a discrete element numerical method to simulate unloading pressures on composite rocks featuring laminated dips of 0°, 30°, 45°, 60°, and 90°. We analyzed the effects of various initial confining pressures, degrees of initial damage, and unloading rates on the strength and deformation of these composite rocks. Real-time acoustic emission event monitoring was conducted on the composite rocks, and we investigated the internal damage deterioration mechanism under different unloading conditions based on the moment tensor theory. The findings indicated that the peak strength of all dipping composite rocks exhibited a positive correlation with the initial envelope pressure and a negative correlation with the unloading rate. Moreover, the strains including axial, lateral and volumetric demonstrated an increase with initial confining pressure and initial damage, while they decreased with the unloading rate. The final damage of the composite rock, quantified by the number of cracks, displayed a positive correlation with the initial confining pressure and initial damage, and a negative correlation with the unloading rate. Analysis of the moment tensor of acoustic emission events for each isotropy/deviation ratio revealed that the number of acoustic emission events associated with compression-dominated failure increased proportionally with increasing confining pressure, while the number of acoustic radiation events linked with tensile damage decreased. Furthermore, with the increase in the unloading rate, shear-dominated acoustic emission events escalated while compression-dominated acoustic radiation events decreased.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151673","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106720
Permeable pipe piles accelerate the bearing capacity of the pile foundation by releasing the excess pore water pressure (EPWP) of the soil around the pile through appropriate openings in the pile body. This study couples the Material Point Method (MPM) and the Finite Element Method (FEM) to establish a full-process model of pile driving and consolidation of permeable piles, and proposes a continuous drainage boundary condition that can reflect the plugging effect of permeable holes. The correctness of the model and boundary conditions are verified by comparison with experiments, and then the effects of soil properties, opening characteristics, and boundary permeability on the accelerated consolidation effect of permeable piles are analyzed. The results show that: the permeable pile with a permeable area ratio greater than 50% and a local opening ratio greater than 5% can save more than 60% of the consolidation time compared to conventional piles; the proposed boundary conditions can accurately describe the permeability of the permeable hole under the influence of plugging; in addition, the calculation formulae for the accelerated consolidation effect of permeable piles and the variation of continuous drainage boundary interface parameters with permeable area ratio are given, which can provide references for engineering design.
{"title":"Analysis of accelerated consolidation effect of permeable pipe pile using coupled MPM-FEM method and continuous drainage boundary condition","authors":"","doi":"10.1016/j.compgeo.2024.106720","DOIUrl":"10.1016/j.compgeo.2024.106720","url":null,"abstract":"<div><p>Permeable pipe piles accelerate the bearing capacity of the pile foundation by releasing the excess pore water pressure (EPWP) of the soil around the pile through appropriate openings in the pile body. This study couples the Material Point Method (MPM) and the Finite Element Method (FEM) to establish a full-process model of pile driving and consolidation of permeable piles, and proposes a continuous drainage boundary condition that can reflect the plugging effect of permeable holes. The correctness of the model and boundary conditions are verified by comparison with experiments, and then the effects of soil properties, opening characteristics, and boundary permeability on the accelerated consolidation effect of permeable piles are analyzed. The results show that: the permeable pile with a permeable area ratio greater than 50% and a local opening ratio greater than 5% can save more than 60% of the consolidation time compared to conventional piles; the proposed boundary conditions can accurately describe the permeability of the permeable hole under the influence of plugging; in addition, the calculation formulae for the accelerated consolidation effect of permeable piles and the variation of continuous drainage boundary interface parameters with permeable area ratio are given, which can provide references for engineering design.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106735
For the box-jacking constructions with an extra large rectangular tunnel profile, they tend to face a challenge in efficiently tunneling and precisely regulating tunneling attitudes. So far, few investigations or technical experience can rise to this challenge. For this, based on Shasan project that employs a box-jacking machine featuring in the largest rectangular tunnel profile in the world, the study intends to find out an effective way to enhance tunneling efficiency and regulate tunneling attitudes through revolving patterns of cutterheads. Two classes of revolving patterns of cutterheads are thus designed, one is bilateral inconsistency of cutting velocities, and the other is cutting direction consistent or reverse on upper and lower tunneling faces. Via the approach coupling Discrete Element Method (DEM) to Finite Element Method (FEM), mechanical responses of soil and the machine during dynamic tunneling are obtained. Based on data obtained from the project, the numerical model proves valid for further parametric investigations. Grounded in numerical results, a linear correlation between revolving patterns of cutterheads and moments of machine is figured out, and their interaction mechanisms are revealed. Some suggestions for preventing muck from stagnation and for design of the machine are offered to coming practical engineering.
{"title":"Study on the influence of revolving patterns of cutterheads on tunneling operations concerning the box-jacking construction with an extra large rectangular tunnel profile via discrete-continuum coupling","authors":"","doi":"10.1016/j.compgeo.2024.106735","DOIUrl":"10.1016/j.compgeo.2024.106735","url":null,"abstract":"<div><p>For the box-jacking constructions with an extra large rectangular tunnel profile, they tend to face a challenge in efficiently tunneling and precisely regulating tunneling attitudes. So far, few investigations or technical experience can rise to this challenge. For this, based on Shasan project that employs a box-jacking machine featuring in the largest rectangular tunnel profile in the world, the study intends to find out an effective way to enhance tunneling efficiency and regulate tunneling attitudes through revolving patterns of cutterheads. Two classes of revolving patterns of cutterheads are thus designed, one is bilateral inconsistency of cutting velocities, and the other is cutting direction consistent or reverse on upper and lower tunneling faces. Via the approach coupling Discrete Element Method (DEM) to Finite Element Method (FEM), mechanical responses of soil and the machine during dynamic tunneling are obtained. Based on data obtained from the project, the numerical model proves valid for further parametric investigations. Grounded in numerical results, a linear correlation between revolving patterns of cutterheads and moments of machine is figured out, and their interaction mechanisms are revealed. Some suggestions for preventing muck from stagnation and for design of the machine are offered to coming practical engineering.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-07DOI: 10.1016/j.compgeo.2024.106703
This paper deals with the wetting-induced instabilities that can occur in unsaturated shallow slopes and cause the evolution of slides into flowslides. In particular, it examines the instability phenomena that manifest in the unsaturated regime prior to shear failure, focusing on the triggering mechanism and predisposing factors. A theoretical index to capture instability initiation is derived in a general form that is valid for all single-surface isotropic hardening plasticity models, regardless of the assumption on the flow rule and the type of perturbation applied. The criterion is then specialised to the case of the WR2-Unsat model and used to monitor the stability of a soil element belonging to an ideal infinite slope during wetting processes. The results of the parametric study suggest that particular attention should be paid to relatively steep slopes with a shallow cover of no more than a couple of metres, consisting of highly collapsible and/or compressible coarse-grained soils with a low fine fraction susceptible to liquefaction.
{"title":"Instability mechanisms in partially saturated coarse-grained soils: Implications for rainfall-induced flowslides","authors":"","doi":"10.1016/j.compgeo.2024.106703","DOIUrl":"10.1016/j.compgeo.2024.106703","url":null,"abstract":"<div><p>This paper deals with the wetting-induced instabilities that can occur in unsaturated shallow slopes and cause the evolution of slides into flowslides. In particular, it examines the instability phenomena that manifest in the unsaturated regime prior to shear failure, focusing on the triggering mechanism and predisposing factors. A theoretical index to capture instability initiation is derived in a general form that is valid for all single-surface isotropic hardening plasticity models, regardless of the assumption on the flow rule and the type of perturbation applied. The criterion is then specialised to the case of the WR2-Unsat model and used to monitor the stability of a soil element belonging to an ideal infinite slope during wetting processes. The results of the parametric study suggest that particular attention should be paid to relatively steep slopes with a shallow cover of no more than a couple of metres, consisting of highly collapsible and/or compressible coarse-grained soils with a low fine fraction susceptible to liquefaction.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0266352X24006426/pdfft?md5=5fd773ad1ca5aa207e3f7945a2f49f3f&pid=1-s2.0-S0266352X24006426-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-06DOI: 10.1016/j.compgeo.2024.106711
<div><p>To accurately represent crack evolution and hardening–softening in rock elastoplastic constitutive models: (1) Based on conventional triaxial compression and the Mohr-Coulomb strength criterion, the elastoplastic characterization of crack evolution and hardening–softening under plastic strain and confining pressure is examined, along with its relationships with dilatancy angle <span><math><mi>ψ</mi></math></span>, elastic modulus <span><math><mi>E</mi></math></span>, Poisson’s ratio <span><math><mi>μ</mi></math></span>, cohesion <span><math><mi>c</mi></math></span>, and internal friction angle <span><math><mi>φ</mi></math></span>; (2) Through experiments on silty mudstone, these mechanical parameters are inverted as bivariate functions of plastic shear strain <span><math><msub><mi>γ</mi><mi>p</mi></msub></math></span> and confining pressure <span><math><msub><mi>σ</mi><mn>3</mn></msub></math></span>: <span><math><mrow><mi>ψ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>E</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>μ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>c</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>φ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, establishing a model that describes crack evolution and hardening–softening; (3) The predictive capability of the model is validated through secondary development in FLAC<sup>3D</sup> and comparison with experimental results. The study reveals that crack volumetric strain is equal to plastic volumetric strain, and crack evolution can be indirectly quantified through <span><math><mrow><mi>ψ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>. Disregarding elastoplastic coupling, the elastic phase of the stress–strain curve is represented by <span><math><mrow><mi>E</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>μ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, while the hardening–softening phase is described by <span><math><mrow><mi>c</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>φ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><
{"title":"Characterization of crack evolution and hardening-softening in rock elastoplastic constitutive models","authors":"","doi":"10.1016/j.compgeo.2024.106711","DOIUrl":"10.1016/j.compgeo.2024.106711","url":null,"abstract":"<div><p>To accurately represent crack evolution and hardening–softening in rock elastoplastic constitutive models: (1) Based on conventional triaxial compression and the Mohr-Coulomb strength criterion, the elastoplastic characterization of crack evolution and hardening–softening under plastic strain and confining pressure is examined, along with its relationships with dilatancy angle <span><math><mi>ψ</mi></math></span>, elastic modulus <span><math><mi>E</mi></math></span>, Poisson’s ratio <span><math><mi>μ</mi></math></span>, cohesion <span><math><mi>c</mi></math></span>, and internal friction angle <span><math><mi>φ</mi></math></span>; (2) Through experiments on silty mudstone, these mechanical parameters are inverted as bivariate functions of plastic shear strain <span><math><msub><mi>γ</mi><mi>p</mi></msub></math></span> and confining pressure <span><math><msub><mi>σ</mi><mn>3</mn></msub></math></span>: <span><math><mrow><mi>ψ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>E</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>μ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, <span><math><mrow><mi>c</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>φ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, establishing a model that describes crack evolution and hardening–softening; (3) The predictive capability of the model is validated through secondary development in FLAC<sup>3D</sup> and comparison with experimental results. The study reveals that crack volumetric strain is equal to plastic volumetric strain, and crack evolution can be indirectly quantified through <span><math><mrow><mi>ψ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>. Disregarding elastoplastic coupling, the elastic phase of the stress–strain curve is represented by <span><math><mrow><mi>E</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>μ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span>, while the hardening–softening phase is described by <span><math><mrow><mi>c</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><mo>,</mo><mspace></mspace><msub><mi>σ</mi><mn>3</mn></msub><mo>)</mo></mrow></math></span> and <span><math><mrow><mi>φ</mi><mo>(</mo><msub><mi>γ</mi><mi>p</mi></msub><","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-05DOI: 10.1016/j.compgeo.2024.106707
The elasticity law is a great challenge in soils, due to the well-known non-linear, anisotropic, pressure-dependent soil response even at negligibly small strains. A new hyper-elastic formulation is proposed, based on a polynomial expression (including a fabric tensor defining the elastic anisotropy) with two branches, one for the negligibly small stresses, ensuring good convergence properties at low confining pressure, and one for the soil response at intermediate strains, corresponding to stress states inside a single large-sized, yield surface defining the occurrence of large irreversible strain. Typical numerical simulations are discussed for isotropic and oedometric compression and swelling tests, and for undrained triaxial compression tests. The results are compared with those obtained with similar hyper-elastic models proposed in the literature. A comparison with experimental oedometric and drained and undrained triaxial tests on undisturbed samples of London clay is provided, revealing that the proposed model has great flexibility in selecting both the shear stiffness and the evolution of elastic anisotropy, which can be chosen independently, thus providing a general applicability. For instance, the great flexibility of the proposed hyper-elastic formulation can be exploited to model the non-linear swelling curves typically observed in oedometric swelling tests of structured clays or active clays.
{"title":"A new hyper-elastic law for single yield surface constitutive models for clays","authors":"","doi":"10.1016/j.compgeo.2024.106707","DOIUrl":"10.1016/j.compgeo.2024.106707","url":null,"abstract":"<div><p>The elasticity law is a great challenge in soils, due to the well-known non-linear, anisotropic, pressure-dependent soil response even at negligibly small strains. A new hyper-elastic formulation is proposed, based on a polynomial expression (including a fabric tensor defining the elastic anisotropy) with two branches, one for the negligibly small stresses, ensuring good convergence properties at low confining pressure, and one for the soil response at intermediate strains, corresponding to stress states inside a single large-sized, yield surface defining the occurrence of large irreversible strain. Typical numerical simulations are discussed for isotropic and oedometric compression and swelling tests, and for undrained triaxial compression tests. The results are compared with those obtained with similar hyper-elastic models proposed in the literature. A comparison with experimental oedometric and drained and undrained triaxial tests on undisturbed samples of London clay is provided, revealing that the proposed model has great flexibility in selecting both the shear stiffness and the evolution of elastic anisotropy, which can be chosen independently, thus providing a general applicability. For instance, the great flexibility of the proposed hyper-elastic formulation can be exploited to model the non-linear swelling curves typically observed in oedometric swelling tests of structured clays or active clays.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151766","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-09-05DOI: 10.1016/j.compgeo.2024.106721
Structured soft clay is characterised by high sensitivity and compressibility and accumulates excessive deformation under long-term dynamic loads, e.g., traffic loads, which likely threatens the service performance of overlying structures. In this work, to model the long-term mechanical behaviour of structured soft clay and efficiently capture its structural degradation, a new constitutive model was developed. The structural properties of soft clay, i.e., high yield strength and cohesive strength, were considered by a proposed yield surface, with their evolutions related to the combined plastic volumetric and deviatoric strains. The cyclic response of clay to undrained conditions was described through bounding surface theory. Moreover, the influence of the loading frequency on the dynamic response of clay was incorporated into the plastic modulus, and the softening effect caused by the generated excess pore water pressure (EPWP) was described by the shrinkable yield surface. Model validation was then carried out by reproducing both the accumulated strains and EPWPs of five types of reconstituted and structured soft clay. The acceptable consistency between the simulated results and experimental data and the independent and physical meaning of the featured model parameters confirmed the efficiency of the proposed model. More importantly, the evolution of the structural internal variables and with the development of plastic strains effectively represented the structural destruction process of soft clay under long-term cyclic loading conditions.
结构软粘土具有高灵敏度和可压缩性的特点,在长期动态荷载(如交通荷载)作用下会累积过大的变形,从而可能威胁到上覆结构的使用性能。在这项工作中,为了模拟结构软粘土的长期力学行为并有效捕捉其结构退化,开发了一种新的构成模型。软粘土的结构特性,即高屈服强度和内聚强度,是通过建议的屈服面来考虑的,其演变与综合塑性体积应变和偏差应变有关。粘土在不排水条件下的循环响应是通过约束面理论来描述的。此外,加载频率对粘土动态响应的影响被纳入了塑性模量,由产生的过剩孔隙水压力(EPWP)引起的软化效应则由可收缩屈服面来描述。然后,通过再现五种重组和结构软粘土的累积应变和 EPWP,对模型进行了验证。模拟结果与实验数据之间可接受的一致性以及模型特征参数的独立物理意义证实了所提模型的有效性。更重要的是,随着塑性应变的发展,结构内部变量 Si 和 pt′ 的演变有效地代表了软粘土在长期循环加载条件下的结构破坏过程。
{"title":"Constitutive modelling of the shakedown response of sensitive clay to undrained long-term cyclic loads incorporating structural destruction","authors":"","doi":"10.1016/j.compgeo.2024.106721","DOIUrl":"10.1016/j.compgeo.2024.106721","url":null,"abstract":"<div><p>Structured soft clay is characterised by high sensitivity and compressibility and accumulates excessive deformation under long-term dynamic loads, e.g., traffic loads, which likely threatens the service performance of overlying structures. In this work, to model the long-term mechanical behaviour of structured soft clay and efficiently capture its structural degradation, a new constitutive model was developed. The structural properties of soft clay, i.e., high yield strength and cohesive strength, were considered by a proposed yield surface, with their evolutions related to the combined plastic volumetric and deviatoric strains. The cyclic response of clay to undrained conditions was described through bounding surface theory. Moreover, the influence of the loading frequency on the dynamic response of clay was incorporated into the plastic modulus, and the softening effect caused by the generated excess pore water pressure (EPWP) was described by the shrinkable yield surface. Model validation was then carried out by reproducing both the accumulated strains and EPWPs of five types of reconstituted and structured soft clay. The acceptable consistency between the simulated results and experimental data and the independent and physical meaning of the featured model parameters confirmed the efficiency of the proposed model. More importantly, the evolution of the structural internal variables <span><math><msub><mi>S</mi><mi>i</mi></msub></math></span> and <span><math><msubsup><mi>p</mi><mrow><mi>t</mi></mrow><mo>′</mo></msubsup></math></span> with the development of plastic strains effectively represented the structural destruction process of soft clay under long-term cyclic loading conditions.</p></div>","PeriodicalId":55217,"journal":{"name":"Computers and Geotechnics","volume":null,"pages":null},"PeriodicalIF":5.3,"publicationDate":"2024-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142151763","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}