Pub Date : 2024-10-28DOI: 10.1016/j.ijsolstr.2024.113121
DongXing Cao , LiMing Wang , JunRu Wang , XiangYing Guo , HaiTao Li
Acoustic metamaterials exhibit exceptional sound absorption capabilities. This study introduces a fractal labyrinthine acoustic metamaterial (FLAM) designed for sound absorption analyses in a low-frequency range of 1–2000 Hz. The fractal curve is constructed through side substitution on an isosceles right triangle, which is chosen as the spatial recursive substructure due to its self-similarity. The FLAM model is then developed. With the thermal viscous losses considered in narrow channels, the sound absorption coefficient of this model is theoretically analyzed as the structural parameters significantly affect the sound absorption. A comprehensive analysis of low-frequency sound absorption performance is conducted for the first three orders, and the reconstruction of the structure with different combinations of fractal orders is examined to optimize the FLAM. The results show that the proposed FLAM achieves nearly perfect absorption in the 50–400 Hz range, with peak absorption coefficients of 0.99, 0.95, and 0.95 for the first three orders. The proposed FLAMs for the first three orders have total thicknesses of , , and , demonstrating excellent low-frequency sound absorption at deep sub-wavelength scales.
{"title":"Design and sound absorption analysis of labyrinthine acoustic metamaterials based on fractal theory","authors":"DongXing Cao , LiMing Wang , JunRu Wang , XiangYing Guo , HaiTao Li","doi":"10.1016/j.ijsolstr.2024.113121","DOIUrl":"10.1016/j.ijsolstr.2024.113121","url":null,"abstract":"<div><div>Acoustic metamaterials exhibit exceptional sound absorption capabilities. This study introduces a fractal labyrinthine acoustic metamaterial (FLAM) designed for sound absorption analyses in a low-frequency range of 1–2000 Hz. The fractal curve is constructed through side substitution on an isosceles right triangle, which is chosen as the spatial recursive substructure due to its self-similarity. The FLAM model is then developed. With the thermal viscous losses considered in narrow channels, the sound absorption coefficient of this model is theoretically analyzed as the structural parameters significantly affect the sound absorption. A comprehensive analysis of low-frequency sound absorption performance is conducted for the first three orders, and the reconstruction of the structure with different combinations of fractal orders is examined to optimize the FLAM. The results show that the proposed FLAM achieves nearly perfect absorption in the 50–400 Hz range, with peak absorption coefficients of 0.99, 0.95, and 0.95 for the first three orders. The proposed FLAMs for the first three orders have total thicknesses of <span><math><mrow><mn>0.032</mn><mi>λ</mi></mrow></math></span>, <span><math><mrow><mn>0.021</mn><mi>λ</mi></mrow></math></span>, and <span><math><mrow><mn>0.019</mn><mi>λ</mi></mrow></math></span>, demonstrating excellent low-frequency sound absorption at deep sub-wavelength scales.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113121"},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554885","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-28DOI: 10.1016/j.ijsolstr.2024.113120
Yifei Xu , Haoran Lu , Zhigang Cao , Songye Zhu
Locally resonant metamaterials provide exceptional wave manipulation capabilities in the low-frequency regime. This study introduces a buried metabarrier, which can simultaneously harness both resonant and geometric scatterings, to attenuate surface Rayleigh waves at both low and high frequencies induced by traffic. In particular, how the buried arrangements of metabarriers influence their resonant- and geometric-scattering mechanisms is investigated by considering the metabarrier units buried vertically and horizontally in the ground. To this purpose, a numerical finite element model, which is verified through comparisons with existing studies, is developed to analyze the attenuation performance of the metabarrier. Using this model, we perform parametric studies to examine the effects of the material properties and dimensions of the metabarriers on their attenuation behavior. Due to resonant scattering, low-frequency Rayleigh waves are mainly reflected by the vertical metabarriers; in contrast, they are predominantly converted into refracted bulk waves by the horizontal metabarriers. Additionally, the geometric scattering of horizontal metabarriers yields Bragg effects, which can reflect more high-frequency Rayleigh waves and induce a partial mode conversion to transverse bulk waves. Our systematic investigations will, to some extent, facilitate the future design of a well-performing metabarrier attenuating broadband Rayleigh waves.
{"title":"Metabarriers for mitigating traffic-induced surface waves: Mechanism dependence on buried arrangements","authors":"Yifei Xu , Haoran Lu , Zhigang Cao , Songye Zhu","doi":"10.1016/j.ijsolstr.2024.113120","DOIUrl":"10.1016/j.ijsolstr.2024.113120","url":null,"abstract":"<div><div>Locally resonant metamaterials provide exceptional wave manipulation capabilities in the low-frequency regime. This study introduces a buried metabarrier, which can simultaneously harness both resonant and geometric scatterings, to attenuate surface Rayleigh waves at both low and high frequencies induced by traffic. In particular, how the buried arrangements of metabarriers influence their resonant- and geometric-scattering mechanisms is investigated by considering the metabarrier units buried vertically and horizontally in the ground. To this purpose, a numerical finite element model, which is verified through comparisons with existing studies, is developed to analyze the attenuation performance of the metabarrier. Using this model, we perform parametric studies to examine the effects of the material properties and dimensions of the metabarriers on their attenuation behavior. Due to resonant scattering, low-frequency Rayleigh waves are mainly reflected by the vertical metabarriers; in contrast, they are predominantly converted into refracted bulk waves by the horizontal metabarriers. Additionally, the geometric scattering of horizontal metabarriers yields Bragg effects, which can reflect more high-frequency Rayleigh waves and induce a partial mode conversion to transverse bulk waves. Our systematic investigations will, to some extent, facilitate the future design of a well-performing metabarrier attenuating broadband Rayleigh waves.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113120"},"PeriodicalIF":3.4,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142572818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-26DOI: 10.1016/j.ijsolstr.2024.113113
Bahador Bahrami, Hossein Ahmadian, Mohammad R. Mehraban, Majid R. Ayatollahi
The application of the phase-field method (PFM) to brittle fracture for studying complex fracture phenomena has recently gained attention from researchers. However, there has been limited emphasis on predicting fracture loads for notched components. In this study, numerous phase-field simulations were conducted to compute the fracture load and crack initiation angle in brittle notched components under in-plane loading conditions. The accuracy of the results, verified against experimental data, demonstrates the PFM’s ability to precisely predict both fracture load and fracture initiation angle. Additionally, it has been demonstrated that Miehe’s spectral decomposition method provides more reliable results for notched Brazilian Disc specimens subjected to compressive loading than those obtained using Amor’s volumetric-deviatoric split method.
{"title":"Mixed-mode fracture prediction of notched components using phase-field approach","authors":"Bahador Bahrami, Hossein Ahmadian, Mohammad R. Mehraban, Majid R. Ayatollahi","doi":"10.1016/j.ijsolstr.2024.113113","DOIUrl":"10.1016/j.ijsolstr.2024.113113","url":null,"abstract":"<div><div>The application of the phase-field method (PFM) to brittle fracture for studying complex fracture phenomena has recently gained attention from researchers. However, there has been limited emphasis on predicting fracture loads for notched components. In this study, numerous phase-field simulations were conducted to compute the fracture load and crack initiation angle in brittle notched components under in-plane loading conditions. The accuracy of the results, verified against experimental data, demonstrates the PFM’s ability to precisely predict both fracture load and fracture initiation angle. Additionally, it has been demonstrated that Miehe’s spectral decomposition method provides more reliable results for notched Brazilian Disc specimens subjected to compressive loading than those obtained using Amor’s volumetric-deviatoric split method.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113113"},"PeriodicalIF":3.4,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-24DOI: 10.1016/j.ijsolstr.2024.113112
Andrew J. Stershic , Christopher R. D’Elia , Lauren L. Beghini , Michael R. Hill , Bjørn Clausen , Dorian K. Balch , Michael Maguire , Christopher W. San Marchi , James W. Foulk III , Alexander A. Hanson , Kevin L. Manktelow
Welding processes used in the production of pressure vessels impart residual stresses in the manufactured component. Computational modeling is critical to predicting these residual stress fields and understanding how they interact with notches and flaws to impact pressure vessel durability. In this work, we present a finite element model for a resistance forge weld and validate it using laboratory measurements. Extensive microstructural changes, near-melt temperatures, and large localized deformations along the weld interface pose significant challenges to Lagrangian finite element modeling. The proposed modeling approach overcomes these roadblocks in order to provide a high-fidelity simulation that can predict the residual stress state in the manufactured pressure vessel; a rich microstructural constitutive model accounts for material recrystallization dynamics, a frictional-to-tied contact model is coordinated with the constitutive model to represent interfacial bonding, and adaptive remeshing is employed to alleviate severe mesh distortion. An interrupted-weld approach is applied to the simulation to facilitate comparison to displacement measures. Several techniques are employed for residual stress measurement in order to validate the finite element model: neutron diffraction, the contour method, and the slitting method. Model-measurement comparisons are supplemented with detailed simulations that reflect the configurations of the residual-stress measurement processes themselves. The model results show general agreement with experimental measurements, and we observe some similarities in the features around the weld region. Factors that contribute to model-measurement differences are identified. Finally, we conclude with some discussion of the model development and residual stress measurement strategies, including how to best leverage the efforts put forth here for other weld problems.
{"title":"Adaptively remeshed multiphysical modeling of resistance forge welding with experimental validation of residual stress fields and measurement processes","authors":"Andrew J. Stershic , Christopher R. D’Elia , Lauren L. Beghini , Michael R. Hill , Bjørn Clausen , Dorian K. Balch , Michael Maguire , Christopher W. San Marchi , James W. Foulk III , Alexander A. Hanson , Kevin L. Manktelow","doi":"10.1016/j.ijsolstr.2024.113112","DOIUrl":"10.1016/j.ijsolstr.2024.113112","url":null,"abstract":"<div><div>Welding processes used in the production of pressure vessels impart residual stresses in the manufactured component. Computational modeling is critical to predicting these residual stress fields and understanding how they interact with notches and flaws to impact pressure vessel durability. In this work, we present a finite element model for a resistance forge weld and validate it using laboratory measurements. Extensive microstructural changes, near-melt temperatures, and large localized deformations along the weld interface pose significant challenges to Lagrangian finite element modeling. The proposed modeling approach overcomes these roadblocks in order to provide a high-fidelity simulation that can predict the residual stress state in the manufactured pressure vessel; a rich microstructural constitutive model accounts for material recrystallization dynamics, a frictional-to-tied contact model is coordinated with the constitutive model to represent interfacial bonding, and adaptive remeshing is employed to alleviate severe mesh distortion. An interrupted-weld approach is applied to the simulation to facilitate comparison to displacement measures. Several techniques are employed for residual stress measurement in order to validate the finite element model: neutron diffraction, the contour method, and the slitting method. Model-measurement comparisons are supplemented with detailed simulations that reflect the configurations of the residual-stress measurement processes themselves. The model results show general agreement with experimental measurements, and we observe some similarities in the features around the weld region. Factors that contribute to model-measurement differences are identified. Finally, we conclude with some discussion of the model development and residual stress measurement strategies, including how to best leverage the efforts put forth here for other weld problems.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113112"},"PeriodicalIF":3.4,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593509","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-23DOI: 10.1016/j.ijsolstr.2024.113106
Benhour Amirian, Kaan Inal
The investigation into virtual melting phenomena in nanowires holds significant relevance owing to its profound impact on material durability under extreme loading conditions. Thus, the exploration of this pivotal plastic deformation mechanism is undertaken utilizing the phase-field methodology. Employing a monolithic solver, we solve the coupled highly nonlinear time-dependent Ginzburg–Landau equation and dynamic elasticity equation. Our analysis encompasses the consideration of surface tension stress in conjunction with a coherent solid–liquid interface subjected to uniaxial transformation strain, thereby unveiling intriguing facets of melting phenomena. The investigation delves into the influence of transformation strain, kinetic coefficient, and temperature on the thickness of the solid–liquid interface and its corresponding velocity. This analysis is conducted through meticulous comparison with existing experimental data and molecular dynamics simulation. Moreover, employing the phase-field method yields precise descriptions of the system kinetics, capturing virtual melting phenomena in both pristine and flawed nanowire configurations.
{"title":"An investigation of rapid surface melting in nanowires","authors":"Benhour Amirian, Kaan Inal","doi":"10.1016/j.ijsolstr.2024.113106","DOIUrl":"10.1016/j.ijsolstr.2024.113106","url":null,"abstract":"<div><div>The investigation into virtual melting phenomena in nanowires holds significant relevance owing to its profound impact on material durability under extreme loading conditions. Thus, the exploration of this pivotal plastic deformation mechanism is undertaken utilizing the phase-field methodology. Employing a monolithic solver, we solve the coupled highly nonlinear time-dependent Ginzburg–Landau equation and dynamic elasticity equation. Our analysis encompasses the consideration of surface tension stress in conjunction with a coherent solid–liquid interface subjected to uniaxial transformation strain, thereby unveiling intriguing facets of melting phenomena. The investigation delves into the influence of transformation strain, kinetic coefficient, and temperature on the thickness of the solid–liquid interface and its corresponding velocity. This analysis is conducted through meticulous comparison with existing experimental data and molecular dynamics simulation. Moreover, employing the phase-field method yields precise descriptions of the system kinetics, capturing virtual melting phenomena in both pristine and flawed nanowire configurations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113106"},"PeriodicalIF":3.4,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554854","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-23DOI: 10.1016/j.ijsolstr.2024.113100
Rupesh Prasad, Shantanu S. Mulay, T. Jayachandran
Several thermal protection systems employ sacrificial composite layer that undergoes thermo-chemical decomposition in high-temperature environment. This results in the pyrolysis gas formation (endothermic reaction) that gets trapped inside the voids generated in the ablative matrix phase. These trapped gases apply pore pressure on the structure, along with the mechanical loading, thus significantly influencing the structure failure. A novel thermo-chemical (TC) decomposition and thermo-mechanical (TM) deformation-based coupled multi-physics formulation, applicable to ablative composite systems, is thus presented. A novel shrinkage expression, due to ablative matrix decomposition, is derived. The TC + TM coupled formulation is converted to stress update process, and its results are validated against the available experimental data. The proposed formulation is also converted to boundary value problem employing non-linear finite element framework (NL-FEM). The Jacobian matrices, for one- and two-dimensional cases, are systematically derived, and the proposed NL-FEM formulation is successfully verified against several benchmark problems.
The transient heat conduction equation is finally coupled with the proposed TC + TM formulation (one-way coupling) thus enabling the analysis of more realistic situations where the constant heating rate assumption is not valid. The coupled formulation is finally implemented for several test cases and it is demonstrated that, it has a significant influence on pore pressure and porosity evolution (through pore volumetric strain) within the ablative matrix phase.
{"title":"Constitutive modeling of thermo-chemical decomposition and thermo-mechanical deformation, coupled with transient heat conduction, in ablative matrix composite","authors":"Rupesh Prasad, Shantanu S. Mulay, T. Jayachandran","doi":"10.1016/j.ijsolstr.2024.113100","DOIUrl":"10.1016/j.ijsolstr.2024.113100","url":null,"abstract":"<div><div>Several thermal protection systems employ sacrificial composite layer that undergoes thermo-chemical decomposition in high-temperature environment. This results in the pyrolysis gas formation (endothermic reaction) that gets trapped inside the voids generated in the ablative matrix phase. These trapped gases apply pore pressure on the structure, along with the mechanical loading, thus significantly influencing the structure failure. A novel thermo-chemical (TC) decomposition and thermo-mechanical (TM) deformation-based coupled multi-physics formulation, applicable to ablative composite systems, is thus presented. A novel shrinkage expression, due to ablative matrix decomposition, is derived. The TC + TM coupled formulation is converted to stress update process, and its results are validated against the available experimental data. The proposed formulation is also converted to boundary value problem employing non-linear finite element framework (NL-FEM). The Jacobian matrices, for one- and two-dimensional cases, are systematically derived, and the proposed NL-FEM formulation is successfully verified against several benchmark problems.</div><div>The transient heat conduction equation is finally coupled with the proposed TC + TM formulation (one-way coupling) thus enabling the analysis of more realistic situations where the constant heating rate assumption is not valid. The coupled formulation is finally implemented for several test cases and it is demonstrated that, it has a significant influence on pore pressure and porosity evolution (through pore volumetric strain) within the ablative matrix phase.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113100"},"PeriodicalIF":3.4,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The buckling behaviour of polymethyl methacrylate (PMMA) hemispherical pressure shells under uniform external pressure was investigated experimentally and numerically. Six PMMA hemispherical pressure shells were prepared via the free blow-forming process. The geometry and wall thickness of each hemispherical shell were measured. The collapse loads and final failure modes of all shells were obtained via a hydrostatic pressure device. In addition, through optical 3D scanning, a numerical model of the hemispherical shell that reflects the actual geometric imperfection was established and used in the finite element buckling analysis. The numerical results were in agreement with the test results. These findings provide a reference for evaluating the buckling load of PMMA hemispherical shells prepared via the free blow-forming process.
{"title":"Buckling analysis of PMMA hemispherical pressure shells with thickness variation","authors":"Longhui Wang , Yongmei Zhu , Xilu Zhao , Jian Zhang","doi":"10.1016/j.ijsolstr.2024.113109","DOIUrl":"10.1016/j.ijsolstr.2024.113109","url":null,"abstract":"<div><div>The buckling behaviour of polymethyl methacrylate (PMMA) hemispherical pressure shells under uniform external pressure was investigated experimentally and numerically. Six PMMA hemispherical pressure shells were prepared via the free blow-forming process. The geometry and wall thickness of each hemispherical shell were measured. The collapse loads and final failure modes of all shells were obtained via a hydrostatic pressure device. In addition, through optical 3D scanning, a numerical model of the hemispherical shell that reflects the actual geometric imperfection was established and used in the finite element buckling analysis. The numerical results were in agreement with the test results. These findings provide a reference for evaluating the buckling load of PMMA hemispherical shells prepared via the free blow-forming process.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113109"},"PeriodicalIF":3.4,"publicationDate":"2024-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532425","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-20DOI: 10.1016/j.ijsolstr.2024.113102
Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer
Topological interlocking assemblies (TIA) are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are prevented by the neighbouring blocks and the frame. In the literature, several blocks are introduced that can be arranged into interlocking assemblies, however only few of them can be arranged in non-unique ways. This study investigates a particularly versatile interlocking block called the Versatile Block: this block can be arranged in three different doubly periodic ways given by wallpaper symmetries. We investigate the hypothesis that the arrangement of copies of the same block influences the mechanical response of a TIA. We examine the interlocking mechanism and the correlation between arrangement and overall structural performance in planar TIA consisting of the Versatile Block. Furthermore, we analyse load transfer mechanisms within the assemblies and from the assemblies onto the frame. For fast apriori evaluation of the load transfer onto the frame we introduce a combinatorial model called Interlocking Flows. To investigate our assemblies from a mechanical point of view we conduct several finite element studies. These reveal a strong influence of arrangement on the structural behaviour, for instance, an impact on both the point and amount of maximum deflection under a given load, thereby confirming our hypothesis. We also evaluate the accuracy of the proposed Interlocking Flow model by a comparison with the finite element simulations.
拓扑互锁组件（TIA）是指在运动学上受固定框架约束的块体排列，这样每个块体的所有刚体运动都会受到相邻块体和框架的阻止。文献中介绍了几种可以排列成互锁组件的积木块，但只有少数积木块可以以非唯一的方式进行排列。本研究调查了一种被称为 "多功能积木 "的多功能互锁积木：这种积木可以通过壁纸对称性以三种不同的双周期方式排列。我们研究的假设是，相同积木块副本的排列方式会影响 TIA 的机械响应。我们研究了由多功能块组成的平面 TIA 的互锁机制以及排列方式与整体结构性能之间的相关性。此外，我们还分析了组件内部以及从组件到框架的荷载传递机制。为了快速先验地评估荷载传递到框架上的情况，我们引入了一个名为 "互锁流 "的组合模型。为了从机械角度研究我们的组件，我们进行了多项有限元研究。研究结果表明，排列方式对结构行为有很大影响，例如，对给定载荷下的最大挠度点和最大挠度量都有影响，从而证实了我们的假设。我们还通过与有限元模拟进行比较，评估了所提出的互锁流模型的准确性。
{"title":"Influence of block arrangement on mechanical performance in topological interlocking assemblies: A study of the versatile block","authors":"Tom Goertzen , Domen Macek , Lukas Schnelle , Meike Weiß , Stefanie Reese , Hagen Holthusen , Alice C. Niemeyer","doi":"10.1016/j.ijsolstr.2024.113102","DOIUrl":"10.1016/j.ijsolstr.2024.113102","url":null,"abstract":"<div><div>Topological interlocking assemblies (TIA) are arrangements of blocks kinematically constrained by a fixed frame, such that all rigid body motions of each block are prevented by the neighbouring blocks and the frame. In the literature, several blocks are introduced that can be arranged into interlocking assemblies, however only few of them can be arranged in non-unique ways. This study investigates a particularly versatile interlocking block called the Versatile Block: this block can be arranged in three different doubly periodic ways given by wallpaper symmetries. We investigate the hypothesis that the arrangement of copies of the same block influences the mechanical response of a TIA. We examine the interlocking mechanism and the correlation between arrangement and overall structural performance in planar TIA consisting of the Versatile Block. Furthermore, we analyse load transfer mechanisms within the assemblies and from the assemblies onto the frame. For fast apriori evaluation of the load transfer onto the frame we introduce a combinatorial model called Interlocking Flows. To investigate our assemblies from a mechanical point of view we conduct several finite element studies. These reveal a strong influence of arrangement on the structural behaviour, for instance, an impact on both the point and amount of maximum deflection under a given load, thereby confirming our hypothesis. We also evaluate the accuracy of the proposed Interlocking Flow model by a comparison with the finite element simulations.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113102"},"PeriodicalIF":3.4,"publicationDate":"2024-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142554886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-19DOI: 10.1016/j.ijsolstr.2024.113111
Mingqi Lei , Ramesh Aditya , Lu Liu , Mao See Wu , Jundong Wang , Kun Zhou , Yao Yao
Additively Manufactured (AM) aluminum alloys find extensive applications in various fields due to their favorable properties. Numerical simulations play a crucial role in reducing experimental costs and enhancing reliability. Developing a reliable constitutive numerical model requires careful consideration of the hierarchical microstructure inherent in AM aluminum alloys. In response, a multiscale constitutive model has been formulated for the AlSi10Mg alloy, fabricated through laser powder bed fusion. This model incorporates crystal plasticity theory and micromechanics-based homogenization methods to establish representative volume elements at different length scales. These scales include the grain scale, polycrystalline scale, and macro scale, thus facilitating a seamless transition between them. The model is calibrated using macroscopic and average phase stress–strain relationships, demonstrating its capability to predict lattice strain in each phase. Additionally, this model incorporates a quantitative analysis of the effects of two-phase structure, melt pool structure, and porosity by adjusting microstructure parameters. The developed model is embedded into a user-defined material subroutine, providing an efficient approach to investigate microstructure-property relationships in AM alloys.
快速成型（AM）铝合金因其良好的性能而在各个领域得到广泛应用。数值模拟在降低实验成本和提高可靠性方面发挥着至关重要的作用。要开发可靠的结构数值模型，就必须仔细考虑 AM 铝合金固有的分层微观结构。为此，我们为通过激光粉末床融合制造的 AlSi10Mg 合金制定了一个多尺度构成模型。该模型结合了晶体塑性理论和基于微观力学的均质化方法，以建立不同长度尺度的代表性体积元素。这些尺度包括晶粒尺度、多晶尺度和宏观尺度，从而促进了它们之间的无缝过渡。该模型使用宏观和平均相应力应变关系进行校准，证明了其预测各相晶格应变的能力。此外，该模型还通过调整微观结构参数，对两相结构、熔池结构和孔隙率的影响进行了定量分析。开发的模型被嵌入到用户定义的材料子程序中，为研究 AM 合金的微观结构-性能关系提供了一种有效的方法。
{"title":"A multi-scale constitutive model for AlSi10Mg alloy fabricated via laser powder bed fusion","authors":"Mingqi Lei , Ramesh Aditya , Lu Liu , Mao See Wu , Jundong Wang , Kun Zhou , Yao Yao","doi":"10.1016/j.ijsolstr.2024.113111","DOIUrl":"10.1016/j.ijsolstr.2024.113111","url":null,"abstract":"<div><div>Additively Manufactured (AM) aluminum alloys find extensive applications in various fields due to their favorable properties. Numerical simulations play a crucial role in reducing experimental costs and enhancing reliability. Developing a reliable constitutive numerical model requires careful consideration of the hierarchical microstructure inherent in AM aluminum alloys. In response, a multiscale constitutive model has been formulated for the AlSi10Mg alloy, fabricated through laser powder bed fusion. This model incorporates crystal plasticity theory and micromechanics-based homogenization methods to establish representative volume elements at different length scales. These scales include the grain scale, polycrystalline scale, and macro scale, thus facilitating a seamless transition between them. The model is calibrated using macroscopic and average phase stress–strain relationships, demonstrating its capability to predict lattice strain in each phase. Additionally, this model incorporates a quantitative analysis of the effects of two-phase structure, melt pool structure, and porosity by adjusting microstructure parameters. The developed model is embedded into a user-defined material subroutine, providing an efficient approach to investigate microstructure-property relationships in AM alloys.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113111"},"PeriodicalIF":3.4,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532451","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 : 2024-10-18DOI: 10.1016/j.ijsolstr.2024.113105
Zhao Jing , Yanjie Liu , Lei Duan , Siqi Wang
A novel numerical method, energy element method (EEM), is proposed for the three-dimensional (3D) buckling analysis of stiffened plates with complex geometries. The problem is formulated in a cuboidal domain, and any complex geometric stiffened plate is modeled by assigning cutouts within the cuboidal domain. The stiffened plate is considered as an energy body and is discretized using Gauss points with variable stiffness properties to simulate its energy distribution. Incorporating the extended interval integration, Gauss quadrature, variable stiffness properties, and Chebyshev polynomials, the strain energy of stiffened plates with complex geometries can be numerically simulated by putting the stiffness and thickness of Gauss points in the cutouts to zero in the cuboidal domain. Using the principle of minimum potential energy and Ritz solution procedure, the deformation and buckling behaviors of stiffened plates with complex geometries can be captured. As a result of the new formulations in EEM, new standard energy functionals and solving procedures have been developed. In addition, Gauss points are generated within the energy elements accounting for the geometric boundaries of the stiffened plate, which are characterized by level set functions. EEM is employed to investigate complex-shaped stiffened plates with straight or curvilinear stiffeners, and the results are compared to those obtained using FEM or mesh-free method. The precision, generalization, and stability of EEM are demonstrated.
{"title":"Three-dimensional buckling analysis of stiffened plates with complex geometries using energy element method","authors":"Zhao Jing , Yanjie Liu , Lei Duan , Siqi Wang","doi":"10.1016/j.ijsolstr.2024.113105","DOIUrl":"10.1016/j.ijsolstr.2024.113105","url":null,"abstract":"<div><div>A novel numerical method, energy element method (EEM), is proposed for the three-dimensional (3D) buckling analysis of stiffened plates with complex geometries. The problem is formulated in a cuboidal domain, and any complex geometric stiffened plate is modeled by assigning cutouts within the cuboidal domain. The stiffened plate is considered as an energy body and is discretized using Gauss points with variable stiffness properties to simulate its energy distribution. Incorporating the extended interval integration, Gauss quadrature, variable stiffness properties, and Chebyshev polynomials, the strain energy of stiffened plates with complex geometries can be numerically simulated by putting the stiffness and thickness of Gauss points in the cutouts to zero in the cuboidal domain. Using the principle of minimum potential energy and Ritz solution procedure, the deformation and buckling behaviors of stiffened plates with complex geometries can be captured. As a result of the new formulations in EEM, new standard energy functionals and solving procedures have been developed. In addition, Gauss points are generated within the energy elements accounting for the geometric boundaries of the stiffened plate, which are characterized by level set functions. EEM is employed to investigate complex-shaped stiffened plates with straight or curvilinear stiffeners, and the results are compared to those obtained using FEM or mesh-free method. The precision, generalization, and stability of EEM are demonstrated.</div></div>","PeriodicalId":14311,"journal":{"name":"International Journal of Solids and Structures","volume":"306 ","pages":"Article 113105"},"PeriodicalIF":3.4,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142532426","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
扫码关注我们
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号