Pub Date : 2024-09-30DOI: 10.1016/j.enganabound.2024.105980
Accurately assessing the impact of hydraulic fracturing technology on the heat exchange efficiency of Enhanced Geothermal Systems (EGS-E) is crucial. This paper proposes a coupled FDEM-CFD method to predict the heat exchange efficiency of EGS-E systems. Firstly, the FDEM method was adopted to establish a numerical model for EGS-E horizontal roadways. The physical process of fracture initiation, propagation, and the eventual formation of a coherent fracture network within intact rock mass were numerically studied. Subsequently, combined with CFD method, the flow and heat exchange processes between cold water and rock in horizontal roadway were investigated. The effects of hydraulic fracturing technology on the heat exchange efficiency of EGS-E project were comprehensively studied by comparing the water-rock heat exchange efficiency before and after fracturing. The results show that, hydraulic fracturing can increase the water-rock heat exchange area by 1385.5710 %, and the temperature difference between inlet and outlet increases by 8.3365 %. It shows that hydraulic fracturing improves the heat exchange efficiency of EGS-E.
{"title":"A coupled FDEM-CFD method for modelling heat exchange effectiveness in enhanced geothermal systems-excavation","authors":"","doi":"10.1016/j.enganabound.2024.105980","DOIUrl":"10.1016/j.enganabound.2024.105980","url":null,"abstract":"<div><div>Accurately assessing the impact of hydraulic fracturing technology on the heat exchange efficiency of Enhanced Geothermal Systems (EGS-E) is crucial. This paper proposes a coupled FDEM-CFD method to predict the heat exchange efficiency of EGS-E systems. Firstly, the FDEM method was adopted to establish a numerical model for EGS-E horizontal roadways. The physical process of fracture initiation, propagation, and the eventual formation of a coherent fracture network within intact rock mass were numerically studied. Subsequently, combined with CFD method, the flow and heat exchange processes between cold water and rock in horizontal roadway were investigated. The effects of hydraulic fracturing technology on the heat exchange efficiency of EGS-E project were comprehensively studied by comparing the water-rock heat exchange efficiency before and after fracturing. The results show that, hydraulic fracturing can increase the water-rock heat exchange area by 1385.5710 %, and the temperature difference between inlet and outlet increases by 8.3365 %. It shows that hydraulic fracturing improves the heat exchange efficiency of EGS-E.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142358237","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-27DOI: 10.1016/j.enganabound.2024.105976
Slopes are a crucial structures in open pit mines. Their design has implications on the economic, safety and environmental operation of the mining industry. Designing stable slopes can be challenging due to the complexities introduced by the stratigraphy and hydrology of the strata. With rising commodity costs and inflation rates, mining operating costs are increasing. Reducing operational costs is necessary for mining industries to remain competitive. While steepening the pit slope can decrease stripping materials and save money, it also increases the risk associated with slope surges. Therefore, optimising slopes is crucial for both financial and safety reasons. Numerical models such as the finite element method experience challenges in mesh generation of heterogeneous systems characterised by varying material properties and stratigraphies. Moreover, the need for repetitive geometry update necessitates recursive mesh regeneration that increases the computational burden. Moreover, previous slope optimisation studies focus solely on dry conditions. To consider the complex condition of hydrology along with heterogeneity in the soil stratigraphy, this study develops an optimisation procedure by combining the particle swarm optimisation algorithm and the scaled boundary finite element with an image-based meshing technique to optimise slopes with groundwater and achieve the desired factor of safety (FoS). The method changes the slope design parameters and the phreatic surface of groundwater simultaneously, considering user-defined parameters while iteratively re-meshing the optimisation processes. Several cases are presented, demonstrating the optimisation of bench width, bench angle, backfill parameters, and groundwater pumping levels.
{"title":"Optimisation of open pit slope design considering groundwater effects using particle swarm optimisation and scaled boundary finite element method","authors":"","doi":"10.1016/j.enganabound.2024.105976","DOIUrl":"10.1016/j.enganabound.2024.105976","url":null,"abstract":"<div><div>Slopes are a crucial structures in open pit mines. Their design has implications on the economic, safety and environmental operation of the mining industry. Designing stable slopes can be challenging due to the complexities introduced by the stratigraphy and hydrology of the strata. With rising commodity costs and inflation rates, mining operating costs are increasing. Reducing operational costs is necessary for mining industries to remain competitive. While steepening the pit slope can decrease stripping materials and save money, it also increases the risk associated with slope surges. Therefore, optimising slopes is crucial for both financial and safety reasons. Numerical models such as the finite element method experience challenges in mesh generation of heterogeneous systems characterised by varying material properties and stratigraphies. Moreover, the need for repetitive geometry update necessitates recursive mesh regeneration that increases the computational burden. Moreover, previous slope optimisation studies focus solely on dry conditions. To consider the complex condition of hydrology along with heterogeneity in the soil stratigraphy, this study develops an optimisation procedure by combining the particle swarm optimisation algorithm and the scaled boundary finite element with an image-based meshing technique to optimise slopes with groundwater and achieve the desired factor of safety (FoS). The method changes the slope design parameters and the phreatic surface of groundwater simultaneously, considering user-defined parameters while iteratively re-meshing the optimisation processes. Several cases are presented, demonstrating the optimisation of bench width, bench angle, backfill parameters, and groundwater pumping levels.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142325870","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-26DOI: 10.1016/j.enganabound.2024.105975
This paper presents a novel fully implicit scheme for simulating three-dimensional (3D) oil-water two-phase flow with gravity and capillary forces using the meshless generalized finite difference method (GFDM). The approach combines an implicit Eulerian scheme in time with a GFDM discretization method in space to compute implicit solutions for the pressure and saturation in the flow control equations. The research introduces an L2 norm error formula and conducts a sensitivity analysis on the impact of varying influence domain radii on computational accuracy within the Cartesian node collocation scheme. Findings suggest that larger influence domain radii correspond to reduced computational accuracy, providing a preliminary guideline for selecting the domain radius in 3D GFDM applications. Overall, this paper presents an effective and precise meshless method for addressing two-phase flow challenges in 3D porous media, highlighting the promising prospects of GFDM in numerical simulations.
{"title":"A novel meshless numerical simulation of oil-water two-phase flow with gravity and capillary forces in three-dimensional porous media","authors":"","doi":"10.1016/j.enganabound.2024.105975","DOIUrl":"10.1016/j.enganabound.2024.105975","url":null,"abstract":"<div><div>This paper presents a novel fully implicit scheme for simulating three-dimensional (3D) oil-water two-phase flow with gravity and capillary forces using the meshless generalized finite difference method (GFDM). The approach combines an implicit Eulerian scheme in time with a GFDM discretization method in space to compute implicit solutions for the pressure and saturation in the flow control equations. The research introduces an <em>L</em><sup>2</sup> norm error formula and conducts a sensitivity analysis on the impact of varying influence domain radii on computational accuracy within the Cartesian node collocation scheme. Findings suggest that larger influence domain radii correspond to reduced computational accuracy, providing a preliminary guideline for selecting the domain radius in 3D GFDM applications. Overall, this paper presents an effective and precise meshless method for addressing two-phase flow challenges in 3D porous media, highlighting the promising prospects of GFDM in numerical simulations.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142322327","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-25DOI: 10.1016/j.enganabound.2024.105965
The interaction mechanisms between waves and marine structures are a popular research topic. This paper applies the weakly compressible smoothed particle hydrodynamics (WCSPH) method to study the dynamics of green water overtopping. To enhance the accuracy of the simulations, the SPH method coupled with the large eddy simulation (LES) model is employed for numerical investigations. Initially, we validate the effectiveness of the model by simulating the generation of solitary waves and irregular waves, as well as numerically reproducing the water surface morphology during the interaction between solitary waves and the deck. Subsequently, the validated model is used to study the dynamic characteristics of different types of waves overtopping, revealing significant variations in their motion. Furthermore, we investigate the effect of deck roughness during the entire green water overtopping process in terms of both protrusions extent and distribution, confirming that a reasonable setting of the protrusions can greatly reduce the wave impact loads on the deck, thereby protecting the structure. Additionally, a three-dimensional model is developed to study the green water problem, and we find that the turbulence phenomenon is more pronounced in the three-dimensional scenario.
{"title":"Multi-dimensional modeling of solitary wave–structure interaction problems by using a δ-LES-SPH model","authors":"","doi":"10.1016/j.enganabound.2024.105965","DOIUrl":"10.1016/j.enganabound.2024.105965","url":null,"abstract":"<div><div>The interaction mechanisms between waves and marine structures are a popular research topic. This paper applies the weakly compressible smoothed particle hydrodynamics (WCSPH) method to study the dynamics of green water overtopping. To enhance the accuracy of the simulations, the SPH method coupled with the large eddy simulation (LES) model is employed for numerical investigations. Initially, we validate the effectiveness of the model by simulating the generation of solitary waves and irregular waves, as well as numerically reproducing the water surface morphology during the interaction between solitary waves and the deck. Subsequently, the validated model is used to study the dynamic characteristics of different types of waves overtopping, revealing significant variations in their motion. Furthermore, we investigate the effect of deck roughness during the entire green water overtopping process in terms of both protrusions extent and distribution, confirming that a reasonable setting of the protrusions can greatly reduce the wave impact loads on the deck, thereby protecting the structure. Additionally, a three-dimensional model is developed to study the green water problem, and we find that the turbulence phenomenon is more pronounced in the three-dimensional scenario.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-25DOI: 10.1016/j.enganabound.2024.105932
In recent years, various numerical methods, including finite difference method (FDM), finite volume method (FVM), and finite element method (FEM), have been devised to solve time-fractional PDEs, on different computational geometries. However, owing to the presence of integrals in the definition of space-fractional PDEs (SFPDEs), only a few numerical procedures have been developed for solving SFPDEs on irregular regions. This limitation arises because a Gauss–Legendre quadrature must be employed to approximate certain integrals in the calculation of fractional derivatives. The present paper introduces a novel numerical solution based upon Pascal polynomials and a multiple-scale idea. The strength of this technique lies in the construction of Pascal polynomials from monomials. The Pascal polynomials will be employed for estimating the spatial derivatives of SFPDEs on different non-rectangular physical areas.
{"title":"A mesh-free method using Pascal polynomials for analyzing space-fractional PDEs in irregular biological geometries","authors":"","doi":"10.1016/j.enganabound.2024.105932","DOIUrl":"10.1016/j.enganabound.2024.105932","url":null,"abstract":"<div><div>In recent years, various numerical methods, including finite difference method (FDM), finite volume method (FVM), and finite element method (FEM), have been devised to solve time-fractional PDEs, on different computational geometries. However, owing to the presence of integrals in the definition of space-fractional PDEs (SFPDEs), only a few numerical procedures have been developed for solving SFPDEs on irregular regions. This limitation arises because a Gauss–Legendre quadrature must be employed to approximate certain integrals in the calculation of fractional derivatives. The present paper introduces a novel numerical solution based upon Pascal polynomials and a multiple-scale idea. The strength of this technique lies in the construction of Pascal polynomials from monomials. The Pascal polynomials will be employed for estimating the spatial derivatives of SFPDEs on different non-rectangular physical areas.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-25DOI: 10.1016/j.enganabound.2024.105971
Nonlinear analysis deals with problems that involve large displacements, strains, rotations, and contact problems. Accurate results can be obtained by choosing a reasonable method for decomposing strain and rotation to avoid errors and ensure the correct contact force. A novel full strain-rotation (S-R) decomposition and an augmented Lagrangian enhanced contact model are established within the numerical manifold method (NMM) framework. Limitations in simplified S-R NMM are overcome using our redesigned resolution procedure. A new method has been applied to analyse beams with large deflections, block columns under compression, block sliding, rock falling, and semi-ring contact with block problems. Promising results from the analysis indicate that proposed method is more accurate and effective in theory and numerically than prior approaches when resolving contact problems and large deformations.
{"title":"Nonlinear NMM analysis for large deformation and contact problems: Using full strain-rotation decomposition algorithm and augmented Lagrangian method enhanced open-closed iteration","authors":"","doi":"10.1016/j.enganabound.2024.105971","DOIUrl":"10.1016/j.enganabound.2024.105971","url":null,"abstract":"<div><div>Nonlinear analysis deals with problems that involve large displacements, strains, rotations, and contact problems. Accurate results can be obtained by choosing a reasonable method for decomposing strain and rotation to avoid errors and ensure the correct contact force. A novel full strain-rotation (S-R) decomposition and an augmented Lagrangian enhanced contact model are established within the numerical manifold method (NMM) framework. Limitations in simplified S-R NMM are overcome using our redesigned resolution procedure. A new method has been applied to analyse beams with large deflections, block columns under compression, block sliding, rock falling, and semi-ring contact with block problems. Promising results from the analysis indicate that proposed method is more accurate and effective in theory and numerically than prior approaches when resolving contact problems and large deformations.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142319802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-24DOI: 10.1016/j.enganabound.2024.105960
This article delves into the study of kernel-based learning methods for stochastic partial differential equations. The theory of generalized data and kernel-based probability measures is introduced to construct kernel-based learning estimators, kernel-based learning functions, and discrete kernel-based learning solutions for addressing stochastic differentials, elliptic stochastic partial differential equations, and parabolic stochastic partial differential equations, respectively. The convergence theorems of kernel-based learning algorithms are demonstrated by combining meshfree approximation and kriging interpolation. Moreover, the numerical examples show the efficiency and robustness of kernel-based learning algorithms using various positive definite kernels.
{"title":"Kernel-based learning methods for stochastic partial differential equations","authors":"","doi":"10.1016/j.enganabound.2024.105960","DOIUrl":"10.1016/j.enganabound.2024.105960","url":null,"abstract":"<div><div>This article delves into the study of kernel-based learning methods for stochastic partial differential equations. The theory of generalized data and kernel-based probability measures is introduced to construct kernel-based learning estimators, kernel-based learning functions, and discrete kernel-based learning solutions for addressing stochastic differentials, elliptic stochastic partial differential equations, and parabolic stochastic partial differential equations, respectively. The convergence theorems of kernel-based learning algorithms are demonstrated by combining meshfree approximation and kriging interpolation. Moreover, the numerical examples show the efficiency and robustness of kernel-based learning algorithms using various positive definite kernels.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-24DOI: 10.1016/j.enganabound.2024.105974
The authors propose meta-heuristic optimization algorithms for the vibration and buckling analysis of laminated composite plates. This approach combines unified higher-order shear deformation theory, the Ritz method, and three optimization algorithms: the Shrimp and Goby Association Search Algorithm (SGA), Balancing Composite Motion Optimization (BCMO), and Differential Evolution (DE). The Ritz method, utilizing hybrid shape functions, is employed to solve optimization problems by using the Gram-Schmidt process to construct approximation functions. The SGA and BCMO are applied for the first time to determine the optimal buckling loads and frequencies of laminated composite plates. Numerical examples are provided to explore the influence of fiber angle, modulus ratio, and various boundary conditions on the optimal results. The findings demonstrate that BCMO and SGA are efficient and robust algorithms for addressing the optimization problems of laminated composite plates.
{"title":"Meta-heuristic optimization algorithms for vibration and buckling analysis of laminated composite plates","authors":"","doi":"10.1016/j.enganabound.2024.105974","DOIUrl":"10.1016/j.enganabound.2024.105974","url":null,"abstract":"<div><div>The authors propose meta-heuristic optimization algorithms for the vibration and buckling analysis of laminated composite plates. This approach combines unified higher-order shear deformation theory, the Ritz method, and three optimization algorithms: the Shrimp and Goby Association Search Algorithm (SGA), Balancing Composite Motion Optimization (BCMO), and Differential Evolution (DE). The Ritz method, utilizing hybrid shape functions, is employed to solve optimization problems by using the Gram-Schmidt process to construct approximation functions. The SGA and BCMO are applied for the first time to determine the optimal buckling loads and frequencies of laminated composite plates. Numerical examples are provided to explore the influence of fiber angle, modulus ratio, and various boundary conditions on the optimal results. The findings demonstrate that BCMO and SGA are efficient and robust algorithms for addressing the optimization problems of laminated composite plates.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0955799724004478/pdfft?md5=135bab0003848eced5e3ea20ee88aca0&pid=1-s2.0-S0955799724004478-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142315126","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-23DOI: 10.1016/j.enganabound.2024.105964
This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.
{"title":"3D dynamic analysis in a 3D-FG cylindrical thick panel with two-dimensional nonlinear grading patterns using meshless local Petrov – Galerkin (MLPG) method","authors":"","doi":"10.1016/j.enganabound.2024.105964","DOIUrl":"10.1016/j.enganabound.2024.105964","url":null,"abstract":"<div><div>This study presents a 3D dynamic wave propagation analysis in a 3D-FG cylindrical thick panel with two-directional grading patterns. To this end, the meshless local Petrov–Galerkin (MLPG) method is employed to solve the dynamic equilibrium equations.. Moreover, the mechanical properties of FGMs are simulated through a nonlinear model with radial and axial volume fractions. Time-dependent equations are treated using The Laplace transform with the MLPG method, while the Talbot method is applied to transfer the displacements from Laplace to the time domain. To obtain the best result, the size of the support domain and parameters of the radial basis function is obtained; also, for varied grading patterns and time instants, the elastic wave propagation of displacement is analyzed in radial, hoop, and axial directions. The present method shows high accuracy and efficiency for wave propagation and shock analysis in a 3D-FG cylindrical thick panel with a two-directional grading pattern, thus providing a ground for a more flexible design.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142311458","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 : 2024-09-21DOI: 10.1016/j.enganabound.2024.105969
Nonlinear deformation of geomaterials is one of the important problems in geotechnical engineering. Compared with the finite element method (FEM), meshfree face-based smoothed point interpolation method (FSPIM) has a more exact stiffness and low mesh dependence, which shows great potential in simulating the nonlinear deformation of geomaterials. Compared with the linear FEM, this paper studies the calculation accuracy and efficiency of FSPIM with the T4 scheme for elastoplastic and large deformation problems in geomaterials. This paper first derives the elastoplastic and large deformation SPIM, including the smoothing deformation gradient, smoothing Green–Lagrange strain, the discrete updated Lagrangian governing equation, and elastoplastic constitutive relations that eliminate the effects of rigid body motion. Then, two effective analysis programs are developed for comparative analysis based on the FSPIM and linear FEM. Two classical slope models with different geometrical parameters and constitutive models are employed for numerical tests. Based on the numerical test results, the performance of FSPIM in the analysis of elastoplastic and large deformation problems in geomaterials is evaluated by comparing it with the linear FEM. Finally, the simulation results are discussed, and future work of the FSPIM is proposed.
{"title":"Comparative study of face-based smoothed point interpolation method and linear finite element method for elastoplastic and large deformation problems in geomaterials","authors":"","doi":"10.1016/j.enganabound.2024.105969","DOIUrl":"10.1016/j.enganabound.2024.105969","url":null,"abstract":"<div><div>Nonlinear deformation of geomaterials is one of the important problems in geotechnical engineering. Compared with the finite element method (FEM), meshfree face-based smoothed point interpolation method (FSPIM) has a more exact stiffness and low mesh dependence, which shows great potential in simulating the nonlinear deformation of geomaterials. Compared with the linear FEM, this paper studies the calculation accuracy and efficiency of FSPIM with the T4 scheme for elastoplastic and large deformation problems in geomaterials. This paper first derives the elastoplastic and large deformation SPIM, including the smoothing deformation gradient, smoothing Green–Lagrange strain, the discrete updated Lagrangian governing equation, and elastoplastic constitutive relations that eliminate the effects of rigid body motion. Then, two effective analysis programs are developed for comparative analysis based on the FSPIM and linear FEM. Two classical slope models with different geometrical parameters and constitutive models are employed for numerical tests. Based on the numerical test results, the performance of FSPIM in the analysis of elastoplastic and large deformation problems in geomaterials is evaluated by comparing it with the linear FEM. Finally, the simulation results are discussed, and future work of the FSPIM is proposed.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":null,"pages":null},"PeriodicalIF":4.2,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142275744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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