Engineering Analysis with Boundary Elements最新文献_第4页

A novel heterogeneous CPU/GPGPU-accelerated 3D CDEM and its application to modeling deep roadway excavation 一种新型异构CPU/ gpgpu加速三维CDEM及其在深部巷道开挖建模中的应用

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-04-02 DOI: 10.1016/j.enganabound.2025.106224

Junguang Huang , Yiming Zhang , Chun Feng , Huanning Hu , Minjie Wen

{"title":"A novel heterogeneous CPU/GPGPU-accelerated 3D CDEM and its application to modeling deep roadway excavation","authors":"Junguang Huang , Yiming Zhang , Chun Feng , Huanning Hu , Minjie Wen","doi":"10.1016/j.enganabound.2025.106224","DOIUrl":"10.1016/j.enganabound.2025.106224","url":null,"abstract":"<div><div>To improve the accuracy and computational efficiency of the CDEM for deep coal mine roadway excavation modeling, this study proposes a heterogeneous CPU/GPGPU-accelerated solver that integrates a mixed continuous–discontinuous media algorithm. The solver employs an explicit time integration method combined with a modular approach for 3D tetrahedral solid finite elements and fracturable penalty springs, which model rock fracture behavior and the transition from continuum to discontinuum in rock masses. To maximize computational efficiency, the solver uses a hybrid CPU/GPGPU framework with SIMD parallel techniques, achieving up to 600-fold speedup on a single GPGPU. The solver’s accuracy is validated for both quasi-static and dynamic problems, and its scalability across different hardware accelerators is demonstrated. Modeling results from the 22nd mining area of the Quandian coal mine show significant shear deformation and crack evolution in the soft rock, particularly at the intersection of the roof slab and sidewall, where stress concentration and large deformation are most pronounced. These findings validate the efficiency and reliability of the proposed method for simulating and analyzing underground excavation processes.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"177 ","pages":"Article 106224"},"PeriodicalIF":4.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143759161","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}

引用次数: 0

A simple and efficient three-dimensional spring element model for pore seepage problems 孔隙渗流问题的一种简单有效的三维弹簧单元模型

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-04-02 DOI: 10.1016/j.enganabound.2025.106225

Jing Li , Xinguang Zhu , Chun Feng , Minjie Wen , Yiming Zhang

{"title":"A simple and efficient three-dimensional spring element model for pore seepage problems","authors":"Jing Li , Xinguang Zhu , Chun Feng , Minjie Wen , Yiming Zhang","doi":"10.1016/j.enganabound.2025.106225","DOIUrl":"10.1016/j.enganabound.2025.106225","url":null,"abstract":"<div><div>This study introduces a novel spring element model for efficient simulation of nonlinear seepage in porous media. The model discretizes the simulation domain into tetrahedral elements and constructs orthogonal Three-dimensional permeability networks within each element, establishing a quantitative relationship between pipe flow and nodal pressure differences. By developing a mathematical model linking network flow to nodal pressure differences, the method enables precise allocation of pipe flow in the local coordinate system and accurate transformation to the global coordinate system, thereby determining nodal flow and velocity. The Three-Dimensional Seepage Spring Element Method (3D-SSEM) simplifies the element flow matrix in finite element analysis to three essential pipe permeability stiffness values, thereby reducing computational complexity. Coupled with parallel computing strategies, the algorithm achieves significant improvements in computational efficiency and memory usage. The method is validated through four numerical examples, demonstrating high efficiency and accuracy in solving saturated-unsaturated seepage problems. Compared with analytical solutions and other numerical methods, it exhibits superior convergence and reduced solution time while maintaining precision. Additionally, the method effectively simulates complex coupled processes in large-scale real-world environments, offering robust support for practical engineering design optimization.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106225"},"PeriodicalIF":4.2,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143747888","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}

引用次数: 0

Weak voltage signal enhancement for accurate image reconstruction in the craniocerebral EIT 微弱电压信号增强在颅脑电成像中的精确重建

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-04-01 DOI: 10.1016/j.enganabound.2025.106237

Yanyan Shi , Hanxiao Dou , Meng Wang , Hao Su , Feng Fu

{"title":"Weak voltage signal enhancement for accurate image reconstruction in the craniocerebral EIT","authors":"Yanyan Shi , Hanxiao Dou , Meng Wang , Hao Su , Feng Fu","doi":"10.1016/j.enganabound.2025.106237","DOIUrl":"10.1016/j.enganabound.2025.106237","url":null,"abstract":"<div><div>As a promising imaging technique, electrical impedance tomography (EIT) is used to reflect the conductivity distribution variation of human tissues. Different from the lung EIT, the application of the craniocerebral EIT is challenging. This is attributed to the fact that the skull with high resistivity greatly restricts the injected current from flowing into the brain tissue. Consequently, the measured voltage signal is very weak causing poor reconstructed images. To solve this problem, a new strategy based on a multi-layer convolutional neural network (CNN) is proposed for weak voltage signal enhancement. Voltage measurements from the three-layer head model and the single-layer head model perform as the input and the output of the network respectively. The trained network is supposed to enhance the voltage data of the three-layer head model. To test the performance of the proposed method, voltage data processed by the multi-layer CNN is compared with the single-layer voltage data. Besides, comparisons are also made in the case of noise interruption and when the skull thickness varies. The results demonstrate that the processed voltage data is almost consistent with the single-layer voltage data. Compared with the image reconstruction with the three-layer voltage data, there is a large improvement when using the proposed method.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106237"},"PeriodicalIF":4.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738460","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}

引用次数: 0

PINNs-MPF: A Physics-Informed Neural Network framework for Multi-Phase-Field simulation of interface dynamics pass - mpf：一个多相场界面动力学模拟的物理信息神经网络框架

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-04-01 DOI: 10.1016/j.enganabound.2025.106200

Seifallah Elfetni , Reza Darvishi Kamachali

{"title":"PINNs-MPF: A Physics-Informed Neural Network framework for Multi-Phase-Field simulation of interface dynamics","authors":"Seifallah Elfetni , Reza Darvishi Kamachali","doi":"10.1016/j.enganabound.2025.106200","DOIUrl":"10.1016/j.enganabound.2025.106200","url":null,"abstract":"<div><div>We present PINNs-MPF framework, an application of Physics-Informed Neural Networks (PINNs) to handle Multi-Phase-Field (MPF) simulations of microstructure evolution. A combination of optimization techniques within PINNs and in direct relation to MPF method are extended and adapted. The numerical resolution is realized through a multi-variable time-series problem by using fully discrete resolution. Within each interval, space, time, and phases/grains are treated separately, constituting discrete subdomains. PINNs-MPF is equipped with an extended multi-networking (parallelization) concept to subdivide the simulation domain into multiple batches, with each batch associated with an independent NN trained to predict the solution. To ensure continuity across the spatio-temporal-phasic subdomains, a Master NN efficiently is to handle interactions among the multiple networks and facilitates the transfer of learning. A pyramidal training approach is proposed to the PINN community as a dual-impact method: to facilitate the initialization of training when dealing with multiple networks, and to unify the solution through an extended transfer of learning. Furthermore, a comprehensive approach is adopted to specifically focus the attention on the interfacial regions through a dynamic meshing process, significantly simplifying the tuning of hyper-parameters, serving as a key concept for addressing MPF problems using machine learning. We perform a set of systematic simulations that benchmark foundational aspects of MPF simulations, i.e., the curvature-driven dynamics of a diffuse interface, in the presence and absence of an external driving force, and the evolution and equilibrium of a triple junction. The proposed PINNs-MPF framework successfully reproduces benchmark tests with high fidelity and Mean Squared Error (MSE) loss values ranging from 10<sup>−6</sup> to 10<sup>−4</sup> compared to ground truth solutions.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106200"},"PeriodicalIF":4.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738461","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}

引用次数: 0

Eigensolutions to functionally graded material plates covered with piezoelectric surface layers 具有压电表面层的功能梯度材料板的本征解

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-04-01 DOI: 10.1016/j.enganabound.2025.106240

Pengchong Zhang , Wentao Wang , Haohao Xu , Jia Peng , Zixuan Zhou

{"title":"Eigensolutions to functionally graded material plates covered with piezoelectric surface layers","authors":"Pengchong Zhang , Wentao Wang , Haohao Xu , Jia Peng , Zixuan Zhou","doi":"10.1016/j.enganabound.2025.106240","DOIUrl":"10.1016/j.enganabound.2025.106240","url":null,"abstract":"<div><div>The transverse free vibration analysis of composite intelligent plates constituted by the functionally graded substrate and full size surface-attached piezoelectric laminae is conducted by means of the scaled boundary finite element method (SBFEM) in association with the precise integration algorithm (PIA). It is needful to point out that material coefficients of the functionally graded host layer are altered across the single direction or both in-plane coordinate axes and changed as any form of polynomial or non-polynomial formulae. In the suggested methodology, only the outer surface parallel with the <em>x</em>-O-<em>y</em> coordinate plane is required to be meshed with two dimensional spectral elements. Moreover, three and four degrees of freedom for non-homogeneous and piezoelectric laminae respectively are adopted, which is convenient to decrease the calculation expense and increase the computational efficiency. Supported by the scaled boundary coordinate system <em>z</em>-<em>η</em>-<em>ζ</em>, the governing equation of the hybrid plate is expressed as an ordinary differential one. Aided by the highly accurate PIA, the stiffness matrix of each layer from the analytical matrix exponential function can be acquired. Eigensolutions to laminated coupling plates are derived from the eigenvalue equation composed of stiffness and mass matrices. From tabular and graphical comparisons with available data provided by open works, the brilliant correctness and broad utilization of the exploited procedure are revealed. Finally, numerical exercises are implemented to examine impacts of gradient functions, constraint conditions, gradation parameters and aspect ratios on free vibration responses of composite smart plates.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106240"},"PeriodicalIF":4.2,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143747892","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}

引用次数: 0

Efficient BEM for thin-walled inhomogeneous potential problems: Theory and MATLAB code 薄壁非均匀势问题的有效边界元法：理论和MATLAB代码

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-03-31 DOI: 10.1016/j.enganabound.2025.106241

Xiaotong Gao , Yan Gu , Bo Yu , Wenzhen Qu , Haodong Ma

{"title":"Efficient BEM for thin-walled inhomogeneous potential problems: Theory and MATLAB code","authors":"Xiaotong Gao , Yan Gu , Bo Yu , Wenzhen Qu , Haodong Ma","doi":"10.1016/j.enganabound.2025.106241","DOIUrl":"10.1016/j.enganabound.2025.106241","url":null,"abstract":"<div><div>The traditional boundary element method (BEM) often faces challenges in efficiently solving inhomogeneous problems, particularly in thin-walled geometries, due to the need for domain discretization and the handling of nearly singular integrals. In this study, we propose an efficient hybrid algorithm that combines the BEM with physics-informed neural networks (PINNs) to solve inhomogeneous potential problems in thin-walled structures. The approach transforms inhomogeneous equations into equivalent homogeneous ones by subtracting a closed-form particular solution, which is derived using the learning capabilities of PINNs. This methodology not only simplifies the problem formulation but also enhances computational efficiency by eliminating the need for domain discretization, making it particularly well-suited for thin-walled geometries. Additionally, the scaled coordinate transformation BEM, a recently developed technique for solving domain integrals, is also employed for comparative analysis. Finally, a nonlinear coordinate transformation is employed to effectively regularize nearly singular integrals, which are critical in BEM for thin structures. The proposed method achieves accurate and reliable results with a small number of boundary elements, even for structures with extremely small thickness-to-length ratios, as low as 10<sup>−9</sup>. This makes the method highly suitable for modeling thin films and thin-walled structures, particularly in the context of advanced smart materials. The unique contribution of this work lies in the integration of PINNs with BEM to tackle challenges specific to thin-walled inhomogeneous problems, offering a more efficient and accurate solution compared to traditional BEM-based method.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106241"},"PeriodicalIF":4.2,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738462","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}

引用次数: 0

A two-phase coupled FEM-MPM framework for large deformation analysis of slopes considering multiple influencing factors 考虑多种影响因素的边坡大变形分析的两相FEM-MPM耦合框架

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-03-30 DOI: 10.1016/j.enganabound.2025.106242

Dezhi Zai , Rui Pang , Yang Zhou , Jun Liu

{"title":"A two-phase coupled FEM-MPM framework for large deformation analysis of slopes considering multiple influencing factors","authors":"Dezhi Zai , Rui Pang , Yang Zhou , Jun Liu","doi":"10.1016/j.enganabound.2025.106242","DOIUrl":"10.1016/j.enganabound.2025.106242","url":null,"abstract":"<div><div>Numerical simulation of slope instability remains a critical challenge in geotechnical engineering, particularly for large deformations and long-term seepage. The traditional finite element method (FEM) is prone to mesh distortion in large-deformation modeling, while the material point method (MPM) is less efficient for small deformations associated with long-term seepage. To overcome these limitations, this study proposes a novel two-phase coupled FEM-MPM framework, which is validated through two representative case studies. Subsequently, the dynamic response of the Baishuihe landslide under complex conditions, including reservoir water level fluctuations, rainfall, and seismic excitation, is investigated. The results indicate that reservoir water level drawdown and rainfall are the primary factors driving landslide deformation. Under multi-factor scenarios, the cumulative displacement exceeds the sum of individual factors. Furthermore, the combination of reservoir water level reduction and seismic excitation leads to deeper and more extensive deformation. These findings provide valuable insights into the assessment and mitigation of reservoir landslide disasters, with significant implications for engineering practice.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106242"},"PeriodicalIF":4.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143738463","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}

引用次数: 0

An alternative dual reciprocity BEM for P-SV wave propagation problems: A comparative study P-SV波传播问题的另一种对偶互易边界元：比较研究

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-03-30 DOI: 10.1016/j.enganabound.2025.106238

Pouya Kavandi , Mehdi Panji , Navid Ganjian , Jafar Asgari Marnani

{"title":"An alternative dual reciprocity BEM for P-SV wave propagation problems: A comparative study","authors":"Pouya Kavandi , Mehdi Panji , Navid Ganjian , Jafar Asgari Marnani","doi":"10.1016/j.enganabound.2025.106238","DOIUrl":"10.1016/j.enganabound.2025.106238","url":null,"abstract":"<div><div>This research introduces a dual reciprocity boundary element method (BEM) designed to analyze the transient scattering of vertically travelling incident <em>P</em>-<em>SV</em> waves. By using static fundamental solutions and appropriate predictor operations, the domain inertia integrals from the equilibrium equation were transformed into boundary integral equations. The computable format of the integral equations was achieved by incorporating the effects of free-field displacements into the equations. After coding the formulation, the proposed technique's accuracy and efficiency were assessed through various wave scattering problems, such as an encased round hole, a half-circle depression, and a double-peaked mound, all exposed to vertically incoming <em>P</em>-<em>SV</em> waves. An extensive comparison was conducted with the full-plane time-domain boundary element technique available in the literature, focusing on accuracy and computation time. The findings indicated that despite the complexity and necessity for interior points in dual reciprocity models, it is more advantageous than the traditional full-plane time-domain approach, as it substantially reduces analysis time.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106238"},"PeriodicalIF":4.2,"publicationDate":"2025-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735323","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}

引用次数: 0

High-precision meshless method for 3D radiation diffusion problem in sphere and cylinder 球面和圆柱三维辐射扩散问题的高精度无网格方法

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-03-29 DOI: 10.1016/j.enganabound.2025.106206

Nan Ma, Qiuyan Xu, Zhiyong Liu, Jiye Yang

{"title":"High-precision meshless method for 3D radiation diffusion problem in sphere and cylinder","authors":"Nan Ma, Qiuyan Xu, Zhiyong Liu, Jiye Yang","doi":"10.1016/j.enganabound.2025.106206","DOIUrl":"10.1016/j.enganabound.2025.106206","url":null,"abstract":"<div><div>The problem of radiation diffusion is extremely challenging due to the complex physical processes and nonlinear characteristics of the equation involved. In this paper, we propose a class of high-precision meshless methods for 3D nonlinear radiation diffusion equations applicable to spherical and cylindrical walls. Firstly, when the energy density is linearly related to temperature, we use a full-implicit difference scheme to discretize the time term, and then approximate the spatial term using radial basis functions to construct a new solution scheme for solving the 3D linear radiation diffusion equation. Secondly, when dealing with the nonlinear relationship between energy density and temperature, we successfully reduced the complexity of problem to be by linearizing <span><math><msup><mrow><mi>T</mi></mrow><mrow><mn>4</mn></mrow></msup></math></span>. Then, we use radial basis functions to approximate unknown functions and established a large class of solving schemes, which solved by the Kansa’s method. Finally, we validate the efficiency and high accuracy of the proposed methods through a series of numerical examples on spherical and cylindrical walls. In summary, the meshless numerical solution methods proposed in this paper not only avoids the complexity of meshing in irregular areas, but also provides a new and high-precision numerical solution method for the 3D radiation diffusion equation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106206"},"PeriodicalIF":4.2,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143735324","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}

引用次数: 0

On the improvement of the local boundary conditions in GFEMgl GFEMgl中局部边界条件的改进

IF 4.2 2区工程技术

Engineering Analysis with Boundary Elements Pub Date : 2025-03-29 DOI: 10.1016/j.enganabound.2025.106219

Túlio R.E. Marques , Gabriela M. Fonseca , Rafael M. Lins , Felício B. Barros

{"title":"On the improvement of the local boundary conditions in GFEMgl","authors":"Túlio R.E. Marques , Gabriela M. Fonseca , Rafael M. Lins , Felício B. Barros","doi":"10.1016/j.enganabound.2025.106219","DOIUrl":"10.1016/j.enganabound.2025.106219","url":null,"abstract":"<div><div>In this work, the ZZ-BD recovered stress field is first used to enhance the data transferred from the global to the local scale models in the Generalized Finite Element Method with Global–Local enrichments (GFEM<sup>gl</sup>). The recovered stress field is constructed by solving a block-diagonal system of equations resulting from an <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> approximate function projection associated with the singular stress field in the crack tip neighboring. In GFEM<sup>gl</sup> analysis, the global solution is imposed as Dirichlet or Cauchy-type boundary conditions in the local domain. In the former case, only displacements are considered. The main contribution of this work lies in the definition of the Cauchy boundary conditions, where the stress field is combined with the displacements. A two-dimensional plate problem with an edge crack under mixed opening mode is solved using GFEM<sup>gl</sup>. Stress intensity factors are extracted from global and local problems using the Interaction Integral strategy. Numerical results indicate that the Cauchy boundary conditions with the ZZ-BD recovered stress field provide a more accurate solution than raw or average stress fields, as well as regular Dirichlet boundary conditions. The effects of using a buffer zone in the local problem are also examined. Finally, the Interaction Integral performance strategy is investigated, with the key parameter being the circumference radius that intersects the elements where the stress intensity factors are extracted. An investigation is performed into the local and global problems, and a range of these parameters is identified to minimize errors in the stress intensity factors.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"176 ","pages":"Article 106219"},"PeriodicalIF":4.2,"publicationDate":"2025-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143726064","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}

引用次数: 0