Pub Date : 2026-03-16DOI: 10.1016/j.enganabound.2026.106715
Reda Alshenawy, Saeid Sahmani, Babak Safaei, Yasser Elmoghazy, Ali Al-Alwan, Muneerah Al Nuwairan
{"title":"Retraction notice to “Surface stress effect on nonlinear dynamical performance of nanobeam-type piezoelectric energy harvesters via meshless collocation technique” [Engineering Analysis with Boundary Elements 152 (2023) 104-119]","authors":"Reda Alshenawy, Saeid Sahmani, Babak Safaei, Yasser Elmoghazy, Ali Al-Alwan, Muneerah Al Nuwairan","doi":"10.1016/j.enganabound.2026.106715","DOIUrl":"https://doi.org/10.1016/j.enganabound.2026.106715","url":null,"abstract":"","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"57 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147465830","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 : 2026-03-16DOI: 10.1016/j.enganabound.2026.106716
Reda Alshenawy, Saeid Sahmani, Babak Safaei, Yasser Elmoghazy, Ali Al-Alwan, Mohammed Sobhy
{"title":"Retraction notice to “Nonlinear dynamical performance of microsize piezoelectric bridge-type energy harvesters based upon strain gradient-based meshless collocation approach” [Engineering Analysis with Boundary Elements 151 (2023) 199-215]","authors":"Reda Alshenawy, Saeid Sahmani, Babak Safaei, Yasser Elmoghazy, Ali Al-Alwan, Mohammed Sobhy","doi":"10.1016/j.enganabound.2026.106716","DOIUrl":"https://doi.org/10.1016/j.enganabound.2026.106716","url":null,"abstract":"","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"94 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147465829","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 : 2026-03-09DOI: 10.1016/j.enganabound.2026.106679
Hui Liang, Xiaobo Chen, Masashi Kashiwagi, Francis Noblesse, Frederic Dias
The boundary element method, based on George Green’s foundational work on Green’s functions and identities, has become a cornerstone for modelling wave–structure interactions in marine and offshore hydrodynamics. This special issue presents 11 peer-reviewed papers that showcase recent advancements in related Green’s function methods for applications ranging from ship hydroelasticity and floating offshore wind turbines to ice–structure interactions, green water overtopping, and offshore seismic hazards. Collectively, these contributions highlight the versatility and computational benefits of Green’s function approaches in addressing conventional and emerging challenges in marine engineering. The studies provide physical insights into nonlinear and stochastic phenomena, and practical guidance for the safe design and operation of marine infrastructure in complex ocean environments. It demonstrates the resilience of this methodology, adapting to evolving challenges and engineering demands.
{"title":"Green’s function methods in marine and offshore hydrodynamics","authors":"Hui Liang, Xiaobo Chen, Masashi Kashiwagi, Francis Noblesse, Frederic Dias","doi":"10.1016/j.enganabound.2026.106679","DOIUrl":"https://doi.org/10.1016/j.enganabound.2026.106679","url":null,"abstract":"The boundary element method, based on George Green’s foundational work on Green’s functions and identities, has become a cornerstone for modelling wave–structure interactions in marine and offshore hydrodynamics. This special issue presents 11 peer-reviewed papers that showcase recent advancements in related Green’s function methods for applications ranging from ship hydroelasticity and floating offshore wind turbines to ice–structure interactions, green water overtopping, and offshore seismic hazards. Collectively, these contributions highlight the versatility and computational benefits of Green’s function approaches in addressing conventional and emerging challenges in marine engineering. The studies provide physical insights into nonlinear and stochastic phenomena, and practical guidance for the safe design and operation of marine infrastructure in complex ocean environments. It demonstrates the resilience of this methodology, adapting to evolving challenges and engineering demands.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"297 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147392601","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 : 2026-03-01Epub Date: 2026-01-10DOI: 10.1016/j.enganabound.2026.106639
Junfeng Li , Yongtao Yang , Xiaodong Fu , Wenan Wu , Hangtian Song
Hydro-mechanical coupling in unsaturated media is of significant engineering relevance. To efficiently address quasi-static, long-term hydro-mechanical problems that are typically computationally expensive for conventional explicit schemes, a timestep scaling technique is integrated into the explicit numerical manifold method (NMM). A key advantage of this technique is that it effectively overcomes the strict stability limit of the mechanical solver. This approach aligns the critical timestep size of the mechanical field with that of the hydro field, bridging the significant timescale disparity between the two fields. This enables a unified and large timestep size within a staggered solution strategy, thereby drastically reducing the computational cost. Additionally, a simplified pressure-based explicit algorithm for unsaturated flow is embedded into the hydro-mechanical coupling framework. Verification and application examples confirm the substantial acceleration and high accuracy of the proposed explicit NMM with timestep scaling for hydro-mechanical coupling problems. Furthermore, its potential for extension to other multiphysics problems warrants continued investigation.
{"title":"An explicit numerical manifold method with timestep scaling for quasi-static unsaturated hydro-mechanical coupling problems","authors":"Junfeng Li , Yongtao Yang , Xiaodong Fu , Wenan Wu , Hangtian Song","doi":"10.1016/j.enganabound.2026.106639","DOIUrl":"10.1016/j.enganabound.2026.106639","url":null,"abstract":"<div><div>Hydro-mechanical coupling in unsaturated media is of significant engineering relevance. To efficiently address quasi-static, long-term hydro-mechanical problems that are typically computationally expensive for conventional explicit schemes, a timestep scaling technique is integrated into the explicit numerical manifold method (NMM). A key advantage of this technique is that it effectively overcomes the strict stability limit of the mechanical solver. This approach aligns the critical timestep size of the mechanical field with that of the hydro field, bridging the significant timescale disparity between the two fields. This enables a unified and large timestep size within a staggered solution strategy, thereby drastically reducing the computational cost. Additionally, a simplified pressure-based explicit algorithm for unsaturated flow is embedded into the hydro-mechanical coupling framework. Verification and application examples confirm the substantial acceleration and high accuracy of the proposed explicit NMM with timestep scaling for hydro-mechanical coupling problems. Furthermore, its potential for extension to other multiphysics problems warrants continued investigation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106639"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928768","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 : 2026-03-01Epub Date: 2026-01-12DOI: 10.1016/j.enganabound.2026.106640
Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk
This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular geometries to maximize computational efficiency and VEM for complex shapes to enhance geometric flexibility. Interface compatibility is maintained through coincident nodal correspondence, ensuring solution continuity across domain boundaries while reducing meshing complexity and computational overhead. Validation through electronic packaging applications demonstrates reasonable agreement with reference solutions and acceptable convergence characteristics across varying mesh densities. The method effectively captures thermal distributions and stress concentrations in multi-material systems, establishing a practical computational framework for electronic packaging analysis involving complex geometries. Source codes are available at https://github.com/yanpeng-gong/FeVeCoupled-ElectronicPackaging.
{"title":"A coupled finite element-virtual element method for thermomechanical analysis of electronic packaging structures","authors":"Yanpeng Gong , Sishuai Li , Yue Mei , Bingbing Xu , Fei Qin , Xiaoying Zhuang , Timon Rabczuk","doi":"10.1016/j.enganabound.2026.106640","DOIUrl":"10.1016/j.enganabound.2026.106640","url":null,"abstract":"<div><div>This study presents a finite element and virtual element (FE-VE) coupled method for thermomechanical analysis in electronic packaging structures. The approach partitions computational domains strategically, employing FEM for regular geometries to maximize computational efficiency and VEM for complex shapes to enhance geometric flexibility. Interface compatibility is maintained through coincident nodal correspondence, ensuring solution continuity across domain boundaries while reducing meshing complexity and computational overhead. Validation through electronic packaging applications demonstrates reasonable agreement with reference solutions and acceptable convergence characteristics across varying mesh densities. The method effectively captures thermal distributions and stress concentrations in multi-material systems, establishing a practical computational framework for electronic packaging analysis involving complex geometries. Source codes are available at <span><span>https://github.com/yanpeng-gong/FeVeCoupled-ElectronicPackaging</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106640"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145956651","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 : 2026-03-01Epub Date: 2026-01-07DOI: 10.1016/j.enganabound.2025.106628
Yonghui Li , Mengyao Ma , Dinghao Zhang , Jiawei He
Soil seepage erosion caused by leaks in underground drainage pipelines is one of the key factors leading to ground subsidence. This study establishes a numerical model coupling computational fluid dynamics with the discrete element method (CFD-DEM) to conduct a microscopic investigation of seepage erosion phenomena in unsaturated silt. This numerical model employs the Richards equation to describe seepage processes in unsaturated silt and combines it with the VG model to determine parameters such as the soil's water capacity, saturation, and hydraulic conductivity. Furthermore, based on existing formulas for calculating the shear strength of unsaturated silt, a dynamic updating algorithm for particle cohesion strength was developed to account for saturation effects, thereby reproducing the moisture-induced degradation characteristics of silt. By comparing with laboratory tests, the numerical model was validated for its accuracy in simulating pore water pressure evolution, wetting front propagation rates, bonding strength updates, and soil particle loss processes. Finally, based on numerical simulation results, this study analyzed changes in formation water pressure, contact force chains, and pipeline stress conditions during the erosion-loss process. It revealed the intrinsic mechanism by which leakage-induced erosion of underground drainage pipelines triggers ground collapse at the microscopic level.
{"title":"A CFD-DEM method for simulating the erosion evolution of unsaturated silt induced by leakage through underground pipeline defect","authors":"Yonghui Li , Mengyao Ma , Dinghao Zhang , Jiawei He","doi":"10.1016/j.enganabound.2025.106628","DOIUrl":"10.1016/j.enganabound.2025.106628","url":null,"abstract":"<div><div>Soil seepage erosion caused by leaks in underground drainage pipelines is one of the key factors leading to ground subsidence. This study establishes a numerical model coupling computational fluid dynamics with the discrete element method (CFD-DEM) to conduct a microscopic investigation of seepage erosion phenomena in unsaturated silt. This numerical model employs the Richards equation to describe seepage processes in unsaturated silt and combines it with the VG model to determine parameters such as the soil's water capacity, saturation, and hydraulic conductivity. Furthermore, based on existing formulas for calculating the shear strength of unsaturated silt, a dynamic updating algorithm for particle cohesion strength was developed to account for saturation effects, thereby reproducing the moisture-induced degradation characteristics of silt. By comparing with laboratory tests, the numerical model was validated for its accuracy in simulating pore water pressure evolution, wetting front propagation rates, bonding strength updates, and soil particle loss processes. Finally, based on numerical simulation results, this study analyzed changes in formation water pressure, contact force chains, and pipeline stress conditions during the erosion-loss process. It revealed the intrinsic mechanism by which leakage-induced erosion of underground drainage pipelines triggers ground collapse at the microscopic level.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106628"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928767","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}
In this work, we study the nonlinear Bratu problem in three dimensions (3D), known for its complexity due to the presence of multiple solutions and bifurcations. We employ the Method of Fundamental Solutions (MFS) and Radial Basis Functions (RBF), combined with a High Order Continuation Method (HOCM), to compute the entire solution branch. The nonlinearity of the problem is handled by reformulating it into a sequence of linear problems using a Taylor series expansion. The resulting linear problems are approximated using MFS and RBF. The core idea is to represent the solution as a linear combination of fundamental solutions associated with source points located outside the domain, along with a particular solution constructed at collocation points within the domain. This approach enables the solution to be computed branch by branch through the continuation method. Bifurcation points are detected using a scalar indicator along the solution branches, based on a common tangent operator. This methodology allows for the efficient resolution of nonlinear problems in complex three-dimensional geometries. Our results demonstrate the accuracy and effectiveness of the proposed approach in solving the nonlinear Bratu equation.
{"title":"High-order meshless approach for solving the 3D nonlinear Bratu problem","authors":"El-Houssaine El-Asri , Abdeljalil Tri , Bouazza Braikat , Hamid Zahrouni","doi":"10.1016/j.enganabound.2026.106651","DOIUrl":"10.1016/j.enganabound.2026.106651","url":null,"abstract":"<div><div>In this work, we study the nonlinear Bratu problem in three dimensions (3D), known for its complexity due to the presence of multiple solutions and bifurcations. We employ the Method of Fundamental Solutions (MFS) and Radial Basis Functions (RBF), combined with a High Order Continuation Method (HOCM), to compute the entire solution branch. The nonlinearity of the problem is handled by reformulating it into a sequence of linear problems using a Taylor series expansion. The resulting linear problems are approximated using MFS and RBF. The core idea is to represent the solution as a linear combination of fundamental solutions associated with source points located outside the domain, along with a particular solution constructed at collocation points within the domain. This approach enables the solution to be computed branch by branch through the continuation method. Bifurcation points are detected using a scalar indicator along the solution branches, based on a common tangent operator. This methodology allows for the efficient resolution of nonlinear problems in complex three-dimensional geometries. Our results demonstrate the accuracy and effectiveness of the proposed approach in solving the nonlinear Bratu equation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106651"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145980175","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 : 2026-03-01Epub Date: 2026-01-23DOI: 10.1016/j.enganabound.2026.106655
Shankun Liu, Hebang Qian, Fei Han
This study develops a coupled peridynamic/classical continuum (PD/CC) framework by the Morphing approach for transient heat conduction. By integrating the PD model with the Fourier-based CC model, a proposed hybrid model leverages the nonlocal formulation to characterize heat conduction in critical domains where sharp temperature gradients may occur due to flows or heat pulses, while employing the local formulation in the rest of the domains to reduce computational costs and be conducive to apply the traditional boundary conditions. The equivalence between PD and CC material parameters is established through a homogenized thermal potential, ensuring energy consistency across overlapping subdomains. A Morphing function strategically transitions between models, minimizing spurious “ghost heat” at interfaces. Theoretical dispersion analysis reveals distinct dissipation behaviors in PD and CC regimes, with numerical validations demonstrating agreements with analytical solutions and reference data. Case studies on 1D bars, 2D plates, and a 3D pillar with insulated cracks confirm the model’s accuracy and validity.
{"title":"A Morphing approach to a couple of peridynamic and classical continuum diffusion models for transient heat conduction","authors":"Shankun Liu, Hebang Qian, Fei Han","doi":"10.1016/j.enganabound.2026.106655","DOIUrl":"10.1016/j.enganabound.2026.106655","url":null,"abstract":"<div><div>This study develops a coupled peridynamic/classical continuum (PD/CC) framework by the Morphing approach for transient heat conduction. By integrating the PD model with the Fourier-based CC model, a proposed hybrid model leverages the nonlocal formulation to characterize heat conduction in critical domains where sharp temperature gradients may occur due to flows or heat pulses, while employing the local formulation in the rest of the domains to reduce computational costs and be conducive to apply the traditional boundary conditions. The equivalence between PD and CC material parameters is established through a homogenized thermal potential, ensuring energy consistency across overlapping subdomains. A Morphing function strategically transitions between models, minimizing spurious “ghost heat” at interfaces. Theoretical dispersion analysis reveals distinct dissipation behaviors in PD and CC regimes, with numerical validations demonstrating agreements with analytical solutions and reference data. Case studies on 1D bars, 2D plates, and a 3D pillar with insulated cracks confirm the model’s accuracy and validity.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106655"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024169","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 : 2026-03-01Epub Date: 2026-01-24DOI: 10.1016/j.enganabound.2026.106654
Yifan Huang , Jingwen Liu , Changzheng Cheng , Zhongrong Niu , Changyun Shi , Qi He , Fen Wang
This paper proposes a novel semi-analytical boundary element method (SABEM) for analyzing singular fields in transient uncoupled thermoelastic problems. The boundary-domain integral equations are formulated by integrating the governing equations of the transient uncoupled thermoelastic problems. To preserve the advantage of boundary-only discretization, the dual reciprocity method (DRM) and the particular integral formulation (PIF) are employed to convert domain integrals into boundary integrals. The radial basis functions are used in the DRM and PIF to approximate the distribution of physical fields across the domain. To accurately capture the singular fields, novel semi-analytical elements (SAEs) are constructed based on asymptotic expansions. Different from the conventional boundary element, where the unknowns are the singular physical quantities themselves, the undetermined amplitude coefficients in the SAEs are set as unknowns. Thus, the ill-conditioned system equations containing the undetermined singular physical fields in the conventional BEM can be improved without any mesh refinement. By solving the final system equations, the undetermined amplitude coefficients as well as the physical quantities in the entire domain can be obtained directly. The efficiency and validity of the proposed method are demonstrated through two numerical examples.
{"title":"Semi-analytical boundary element method for transient uncoupled thermoelastic analysis with coupling singularities","authors":"Yifan Huang , Jingwen Liu , Changzheng Cheng , Zhongrong Niu , Changyun Shi , Qi He , Fen Wang","doi":"10.1016/j.enganabound.2026.106654","DOIUrl":"10.1016/j.enganabound.2026.106654","url":null,"abstract":"<div><div>This paper proposes a novel semi-analytical boundary element method (SABEM) for analyzing singular fields in transient uncoupled thermoelastic problems. The boundary-domain integral equations are formulated by integrating the governing equations of the transient uncoupled thermoelastic problems. To preserve the advantage of boundary-only discretization, the dual reciprocity method (DRM) and the particular integral formulation (PIF) are employed to convert domain integrals into boundary integrals. The radial basis functions are used in the DRM and PIF to approximate the distribution of physical fields across the domain. To accurately capture the singular fields, novel semi-analytical elements (SAEs) are constructed based on asymptotic expansions. Different from the conventional boundary element, where the unknowns are the singular physical quantities themselves, the undetermined amplitude coefficients in the SAEs are set as unknowns. Thus, the ill-conditioned system equations containing the undetermined singular physical fields in the conventional BEM can be improved without any mesh refinement. By solving the final system equations, the undetermined amplitude coefficients as well as the physical quantities in the entire domain can be obtained directly. The efficiency and validity of the proposed method are demonstrated through two numerical examples.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106654"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146024170","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 : 2026-03-01Epub Date: 2026-01-09DOI: 10.1016/j.enganabound.2025.106625
Chenliang Li, Donglin Guo, Huihua Zhang
Magneto-electro-elastic (MEE) materials are pivotal in a multitude of fields. In this work, the numerical manifold method (NMM) is innovatively extended to establish 2-D numerical models for perforated MEE solids. The unique dual-cover system, namely, the mathematical cover and the physical cover, enables the NMM to discretize the physical domain with non-conforming mathematical covers straightforwardly. The governing equations and the boundary conditions for hole problems of MEE materials are firstly introduced. Then, by taking into account the governing equations, boundary conditions, and the NMM field approximations, the NMM global discrete equations are derived using the weighted residual method. Through three benchmark examples, the precision of the proposed method is verified, and it is then applied to study two more complex cases, where the effects of hole configurations, loading conditions, and polarization directions on the field quantities of perforated MEE materials are further examined.
{"title":"Modeling of magneto-electro-elastic solids with complex cutouts by the numerical manifold method","authors":"Chenliang Li, Donglin Guo, Huihua Zhang","doi":"10.1016/j.enganabound.2025.106625","DOIUrl":"10.1016/j.enganabound.2025.106625","url":null,"abstract":"<div><div>Magneto-electro-elastic (MEE) materials are pivotal in a multitude of fields. In this work, the numerical manifold method (NMM) is innovatively extended to establish 2-D numerical models for perforated MEE solids. The unique dual-cover system, namely, the mathematical cover and the physical cover, enables the NMM to discretize the physical domain with non-conforming mathematical covers straightforwardly. The governing equations and the boundary conditions for hole problems of MEE materials are firstly introduced. Then, by taking into account the governing equations, boundary conditions, and the NMM field approximations, the NMM global discrete equations are derived using the weighted residual method. Through three benchmark examples, the precision of the proposed method is verified, and it is then applied to study two more complex cases, where the effects of hole configurations, loading conditions, and polarization directions on the field quantities of perforated MEE materials are further examined.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"184 ","pages":"Article 106625"},"PeriodicalIF":4.1,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145928752","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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