{"title":"Fourth-order phase-field models with a novel family of degradation functions for brittle fracture in magneto-electro-elastic materials","authors":"Changyu Wang , Liming Zhou","doi":"10.1016/j.enganabound.2025.106323","DOIUrl":"10.1016/j.enganabound.2025.106323","url":null,"abstract":"<div><div>In this paper, a thermodynamically consistent fourth-order phase-field model for brittle fracture in magneto-electro-elastic (MEE) materials is developed. The multi-physics fracture problem is decoupled and solved sequentially using a multi-physics hybrid staggered (MPHS) scheme. A novel family of logarithmic degradation functions (DF) is proposed, the superiority of which over other popular DFs is demonstrated through several analytical examples. Systematic 2D and 3D numerical simulations are performed to discuss the effects of external electro-magnetic fields and the boundary permeabilities on crack initiation and propagation. This work advances the assessment methodology for the integrity of MEE-based structures.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106323"},"PeriodicalIF":4.2,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178766","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}
{"title":"Zonal free element method for solving 2D elastoplastic dynamic problems","authors":"Yi-Fan Wang , Hai-Feng Peng , Xiao-Wei Gao","doi":"10.1016/j.enganabound.2025.106321","DOIUrl":"10.1016/j.enganabound.2025.106321","url":null,"abstract":"<div><div>In this paper, an elastoplastic dynamic analysis method based on the zonal free element method (ZFrEM) is introduced to solve material nonlinearity problems in dynamic systems. By integrating the collocation element technique with the generalized smoothed Galerkin weak form, a robust and computationally efficient numerical analysis framework is developed As a meshfree method, the ZFrEM discretizes the computational domain into a series of points, where the free elements are constructed by using the collocation points and their surrounding nodes. The ZFrEM borrows the concept of Lagrangian isoparametric elements from the finite element method to form shape functions for each node within the free elements. In the constitutive equation describing the problem, the traditional motion equation is used, with damping forces neglected. The associated flow rule is adopted to characterize the evolution of plastic strain, and isotropic hardening models are employed to simulate material nonlinearities. The Newton–Raphson iterative scheme and Newmark temporal discretization technique are used to solve the dynamic nonlinear problems. Three numerical examples are given to verify the accuracy and convergence of the presented method in solving the elastoplastic problems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106321"},"PeriodicalIF":4.2,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178664","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}
{"title":"Corrigendum to ‘A stable numerical investigation based on geometric greedy points for 2D time-fractional partial integro-differential equations with singular kernels’","authors":"Mojtaba Fardi, Banafsheh Raeisi, Mohammadreza Ahmadi Darani","doi":"10.1016/j.enganabound.2025.106248","DOIUrl":"10.1016/j.enganabound.2025.106248","url":null,"abstract":"","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106248"},"PeriodicalIF":4.2,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144184179","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}
Gabriela R. Fernandes , José J.C. Pituba , Eduardo A. de Souza Neto
{"title":"A 2D quadratically convergent boundary element formulation for crack nucleation and propagation","authors":"Gabriela R. Fernandes , José J.C. Pituba , Eduardo A. de Souza Neto","doi":"10.1016/j.enganabound.2025.106272","DOIUrl":"10.1016/j.enganabound.2025.106272","url":null,"abstract":"<div><div>A Boundary Element formulation, named Boundary Element Model with Quadratic convergence applied to Strong Discontinuities (BEMQ-SD), incorporating the nucleation and propagation of cracks is proposed. It relies crucially on the description of the fractured body as a continuum medium with embedded strong discontinuities, treated by means of a well-established regularization approach. The (quasi-brittle) continuum is modelled as an elasto-plastic material with softening. The singularity of the acoustic tensor is adopted as the criterion for crack nucleation, in which the normal direction to the crack surface is defined by an eigenvector of the singular acoustic tensor. A combined Newton-Raphson/Arc-length iterative method is used to solve the corresponding equilibrium problem and trace the unstable equilibrium paths typically observed in problems including fracturing phenomena. The consistent linearization of the relevant boundary element equations ensures quadratic rates of asymptotic convergence of the equilibrium iterations, resulting in a low computational cost overall procedure. The framework is tested by means of numerical examples which also demonstrate the fracture energy objectivity of the proposed approach.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106272"},"PeriodicalIF":4.2,"publicationDate":"2025-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144184182","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}
Muzammal Hameed Tariq , Aneela Bibi , Jianzhou Ge , Lihua Wang , Yue-Ting Zhou
{"title":"Coupling of poro-electro-elastic effects in a conical shell under various loadings at its apex","authors":"Muzammal Hameed Tariq , Aneela Bibi , Jianzhou Ge , Lihua Wang , Yue-Ting Zhou","doi":"10.1016/j.enganabound.2025.106300","DOIUrl":"10.1016/j.enganabound.2025.106300","url":null,"abstract":"<div><div>Porous materials, with intricate structures and high permeability, play a crucial role in applications requiring enhanced conductivity, stability, and adaptability. This study, for the first time, comprehensively investigates the coupling of poro-electro-elastic (PEE) effects in a conical shell. We derive three-dimensional solutions using potential theory and Green’s function methods to address diverse PEE scenarios, including axial compression due to point forces and charges (including both solid and fluid phases), bending from transverse forces and concentrated moments, and torsion. The solutions, expressed in elementary functions, ensure practical applicability and are validated against existing literature. A numerical analysis based on CdSe and <span><math><mrow><mi>B</mi><mi>a</mi><mi>T</mi><mi>i</mi><msub><mrow><mi>O</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math></span> crystals examines PEE behavior under various loading conditions. Contour visualizations across different apex angles reveal novel physical insights, including contour smoothing with distance, zero-field limits at greater distances, concentrated field effects near action points, singular and symmetric behaviors, rapid variations near sources, steep gradients at the vertex, zero-common tangents, and significant field alterations due to apex angle variations. These findings establish a crucial framework for advancing the understanding of PEE materials, optimizing piezoelectric sensors and actuators, and enhancing conical structures in geotechnical engineering.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106300"},"PeriodicalIF":4.2,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144166666","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}
Zhongxian Liu , Jiaqiao Liu , Zhenen Huang , Weiguo He , Chao Ma
{"title":"The 3D FMIBEM-FEM coupled method for full-process damage assessment of mountain tunnels induced by active faults","authors":"Zhongxian Liu , Jiaqiao Liu , Zhenen Huang , Weiguo He , Chao Ma","doi":"10.1016/j.enganabound.2025.106306","DOIUrl":"10.1016/j.enganabound.2025.106306","url":null,"abstract":"<div><div>This paper establishes a novel full-process numerical simulation framework for analyzing the 3D seismic response of mountain tunnels induced by active faults. The framework employs a two-step approach to achieve wavefield transmission through equivalent seismic load: first, a highly efficient and accurate FMIBEM (Fast multipole indirect boundary element method) is used for large-scale 3D numerical simulations at the regional scale to generate broadband ground motions (1–5 Hz) for specific sites; subsequently, using the FEM (Finite element method), a refined simulation of the plastic deformation of surrounding rock and the elastoplastic behavior of the tunnel structure was conducted at the engineering scale. The accuracy of the framework has been validated. To further demonstrate its effectiveness, the framework is applied to analyze the impact of different fault movement mechanisms on the damage to mountain tunnels based on a scenario earthquake (Mw 6.7). By introducing tunnel structure damage classification and corresponding damage indicators, the structural damage levels of tunnels subjected to active fault movements are quantitatively evaluated. The findings demonstrate that the framework successfully simulates the entire process, from fault rupture and terrain amplification to the seismic response of tunnel structures. Furthermore, the severity of tunnel damage caused by different fault types is ranked as follows: reverse fault > normal fault > strike-slip fault.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106306"},"PeriodicalIF":4.2,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178663","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}
{"title":"A fast directional boundary element method for solving wideband three-dimensional half-space acoustic problems","authors":"Haoyang Li, Yijun Liu","doi":"10.1016/j.enganabound.2025.106322","DOIUrl":"10.1016/j.enganabound.2025.106322","url":null,"abstract":"<div><div>This paper presents a novel wideband fast multipole boundary element method (BEM) based on a fast directional algorithm (FDA) for solving large-scale three-dimensional (3-D) half-space acoustic wave problems. The method employs the half-space Green’s function in the boundary integral equations, eliminating the need to discretize the infinite plane and avoiding truncation errors. An improved FDA is developed to expand the kernel functions, enabling efficient matrix-vector product acceleration across a wide range of frequencies. Unlike full-space problems, the translations for half-space problems differ due to the half-space Green’s function. Leveraging the symmetry of the half-space problem, we introduce techniques to reduce the computational cost in fast multipole translations. Specifically, only an additional moment-to-local (M2L) translation for the image part is required, bypassing the computation and storage of other image-related translations. The iterative solver GMRES is used to further accelerate the solution in the proposed FDA-BEM. Numerical examples validate the accuracy of the method and demonstrate its nearly linear computational efficiency in solving large-scale 3-D half-space acoustic problems. Large scale models with the nondimensional wavenumber above 400 and number of elements above 3 million have been solved successfully using the developed method.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106322"},"PeriodicalIF":4.2,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144154777","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}
{"title":"Elastic dental analysis of 3D layered composite structures based on the local RBF collocation method","authors":"Hong Wang , Shi Yan , Hui Zheng , Xiaoying Zhuang","doi":"10.1016/j.enganabound.2025.106301","DOIUrl":"10.1016/j.enganabound.2025.106301","url":null,"abstract":"<div><div>The tooth consists of enamel, dentin, and pulp. The outer surface of the enamel, the interface between dentin and pulp, as well as the interface between enamel and dentin is complicated. To better capture the details of the tooth, Nano Computed Tomography (CT) is used to obtain the detailed images of the tooth, and the CT images are further imported to construct the 3D structure of the tooth. This 3D model provides a precise representation of the tooth's geometry and material properties, and a numerical model is proposed based on the local radial basis function collocation method (LRBFCM), which is suitable for analyzing the complex geometry. The combination of Nano-CT and the LRBFCM offers a powerful tool for analyzing the mechanical behavior of the tooth. The stress distribution and defects of the tooth are fully studied based on the proposed numerical model.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106301"},"PeriodicalIF":4.2,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144154776","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}
{"title":"3D mesh-free modeling of buckling distortions in hollow-section steel columns with openings","authors":"Daud Ali Abdoh","doi":"10.1016/j.enganabound.2025.106309","DOIUrl":"10.1016/j.enganabound.2025.106309","url":null,"abstract":"<div><div>This paper introduces a novel three-dimensional peridynamic model to simulate buckling distortions in hollow-section steel columns (HSSC) with access openings. This research aims to improve the safety and performance of steel structures, particularly in lateral loadings such as those encountered during seismic and wind events. The peridynamic method is employed to model the excessive deformations in steel elements when the combined actions of compression and lateral loadings impact them. The validation of the 3D peridynamic model through rigorous comparisons with experimental measurements enhances the credibility of the proposed model. We provide significant and deep insights into the performance of HSSC through a detailed investigation of the buckling distortional behavior of HSSC with access openings under lateral loadings. The study reveals that a 28.5 % increase in access opening diameter leads to a twofold increase in axial buckling distortions when lateral loading is applied parallel to the opening surface. However, tripling the diameter of the access opening produces an increase in axial buckling distortion about 2.5 times when HSSC is subjected to loading axially and bilaterally. Therefore, the effects of the access opening size are more pronounced when lateral loading is applied parallel to the access opening surface, compared to bilateral loadings. The study also reveals that adding a second access opening to the HSSC reduces the load-bearing capacity and strength more significantly than increasing the diameter of the first access opening.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106309"},"PeriodicalIF":4.2,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144134915","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}
{"title":"A new POD-based Reduced-Order EDM-RIBEM method for multi-domain transient heat transfer problems","authors":"Baoqi Zhang, Siqi Zhang, Wenwei Jiang, Chenhao Tan, Yuntao Zhou, Haifeng Peng, Kai Yang, Xiaowei Gao","doi":"10.1016/j.enganabound.2025.106310","DOIUrl":"10.1016/j.enganabound.2025.106310","url":null,"abstract":"<div><div>We introduce a reduced-order coupling algorithm of Element Differential Method (EDM) and Radial Integration Boundary Element Method (RIBEM) for efficient solution of multi-domain transient heat transfer problems. An important innovation of this method is its incorporation of Proper Orthogonal Decomposition (POD) method. By applying POD for dimensionality reduction of system equations, the iterative coupling process between EDM and RIBEM is significantly accelerated, thus improving overall computational efficiency. The integration of POD method ensures that the reduced-order model captures the essential features of the multi-domain problem while maintaining computational efficiency. The results of numerical examples demonstrate the accuracy and efficiency of the reduced-order coupling method in solving multi-domain transient heat conduction problems.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"178 ","pages":"Article 106310"},"PeriodicalIF":4.2,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138031","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}