{"title":"The radial point interpolation method and mixed-mode energy release rate criterion for crack growth in single lap joints","authors":"D.C. Gonçalves , L.D.C. Ramalho , R.D.S.G. Campilho , J. Belinha","doi":"10.1016/j.enganabound.2024.106095","DOIUrl":"10.1016/j.enganabound.2024.106095","url":null,"abstract":"<div><div>Nowadays, adhesively bonded joints are widely used in high-end industries due to their valuable advantages over traditional joining techniques. Nevertheless, predicting the mechanical behaviour of adhesively bonded joints with accuracy and efficiency still represents a major challenge reducing structure weight, material usage, and computational cost. In this work, a fracture propagation algorithm based on the meshless Radial Point Interpolation Method (RPIM) is extended to adhesively bonded Single Lap Joints (SLJ). Separated stress intensity factors are calculated using the interaction integral, allowing to predict crack initiation considering a mixed-mode energy release rate criterion. The numerical solutions predict with accuracy the experimental data and commercial FEM simulations.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106095"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929256","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 multipole boundary element method for acoustic problems in a non-uniform potential flow","authors":"Xueliang Liu , Haijun Wu","doi":"10.1016/j.enganabound.2024.106091","DOIUrl":"10.1016/j.enganabound.2024.106091","url":null,"abstract":"<div><div>This paper presents a fast multipole boundary element method (FMBEM) for acoustic problems in a non-uniform potential flow. Different from the BEM for acoustic problems in a quiescent medium, the non-uniform flow field has a dramatic effect on the propagation of sound. In the developed algorithm, only the Mach number of the flow field at infinity needs to be given, and both the non-uniform flow field and the sound field around the vibrating model are calculated by using the BEM. First, the FMBEM for the steady non-uniform potential flow is developed. The exponential expansions of the multipole translation and recurrence calculations of the solid harmonic functions are employed to accelerate the computation. The calculated physical quantity of the non-uniform flow can serve as the computational input for the subsequent sound field. Then, the boundary integral formulae for acoustic problems in non-uniform potential flows are derived. The convected Green's function is also derived by using the Taylor-Lorentz transformation and its inverse transformation. The formulae of fast multipole translations are derived in detail. Finally, several numerical experiments are performed to validate the accuracy and efficiency of the algorithm, demonstrating its capability for accurate and fast computation of large-scale sound fields in non-uniform flows.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106091"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929267","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}
Seyed Sadjad Abedi-Shahri, Farzan Ghalichi, Iman Zoljanahi Oskui
{"title":"NL-SBFEM: A pure SBFEM formulation for geometrically and materially nonlinear problems","authors":"Seyed Sadjad Abedi-Shahri, Farzan Ghalichi, Iman Zoljanahi Oskui","doi":"10.1016/j.enganabound.2024.106085","DOIUrl":"10.1016/j.enganabound.2024.106085","url":null,"abstract":"<div><div>In the context of numerical methods for solving partial differential equations, the research presented in this article introduces a pioneering Scaled Boundary Finite Element Method (SBFEM) formulation designed to tackle geometrically and materially nonlinear problems. The novel formulation, named NL-SBFEM, utilizes the deformation gradient and the first Piola–Kirchhoff stress, and is distinguished by its purity as a standalone SBFEM formulation without the need for integration with other numerical methods, thereby preserving all the inherent advantages of SBFEM. This research thoroughly validates the NL-SBFEM, demonstrating its accuracy and reliability when compared to analytical solutions and results obtained using conventional numerical methods. The method accommodates well-established hyperelastic material models while benefits from the ease of integrating new hyperelastic material models within the framework. With its capability to address nonlinear problems, the proposed development can introduce SBFEM as an alternative to FEM in the field of computational biomechanics.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106085"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929268","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}
Wenzhi Xu , Zhuojia Fu , Qiang Xi , Qingguo Liu , Božidar Šarler
{"title":"A novel spatial-temporal collocation solver for long-time transient diffusion with time-varying source terms","authors":"Wenzhi Xu , Zhuojia Fu , Qiang Xi , Qingguo Liu , Božidar Šarler","doi":"10.1016/j.enganabound.2024.106060","DOIUrl":"10.1016/j.enganabound.2024.106060","url":null,"abstract":"<div><div>In this paper, a novel spatial-temporal collocation solver is proposed for the solution of 2D and 3D long-time diffusion problems with source terms varying over time. In the present collocation solver, a series of semi-analytical spatial-temporal fundamental solutions are used to approximate the solutions of the time-dependent diffusion equations with only the node discretization of the initial and boundary conditions. This approach avoids the numerical inverse Laplace/Fourier transformations or the selection of the time-step size in the traditional time discretization methods (Laplace/Fourier transformations and time-stepping scheme, etc.). To treat with the time-varying source terms, an extension of the multiple reciprocity method from the spatial domain to the spatial-temporal domain is achieved, which converts the nonhomogeneous governing equation into a high-order partial differential equation via a series of differential operators without the need for additional discretization in the spatial-temporal domain. Several numerical examples validate the feasibility, efficiency and accuracy of the proposed solver.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106060"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142793485","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":"Dual-branch neural operator for enhanced out-of-distribution generalization","authors":"Jiacheng Li, Min Yang","doi":"10.1016/j.enganabound.2024.106082","DOIUrl":"10.1016/j.enganabound.2024.106082","url":null,"abstract":"<div><div>Neural operators, which learn mappings between function spaces, offer an efficient alternative for solving partial differential equations. However, their generalization to out-of-distribution (OOD) parameters often falls short, with accuracy rapidly decreasing outside the training domain. To tackle this issue, we propose a dual-branch neural operator architecture. In this setup, the in-distribution branch performs supervised learning from training data and transfers its learned knowledge to the OOD branch. The OOD branch then uses pseudo-solutions provided by the in-distribution branch to enhance the generalization capability of the neural operator. To ensure the OOD branch prioritizes more reliable information, we introduce a weighting method to control the contributions of different pseudo-solutions. Experimental results show that our method can improve OOD accuracy of neural operators while maintaining in-distribution prediction performance with a few or even no additional OOD observations. The code is publicly available at <span><span>https://github.com/JcLimath/DB-NO</span><svg><path></path></svg></span>.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106082"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142901666","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}
Zhonghan Liu , Zhenning Ba , Jingxuan Zhao , Jiaqi Niu
{"title":"Numerical analysis of basin response using Indirect Boundary Element Method (IBEM) for dip-slip sources","authors":"Zhonghan Liu , Zhenning Ba , Jingxuan Zhao , Jiaqi Niu","doi":"10.1016/j.enganabound.2024.106081","DOIUrl":"10.1016/j.enganabound.2024.106081","url":null,"abstract":"<div><div>Accurate modeling of basin structures and quantitative analysis of basin amplification effects are critical for seismologists and engineers. The Indirect Boundary Element Method (IBEM), developed from the Boundary Element Method (BEM), is particularly well-suited for these tasks due to its capability to manage layers with lateral inhomogeneities. However, current IBEM studies mostly focus on wavefields generated by plane wave incidence or point sources emitting pure spherical P or S waves, which often fail to capture the complex behavior of real seismic events. To address this limitation, we propose an updated IBEM scheme that simulates wavefields from dip-slip sources using the displacement-stress discontinuity vector. We validate this updated IBEM through degenerated models and sources, confirming its robustness in handling dip-slip sources. Further numerical tests reveal several features of basin amplification effects from dip-slip sources: (1) Sources with varying dips cause substantial differences in-basin peak numbers and amplitudes compared to simplified sources. For the surface responses, the ratio of maximum amplitudes (in-basin to out-of-basin) can exceed 10 with asymmetric distributed peaks. (2) The basin amplification effect for dip-slip sources shows similar frequency and velocity contrast dependencies compared to other simplified sources. Our study shows the IBEM scheme is effective and advantageous in basin amplification effect analysis, especially for different source configurations under the same model, with great potential for further applications for seismology, earthquake engineering, and hazard control.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106081"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142825005","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}
Peiwen Wu , Weidong Chen , Shengzhuo Lu , Jingxin Ma , Mingwu Sun , Bo Sun , Shibo Wu
{"title":"An element mapping material point method for tracking interfaces in transient nonlinear heat conduction with sources","authors":"Peiwen Wu , Weidong Chen , Shengzhuo Lu , Jingxin Ma , Mingwu Sun , Bo Sun , Shibo Wu","doi":"10.1016/j.enganabound.2024.106106","DOIUrl":"10.1016/j.enganabound.2024.106106","url":null,"abstract":"<div><div>The Generalized Interpolation Material Point method (GIMP), based on both material-point discretization and Eulerian space meshing, which is appropriate for nonlinear problems. However, it is difficult to identify physical boundaries and material interfaces, leading to numerical oscillations in the thermal analysis. Therefore, an Element Mapping Material Point method (EMMP) is proposed to handle with the deficiency. EMMP redesigns a particle-element mapping algorithm for transmitting the information through physical and numerical fields, deduces an efficient solution scheme for the control equation system, proposes an approach for identifying boundary and interface, as well as a method for marking elements with the information of loads and constraints. There are four numerical examples of heat conduction under various scenarios, validating the thermal analysis performance of EMMP. The results indicate that EMMP is capable of solving transient nonlinear heat conduction problems with high boundary resolution and numerical stability, effectively avoiding temperature oscillations throughout the field. It is observed that EMMP is approximately 36% and 68% more efficient than the Finite Element method (FEM) and GIMP, respectively. Additionally, EMMP maintains relative errors within the order of 10<sup>−5</sup> compared to analytical solutions. It is also verified that EMMP is proficient in simulating the phase transition and ignition processes of the energetic material, HMX, subjected to the thermal contact load.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106106"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929254","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":"Linear energy-stable Runge–Kutta relaxation schemes for the Bi-flux diffusion model","authors":"Jiayue Xu , Cong Xie , Maosheng Jiang","doi":"10.1016/j.enganabound.2024.106087","DOIUrl":"10.1016/j.enganabound.2024.106087","url":null,"abstract":"<div><div>This paper conducts an in-depth study of nonlinear Bi-flux diffusion models with one energy stable linear relaxation with regularized energy reformulation numerical scheme. This novel scheme combines the single diagonal implicit Runge–Kutta method (SDIRK) in temporal dimension and a meshless generalized finite difference method (GFDM) in spatial dimension. Thus in terms of spatial discretization high quality grids are not required and in terms of time discretization large time step is potential compared with the existing methods. The rigorous proof of the unconditional energy stable property for the scheme is presented. According to different values of the coefficient in nonlinear Bi-flux model, it could degenerate to Allen–Cahn equation, Fisher–Kolmogorov equation and extended Fisher–Kolmogorov model. The accuracy and the effectiveness of the proposed scheme are presented. Moreover, a large number of evolution processes for the nonlinear Bi-flux model under different regimes are demonstrated.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106087"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929258","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}
Guosheng Wang , Wenwen He , Dechun Lu , Zhiqiang Song , Xiuli Du
{"title":"A peridynamic method for creep and stress relaxation incorporating a novel fractional viscoelastic model","authors":"Guosheng Wang , Wenwen He , Dechun Lu , Zhiqiang Song , Xiuli Du","doi":"10.1016/j.enganabound.2024.106104","DOIUrl":"10.1016/j.enganabound.2024.106104","url":null,"abstract":"<div><div>A fractional viscoelastic kernel function is proposed to describe the modulus evolution during the creep and stress relaxation behavior of quasi-brittle materials. A unified fractional viscoelastic model for creep and stress relaxation is further developed, which has the advantages of few parameters and high accuracy. The model can be degenerated into the basic viscoelastic models under different values of fractional order. The relationship between the force state in non-ordinary state-based peridynamics and the stress tensor in the continuum mechanics constitutive model is established. The developed fractional viscoelastic model is then integrated into the peridynamic framework to create a unified creep and stress relaxation peridynamic method. The calibration method of the model parameters is also determined through the equivalence of the peridynamics and the continuum mechanics, and the influence rules of parameters on the viscoelastic behavior of materials are discussed. The effectiveness of the proposed peridynamic method is verified by numerical simulations of a plate, bar, slate, and beam. The proposed method can accurately describe the deformation process from continuous to discontinuous in creep and stress relaxation. This study provides a valuable numerical tool for simulating structural damage caused by creep and stress relaxation in engineering structures during long-term operation.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106104"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929261","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":"Electromagnetic-thermal coupling simulation in high temperature superconducting bulk by peridynamic differential operator","authors":"Shouhong Shan , Huadong Yong , Youhe Zhou","doi":"10.1016/j.enganabound.2024.106097","DOIUrl":"10.1016/j.enganabound.2024.106097","url":null,"abstract":"<div><div>The high temperature superconducting (HTS) bulk can operate in the liquid nitrogen temperature. A useful model describing superconductivity for engineering applications links electric field and current density, namely as E-J power law. Since the exponent of the E-J power law is usually set as 20∼50, the distribution of current density changes dramatically between the penetrated and unpenetrated regions, which brings a challenge to the numerical accuracy and convergence of the calculation. Furthermore, in order to simulate the heat transfer behavior between HTS bulk and its ambient environment during operation, the nonlinear flux boundary condition of temperature is employed. The peridynamic differential operator (PDDO) is a powerful tool to solve the mathematical model with PDEs. Utilizing the theory of the PDDO, the spatial partial derivative in the PDEs is converted into a corresponding non-local form. To verify our model, a comparison between the numerical results solved by the PDDO and finite element method is carried out. Finally, the effects of the global and local non-uniformity of critical current and thermal perturbation on the electromagnetic and thermal behaviors of the HTS bulk in the multi-pulsed field magnetization process are simulated.</div></div>","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"171 ","pages":"Article 106097"},"PeriodicalIF":4.2,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929265","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}