Alexandre Tachibana dos Santos, José Antonio Marques Carrer
{"title":"Integrating GA-BEM and polynomial fitting for efficient structural shape optimization","authors":"Alexandre Tachibana dos Santos, José Antonio Marques Carrer","doi":"10.1016/j.enganabound.2024.106105","DOIUrl":"https://doi.org/10.1016/j.enganabound.2024.106105","url":null,"abstract":"This paper presents a novel simplified approach to achieving smooth boundaries on structural shape optimizations when combining Genetic Algorithms (GA) with the Boundary Element Method (BEM) by applying a simple polynomial fitting technique for boundary smoothing. The methodology focuses on the challenges of reducing material usage while maintaining constructability. The integration of polynomial fitting for boundary smoothing mitigates the complexity often resulting from GA-based optimizations, while keeping the complexity of implementation low when compared to other boundary smoothing techniques. Case studies are used to demonstrate the effectiveness of this approach in reducing material usage while following stress and displacement constraints. Comparative analysis with existing methods, such as Isogeometric Analysis-BEM with Particle Swarm Optimization, highlights the efficiency and implementation simplicity of the proposed technique. The results show significant improvements in structural performance and material reduction, demonstrating that the method can be used as a valid tool for structural shape optimization.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"27 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929255","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}
D.C. Gonçalves, L.D.C. Ramalho, R.D.S.G. Campilho, J. Belinha
{"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":"https://doi.org/10.1016/j.enganabound.2024.106095","url":null,"abstract":"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.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"5 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2025-01-03","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":"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":"https://doi.org/10.1016/j.enganabound.2024.106106","url":null,"abstract":"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<ce:sup loc=\"post\">−5</ce: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.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"6 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2025-01-03","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":"https://doi.org/10.1016/j.enganabound.2024.106087","url":null,"abstract":"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.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"42 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2025-01-01","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}
{"title":"Third-order MFS for solving two-dimensional Stokes flow problems","authors":"Chein-Shan Liu, Chia-Ming Fan, Chung-Lun Kuo","doi":"10.1016/j.enganabound.2024.106092","DOIUrl":"https://doi.org/10.1016/j.enganabound.2024.106092","url":null,"abstract":"When the two-dimensional (2D) Stokes equations are formulated as two-coupled third-order partial differential equations, we prove two types particular solutions and develop the corresponding meshless third-order method of fundamental solutions (MFS) to solve the Stokes flow problems. The second MFS with more comprehensive bases is more accurate than the first MFS. Some examples are examined to exhibit the performance of the proposed two novel third-order methods of fundamental solutions.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"82 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929257","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":"BIOEFGM II: Two-dimensional meshless model to simulate the aerobic and anaerobic biodegradation of BTEX contaminant through multiple electron acceptors in groundwater","authors":"Tinesh Pathania","doi":"10.1016/j.enganabound.2024.106089","DOIUrl":"https://doi.org/10.1016/j.enganabound.2024.106089","url":null,"abstract":"In the present study, a meshless BIOEFGM II model is proposed to simulate the natural attenuation of BTEX contaminant (benzene, toluene, ethylbenzene, and xylenes) through multiple aerobic and anaerobic electron acceptors in the two-dimensional groundwater system. This model is the extension of the BIOEFGM I model for aerobic BTEX degradation. In BIOEFGM II, the meshless element-free Galerkin method (EFGM) is applied to governing groundwater flow and reactive transport equations. The weak-integral form of EFGM is also applied to the Darcy law equation to compute the groundwater velocity directly at scattered field nodes representing the aquifer domain. This step allows the easy coupling of flow and transport models with both regular and irregular nodes in BIOEFGM II, unlike grid/mesh-based models. The proposed model is the first multispecies model that can simulate natural BTEX degradation using regular/irregular field nodes. In this study, proposed BIOEFGM II-RG and BIOEFGM II-IRG for regular and irregular nodes respectively are applied to a hypothetical aquifer and field-type large heterogeneous aquifer, and results are verified with the benchmark RT3D model. The results of this study reveal that aerobic and anaerobic processes contribute to 30%–40% and 60%–70% of the total BTEX degradation respectively.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"48 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929260","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}
YaoDi Li, Mei Huang, Boxue Wang, Xiangyuan Meng, YanTing Cheng
{"title":"A new procedure for solving the transport of corrosion products in liquid lead bismuth eutectic loop","authors":"YaoDi Li, Mei Huang, Boxue Wang, Xiangyuan Meng, YanTing Cheng","doi":"10.1016/j.enganabound.2024.106107","DOIUrl":"https://doi.org/10.1016/j.enganabound.2024.106107","url":null,"abstract":"This article presents an extension of the Half Boundary Method (HBM) for solving two-dimensional mass transfer problems in a lead-bismuth eutectic (LBE) loop. We propose a procedure that integrates the Finite Volume Method (FVM) with the HBM coupling algorithm to address flow and mass transfer issues. The FVM is used to solve the velocity field, while a small number of nodes are selected within the solution domain to apply HBM for solving the concentration field. By reducing the number of grids required by HBM, the maximum order of the matrix is also reduced, leading to savings in computational storage and improved efficiency. The proposed procedure is applied to solve the transport problem of corrosion products (Fe) in the hot pipe section of the UPBEAT circuit. By comparing different flow and oxygen control conditions, we find that the corrosion rate increases with velocity. Under oxygen control, the concentration of corrosion products is only 0.5 % of that under anaerobic conditions, and the corrosion rate is reduced to only 0.19 %. These findings significantly reduce the corrosion rate, making long-term pipeline use feasible.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"27 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2024-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929266","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}
Limei Zhang, Yueping Yin, Hong Zheng, Sainan Zhu, Nan Zhang
{"title":"Singularity treatments in transient confined seepage using numerical manifold method","authors":"Limei Zhang, Yueping Yin, Hong Zheng, Sainan Zhu, Nan Zhang","doi":"10.1016/j.enganabound.2024.106100","DOIUrl":"https://doi.org/10.1016/j.enganabound.2024.106100","url":null,"abstract":"The numerical manifold method (NMM) is proposed for analysis of the two-dimensional transient confined seepage flow problems with singular corner points. To deal with the singularity of corner points, the asymptotic expansion of the solution in the vicinity of corner points is incorporated into the local approximations of the relevant physical patches of the NMM, while the constant local approximation is assigned to the other patches far from the singularity points. Then, the NMM discrete formulation for the initial – boundary value problem for transient seepage flow is deduced based on the Galerkin approximation. For time integration, the backward time integration scheme is adopted. The accuracy and effectiveness of the proposed method are demonstrated in typical examples involving homogeneous, heterogeneous, and anisotropic material. Comparing with constant local approximations to all the patches, the proposed method can better reflect the strong singularity of corner points.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"3 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2024-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142929263","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":"https://doi.org/10.1016/j.enganabound.2024.106091","url":null,"abstract":"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.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"5 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2024-12-30","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":"https://doi.org/10.1016/j.enganabound.2024.106085","url":null,"abstract":"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.","PeriodicalId":51039,"journal":{"name":"Engineering Analysis with Boundary Elements","volume":"23 1","pages":""},"PeriodicalIF":3.3,"publicationDate":"2024-12-30","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}