Engineering Analysis with Boundary Elements最新文献

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Structural ice breaking and water entry simulation based on EFEM-IBM-PD model 基于EFEM-IBM-PD模型的结构破冰入水模拟

IF 3.3 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-02-04 DOI: 10.1016/j.enganabound.2026.106676

Ming He, Wenzhi Cui, Xinran Li, Yexian Wang

引用次数: 0

A fourth-order RBF-FD scheme based on integral representations of the multiquadric for high-dimensional Black–Scholes PDEs 高维Black-Scholes偏微分方程基于多重曲面积分表示的四阶RBF-FD格式

IF 3.3 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-02-04 DOI: 10.1016/j.enganabound.2026.106673

Yanlai Song

引用次数: 0

Seismic patterns in two-dimensional multilayer sediments using a hybrid boundary-finite element approach 基于边界-有限元混合方法的二维多层沉积物地震模式

IF 3.3 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-02-03 DOI: 10.1016/j.enganabound.2026.106671

Bahman Ansari, Alireza Firoozfar, Bahram Ansari

引用次数: 0

Numerical algorithm of concave polygon elements in solid mechanics: Theoretical analysis and performance evaluation of S-FEM and VEM 固体力学中凹多边形单元的数值计算：S-FEM和VEM的理论分析与性能评价

IF 3.3 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-02-03 DOI: 10.1016/j.enganabound.2025.106617

Shao-Wei Wu, Jun-Xiong Hu, Yu-Hang Ning, Zhang-Xing Xie, Kai Liu, Qi-Qi Li, Xin Liu

引用次数: 0

Modeling of rock failure based on a modified particle discontinuous deformation analysis 基于改进颗粒不连续变形分析的岩石破坏模型

IF 3.3 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-02-03 DOI: 10.1016/j.enganabound.2026.106666

Zongxin Jiang, Laping He, Zhao Long, Baoping Wang, Zhengxu Chen, Feng Liu

引用次数: 0

Electrochemical-mechanical analysis of ionic polymer gels based on the boundary element method 基于边界元法的离子聚合物凝胶电化学-力学分析

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-01-30 DOI: 10.1016/j.enganabound.2026.106656

Jingwen Liu , Changzheng Cheng , Yifan Huang , Feiyang Wang

Ionic polymer gels are employed in a number of electrochemical devices due to their exceptional electrical conductivity and electrochemical stability. These polymer gels serve in a complex working condition involving the interaction of multi-physical fields. In order to investigate the mechanical behavior of these materials in electrochemical field and enhance the computational efficiency of the numerical method under the complex boundary conditions, the boundary integral equations and internal stress integral equations are established in this paper to describe steady-state ionic polymer gels deformation state in the presence of an electric field. The boundary element method is used to solve for diffusion-induced stresses under the influence of concentration, while the radial integration method is used to deal with the domain integrals of the boundary integral equations containing the ion concentration field. The efficacy of the proposed method is substantiated through the deformation results of ionic polymer gels subjected to a steady-state electrochemical field. Furthermore, the boundary integral equations for multiple domains under diffusion effects are formulated on the basis of the multidomain boundary element method. The effect of steady-state diffusion-induced stresses to the ionic polymer gels and the current collector is studied. Additionally, the impact of diffusion-induced stresses to the current collectors and polymer gels is evaluated for varying current collector elastic moduli and widths.

离子聚合物凝胶由于其优异的导电性和电化学稳定性而被应用于许多电化学装置中。这些聚合物凝胶在涉及多物理场相互作用的复杂工作条件下服务。为了研究这些材料在电化学场中的力学行为，提高数值方法在复杂边界条件下的计算效率，本文建立了边界积分方程和内应力积分方程来描述稳态离子聚合物凝胶在电场作用下的变形状态。采用边界元法求解浓度影响下的扩散诱发应力，采用径向积分法求解含有离子浓度场的边界积分方程的域积分。离子聚合物凝胶在稳态电化学场作用下的变形结果证实了该方法的有效性。在此基础上，利用多域边界元法推导了扩散作用下多域边界积分方程。研究了稳态扩散诱导应力对离子聚合物凝胶和集流器的影响。此外，扩散引起的应力对电流集热器和聚合物凝胶的影响评估了不同的电流集热器弹性模量和宽度。

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引用次数: 0

A variationally consistent meshfree Galerkin formulation for three-dimensional strain gradient elasticity 三维应变梯度弹性的变一致无网格伽辽金公式

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-01-30 DOI: 10.1016/j.enganabound.2026.106659

JingYan Li , MingHao Zhao , Chunsheng Lu , JianWei Zhang , Yue Mei , BingBing Wang

In this paper, we develop a variationally consistent meshfree Galerkin formulation for three-dimensional strain gradient elasticity. A generalized five-variable variational principle is employed to derive an orthogonality condition, which forms the basis for a novel consistent integration scheme using tetrahedral background cells. This scheme incorporates first- and second-order smoothed nodal gradients and satisfies the discretized orthogonality condition, thereby ensuring full variational consistency. Numerical examples demonstrate that the proposed integration strategy achieves substantially higher accuracy and computational efficiency than conventional Gaussian quadrature, while effectively suppressing spurious numerical oscillations. Compared with simplified two-dimensional cases, the variationally consistent integration method is particularly suited for practical micro- and nano-scale device analysis and design.

本文建立了三维应变梯度弹性的变一致无网格伽辽金公式。利用广义的五变量变分原理推导出正交性条件，为四面体背景单元的一致性积分方案奠定了基础。该方案结合了一阶和二阶平滑节点梯度，满足离散正交性条件，从而保证了完全变分一致性。数值算例表明，所提出的积分策略比传统的高斯正交具有更高的精度和计算效率，同时有效地抑制了伪数值振荡。与简化的二维情况相比，变分一致积分法特别适合实际的微纳器件分析与设计。

引用次数: 0

Steady-state unconfined seepage in heterogeneous medium using an adaptive multi-patch isogeometric analysis 非均质介质中稳态无侧限渗流的自适应多块等几何分析

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-01-30 DOI: 10.1016/j.enganabound.2026.106658

Chen Wu , Lin Wang , Sundararajan Natarajan , Weihua Fang , Tiantang Yu

For seepage problems with free surfaces, traditional approaches use either moving mesh strategies or fixed mesh strategies. Both these approaches have inherent challenges, on one hand, the moving mesh methods often encounter computational instability caused by mesh distortion, whereas the fixed mesh methods face challenges in balancing computational accuracy and efficiency. To overcome these limitations, this paper presents a two-dimensional steady-state unconfined seepage framework based on adaptive multi-patch isogeometric analysis, designed to enable efficient, stable, and precise numerical simulations. The proposed framework incorporates a Zienkiewicz–Zhu error estimator to drive local mesh refinement, and utilizes truncated hierarchical non-uniform rational B-splines (TH-NURBS) for accurate modeling and localized adaptive refinement. The multi-patch technique, integrated with Nitsche’s method, is adopted for the simulation of complex geometries. Validation with several numerical examples shows that the framework provides favorable computational accuracy and efficiency, highlighting its potential for application in complex engineering problems.

对于自由表面的渗流问题，传统的方法要么采用移动网格策略，要么采用固定网格策略。这两种方法都存在固有的挑战，一方面，运动网格法经常遇到网格畸变引起的计算不稳定，而固定网格法则面临计算精度和效率平衡的挑战。为了克服这些限制，本文提出了一个基于自适应多补丁等几何分析的二维稳态无侧限渗流框架，旨在实现高效、稳定和精确的数值模拟。该框架采用Zienkiewicz-Zhu误差估计器驱动局部网格细化，并利用截断的分层非均匀有理b样条（TH-NURBS）进行精确建模和局部自适应细化。采用多贴片技术，结合Nitsche方法，对复杂几何图形进行模拟。数值算例验证表明，该框架具有良好的计算精度和效率，在复杂工程问题中具有应用潜力。

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引用次数: 0

A meshless Schwarz-MFS framework for identifying time-dependent thermal contact conductance in layered materials 一种无网格Schwarz-MFS框架用于识别层状材料中随时间变化的热接触电导

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-01-29 DOI: 10.1016/j.enganabound.2026.106649

Igor Falcão Tosi , Luiz Alberto da Silva Abreu , Julio Cesar Sampaio Dutra , Wellington Betencurte da Silva

This paper investigates the Method of Fundamental Solutions (MFS) for solving transient heat conduction problems in layered materials, in conjunction with the domain decomposition method. The study specifically examines the impact of Schwarz iterative algorithms by testing both overlapping and non-overlapping configurations between subdomains. In contrast to previous approaches where fictitious sources were placed outside the spatial domain in a circular arrangement, the present work arranges these sources in a rectangular configuration for each domain, introducing small additional distances at the boundaries to minimize singular values. The analysis addresses the stability of the method with respect to key parameters such as the number of collocation points, the distance between domains, the regularization parameter, and various error metrics. Numerical results are compared with reference solutions obtained using COMSOL, and the calculated errors demonstrate the excellent viability and robustness of the meshless method when combined with domain decomposition and Schwarz iteration schemes for solving multilayer transient heat conduction problems.

本文研究了层状材料瞬态热传导问题的基本解方法（MFS）与区域分解方法的结合。该研究通过测试子域之间的重叠和非重叠配置，具体检查了Schwarz迭代算法的影响。与之前将虚拟光源以圆形排列放置在空间域外的方法相反，本研究将这些光源以矩形配置排列在每个域，在边界处引入小的额外距离以最小化奇异值。分析了该方法在关键参数方面的稳定性，如配点数、域间距离、正则化参数和各种误差指标。数值结果与COMSOL参考解进行了比较，计算误差证明了无网格方法结合区域分解和Schwarz迭代方法求解多层瞬态热传导问题的可行性和鲁棒性。

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引用次数: 0

Long-time dynamic analysis of damped wave propagation using a time-spectral BEM with discontinuous triangular elements 用带有不连续三角单元的时谱边界元分析阻尼波传播的长时间动力

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-01-28 DOI: 10.1016/j.enganabound.2026.106657

Wenzhen Qu , Yan Gu , Bo Yu

In this work, a time-spectral boundary element method (TSBEM) with discontinuous triangular elements is proposed for long-time dynamic analysis of damped wave propagation in two dimension. Within this framework, the first- and second-order time derivatives of displacement in the governing equations are treated as nonhomogeneous terms and incorporated into the kernel functions of the domain integrals in the boundary integral equation using Green’s second identity. These time derivatives are approximated as weighted linear combinations of displacements values at Gaussian nodes within each temporal interval, following an inverse spectral integration technique. To evaluate domain integrals whose kernels involve unknown or non-functional physical quantities, discontinuous quadratic triangular elements are introduced to accurately approximate these quantities. Consequently, the developed approach accommodates large time steps while maintaining stability in long-time dynamic simulations. Notably, the coefficient matrix generated in the TSBEM is independent of the time variable, meaning it only needs to be computed once throughout the entire time marching process. To validate the accuracy and computational efficiency of the proposed approach, several numerical experiments are conducted. The numerical results obtained using the TSBEM are compared with those from traditional approaches.

本文提出了一种具有不连续三角单元的时谱边界元方法，用于二维阻尼波传播的长时间动力学分析。在此框架内，控制方程中的一阶和二阶位移时间导数被视为非齐次项，并使用格林二阶恒等式将其纳入边界积分方程中域积分的核函数中。这些时间导数近似为每个时间间隔内高斯节点位移值的加权线性组合，遵循逆光谱积分技术。为了计算核包含未知或非泛函物理量的域积分，引入了不连续二次三角元来精确逼近这些物理量。因此，所开发的方法可以适应大的时间步长，同时保持长时间动态模拟的稳定性。值得注意的是，TSBEM中生成的系数矩阵与时间变量无关，这意味着在整个时间推进过程中只需要计算一次。为了验证该方法的精度和计算效率，进行了数值实验。并与传统方法的数值结果进行了比较。

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