Engineering Analysis with Boundary Elements最新文献

Efficient forward and inverse approaches for guided-wave scattering 导波散射的有效正、逆方法

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-05-01 Epub Date: 2026-02-11 DOI: 10.1016/j.enganabound.2026.106680

Chen Yang

The growing integration of artificial intelligence (AI) in ultrasonic guided-wave nondestructive testing (NDT) necessitates large-scale, high-fidelity simulation data for training scattering databases. To address this need, this paper proposed efficient and accurate forward and inverse approaches tailored for guided-wave applications. For forward analysis, a modified boundary element method (BEM) is developed, which incorporates far-field displacement patterns to effectively eliminate spurious reflections caused by model truncation compared to traditional BEM. This forward method preserves the dimension reduction advantage of conventional BEM and requires no absorbing layers, and accuracy rate reaches 100% nearly compared with theoretical Green’s functions. For inverse analysis, a linear reconstruction method based on Born approximation was proposed, which can directly reconstruct the specific shape of defects. Moreover, this inverse method does not need iteration, is both simple in formulation and straightforward to implement, and the accuracy rate of defect width and depth reconstruction can reach 100% by multi-incidence direction reconstruction. The validity and effectiveness of both proposed methods are rigorously demonstrated through multiple benchmark numerical simulations.

人工智能（AI）在超声导波无损检测（NDT）中的日益融合，需要大规模、高保真的仿真数据来训练散射数据库。为了满足这一需求，本文提出了针对导波应用的高效、精确的正演和反演方法。在正演分析方面，提出了一种改进的边界元法（BEM），与传统边界元法相比，该方法引入了远场位移模式，有效地消除了模型截断引起的杂散反射。该方法保留了传统边界元法的降维优势，且不需要吸收层，与理论格林函数相比准确率接近100%。在逆向分析方面，提出了一种基于玻恩近似的线性重构方法，可以直接重构缺陷的具体形状。该逆方法不需要迭代，公式简单，易于实现，通过多入射方向重构，缺陷宽度和深度重构准确率可达100%。通过多个基准数值模拟，验证了两种方法的正确性和有效性。

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引用次数: 0

An efficient SBFE formulation for 2D consolidation analysis of saturated soils based on average strain–pressure approach 基于平均应变-压力法的饱和土二维固结分析的有效单轴有限元公式

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-05-01 Epub Date: 2026-02-13 DOI: 10.1016/j.enganabound.2026.106686

Wenjun Ji , Yunxuan Cui , Chongmin Song , Qianhui Liu , Yuzhen Yu

This study presents an efficient average strain–pressure (

u

–

p

) polygonal element formulation for the analysis of saturated porous media. Within the framework of the scaled boundary finite element method (SBFEM), the Laplace equation is employed to construct the interpolation functions of polygonal elements, which are applied to both the displacement and pore-pressure fields in Biot’s theory. For the solid phase, an average strain scheme is adopted within each polygonal element, which significantly reduces the computational cost of constitutive integration. For the fluid phase, an average pressure scheme combined with a stabilization technique is developed to enhance the stability and accuracy of the coupled solid–fluid solution. The proposed formulation achieves over 85% improvement in the efficiency of constitutive integration and a 40% overall reduction in computational cost compared with conventional SBFEM formulations, making it a robust and cost-effective numerical tool for two-dimensional consolidation analysis of saturated soils within the SBFEM framework, capable of modeling complex geometries and construction sequences using quadtree meshes.

本文提出了一种适用于饱和多孔介质分析的有效平均应变-压力（u-p）多边形单元公式。在尺度边界有限元法（SBFEM）的框架内，利用拉普拉斯方程构造多边形单元的插值函数，并将其应用于Biot理论中的位移场和孔压场。对于固相，在每个多边形单元内采用平均应变格式，大大降低了本构积分的计算成本。对于流体相，提出了一种结合稳定技术的平均压力方案，以提高固-液耦合溶液的稳定性和精度。与传统的SBFEM公式相比，该公式的本构积分效率提高了85%以上，总体计算成本降低了40%，使其成为SBFEM框架内饱和土二维固结分析的强大且经济的数值工具，能够使用四叉树网格模拟复杂的几何形状和施工序列。

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引用次数: 0

A unified seismic performance prediction model for large-scale nuclear power plants incorporating high-order doubly asymptotic transmitting boundaries 含高阶双渐近传输边界的大型核电站统一地震性能预测模型

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-05-01 Epub Date: 2026-02-14 DOI: 10.1016/j.enganabound.2026.106652

Jianbo Li , Yu Liu , Jianzhi Cui , Zhiyuan Li , Gao Lin

Evaluating the seismic performance of nuclear structures requires careful consideration of soil-structure interaction (SSI). The high-order doubly asymptotic transmitting boundary (DATB) has demonstrated significant potential to accurately and efficiently simulate the propagation of vector waves in layered soils. This study applies this boundary model to SSI analysis in large-scale nuclear power plants (NPPs) situated in non-rocky soils. Firstly, an integrated finite element method-scaled boundary finite element method was established for seismic SSI analysis by combining the high-order DATB with generalised structures. Additionally, a comprehensive computational program was developed for the proposed model, utilising domain decomposition and parallel computing techniques to solve large-scale numerical problems efficiently. The accuracy and efficiency of this program were rigorously verified. Finally, the engineering applicability of the proposed method was evaluated through a large-scale nuclear power engineering case. The findings confirm that the proposed method achieves a favourable balance between accuracy and efficiency while demonstrating strong engineering applicability. The suggested program enables high-precision assessment of the seismic performance of large-scale NPPs compared to conventional techniques.

评价核结构的抗震性能需要认真考虑土-结构相互作用（SSI）。高阶双渐近传输边界（DATB）在准确有效地模拟矢量波在层状土壤中的传播方面具有重要的潜力。本研究将此边界模型应用于非岩质土中大型核电厂的SSI分析。首先，将高阶DATB与广义结构相结合，建立了用于地震SSI分析的集成有限元方法-尺度边界有限元方法；此外，为该模型开发了一个综合计算程序，利用区域分解和并行计算技术有效地求解大规模数值问题。该程序的准确性和效率得到了严格的验证。最后，通过大型核电工程实例对所提方法的工程适用性进行了评价。研究结果证实，该方法在精度和效率之间取得了良好的平衡，同时具有较强的工程适用性。与传统技术相比，建议的方案能够对大型核电站的抗震性能进行高精度评估。

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引用次数: 0

Nonlinear bending of sandwich beams composed of FG-GPLRC faces and FG-TPMS core: Effect of initial deformation due to temperature rise FG-GPLRC面- FG-TPMS芯夹层梁非线性弯曲：温升初始变形的影响

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-05-01 Epub Date: 2026-02-09 DOI: 10.1016/j.enganabound.2026.106667

Nuttawit Wattanasakulpong , Arisara Chaikittiratana

This study presents a new procedure and assumption for predicting the thermal bending behavior of a novel class of sandwich beams under various distributed loads. The sandwich beams are made of functionally graded graphene platelet reinforced composites at their faces and functionally graded triply periodic minimal surface materials at their core layer. The modified formulations are also provided to estimate the material properties of such advanced composites in each layer. The potential and practical applications of this study involve the construction of sandwich structures with advanced composite materials for enhancing lightweight and stiffness properties, designing beam-like nanocomposite structures in thermal environments where the temperature exceeds the critical buckling temperature, taking into account the effects of thermal initial deformation and geometrically nonlinear strain in the structural design of beams under various kinds of distributed loads. The governing equations for such a problem are formulated using the higher-order shear deformation theory with the von Kármán nonlinear strain component, and they can be solved numerically using a newly developed computational procedure. Based on our analysis, we observe that when straight beams are curved due to initial thermal deflection, their performance in resisting deformation improves in accordance with characteristics of curved beams. Consequently, beams subjected to mechanical loads in a high temperature environment exhibit less deflection than those in an ambient environment.

本文提出了一种预测新型夹层梁在不同分布荷载作用下热弯曲性能的新方法和新假设。夹层梁在其表面由功能梯度石墨烯血小板增强复合材料制成，在其核心层由功能梯度三周期最小表面材料制成。还提供了改进的配方，以估计每层中这种高级复合材料的材料性能。本研究的潜在和实际应用包括利用先进复合材料构建夹层结构以提高轻质和刚度性能，在温度超过临界屈曲温度的热环境中设计类梁纳米复合材料结构，在各种分布荷载作用下的梁结构设计中考虑热初始变形和几何非线性应变的影响。该问题的控制方程采用von Kármán非线性应变分量的高阶剪切变形理论，并可采用一种新开发的计算程序进行数值求解。通过分析发现，当直梁由于初始热挠曲而弯曲时，其抗变形性能与弯曲梁的特性一致。因此，梁受到机械载荷在高温环境表现出较小的挠度比那些在环境环境。

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引用次数: 0

Periodicity thresholds and optimal control in a negative chemotaxis system with cell death 细胞死亡负趋化系统的周期阈值和最优控制

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-05-01 Epub Date: 2026-02-14 DOI: 10.1016/j.enganabound.2026.106688

Federico Herrero-Hervás , Mihaela Negreanu , Antonio M. Vargas

We numerically investigate a nonlinear system of parabolic partial differential equations modeling the negative chemotaxis interactions between a biological species and a lethal chemical substance that is externally supplied. The work extends the knowledge regarding the solutions to an ODE system to which the solutions of the original PDE model converge, as well as the regime of this convergence beyond the existing analytical results.

In particular, for a periodic supply of the substance, a threshold value for the periodicity of the solutions to the ODE system is determined through systematic numerical experiments. Under the obtained conditions – weaker than the current analytical characterization – the convergence and eventual periodicity of the solutions to the PDE model is verified by meshless numerical simulations using the Generalized Finite Difference (GFD) method.

Lastly, an optimal control problem is considered, and an approximate solution is constructed. A Forward-Backward Sweep algorithm combined with the GFD resolution provides the approximate optimal states.

我们数值研究了一个非线性抛物型偏微分方程系统，该系统模拟了生物物种与外部供应的致命化学物质之间的负趋化性相互作用。这项工作扩展了关于原始PDE模型的解收敛到的ODE系统的解的知识，以及超越现有分析结果的这种收敛的制度。特别地，对于物质的周期性供应，ODE系统解的周期性的阈值是通过系统数值实验确定的。在此条件下，利用广义有限差分（GFD）方法进行无网格数值模拟，验证了PDE模型解的收敛性和最终周期性。最后，考虑了一个最优控制问题，并构造了一个近似解。向前-向后扫描算法结合GFD分辨率提供了近似的最佳状态。

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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 : 2026-04-01 Epub 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

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 : 2026-04-01 Epub 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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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 : 2026-04-01 Epub 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

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 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-04-01 Epub Date: 2026-02-04 DOI: 10.1016/j.enganabound.2026.106676

Ming He, Wenzhi Cui, Xinran Li, Yexian Wang

The problem of structural ice breaking and water entry represents a fundamental class of fluid-structure interaction in polar scientific research, characterized by complex multi-physics coupling and dynamic evolution of multi-phase interfaces. To address this challenging issue, this paper develops a self-developed multi-physics numerical solver that integrates the Eulerian finite element method for simulating fluid dynamics, the immersed boundary method for capturing the fluid-structure interface, and the peridynamics method for modeling structural fracture and failure. This integrated computational framework establishes a high-fidelity coupled model capable of simulating high-speed interactions between ice, water, and structure. The proposed numerical model is rigorously validated through comparison with experimental results. Utilizing this validated model, systematic investigations are conducted to elucidate the underlying mechanisms of cavityevolution and structural damage under varying entry velocities and angles. The findings offer significant insights into the dynamics of ice-water-structure interactions during high-speed impacts, and the conclusions derived from this study are expected to provide valuable technical support for the design and development of future polar equipments.

结构破冰入水问题是极地科学研究中流固相互作用的一个基本问题，具有复杂的多物理场耦合和多相界面动态演化的特点。为了解决这一具有挑战性的问题，本文开发了一种自行开发的多物理场数值求解器，该数值求解器集成了模拟流体动力学的欧拉有限元法、捕获流固界面的浸入边界法和模拟结构断裂和破坏的周动力学方法。该综合计算框架建立了一个高保真耦合模型，能够模拟冰、水和结构之间的高速相互作用。通过与实验结果的比较，对所提出的数值模型进行了严格验证。利用该验证模型，系统地研究了不同进入速度和角度下空腔演化和结构损伤的潜在机制。研究结果为研究高速碰撞过程中冰-水-结构相互作用动力学提供了重要见解，并为未来极地设备的设计和开发提供了有价值的技术支持。

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引用次数: 0

A hybrid BEM–PO method with adaptive domain decomposition for 3D electromagnetic scattering analysis 三维电磁散射分析的自适应区域分解混合BEM-PO方法

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2026-04-01 Epub Date: 2026-02-07 DOI: 10.1016/j.enganabound.2026.106681

Saeed Hatamzadeh , Zahra Masouri , Tofigh Allahviranloo

This paper presents a hybrid Boundary Element Method-Physical Optics framework with adaptive domain decomposition (H-BEM–PO-ADD) for three-dimensional electromagnetic scattering analysis from perfectly conducting structures. The proposed approach combines full-wave BEM modeling with high-frequency PO approximations within a unified formulation, enabling different surface regions to be treated according to their local physical and geometrical characteristics. A physics-informed adaptive partitioning strategy based on curvature, illumination, electrical size, and interaction considerations is introduced to systematically assign BEM or PO treatment without relying on fixed or heuristic domain partitions. The effectiveness of the method is demonstrated through representative engineering-oriented scattering examples, including an electrically large PEC plate and a PEC dihedral reflector. Numerical results show that the hybrid approach captures diffraction and multiple-scattering effects not accounted for by conventional PO, leading to consistent and physically meaningful differences in the computed radar cross-section responses. The proposed framework provides a flexible and extensible foundation for large-scale electromagnetic scattering analysis and can be naturally extended to other hybrid modeling strategies and more complex geometries.

本文提出了一种混合边界元法-物理光学框架自适应域分解法（H-BEM-PO-ADD），用于完美导电结构的三维电磁散射分析。所提出的方法将全波边界元建模与统一公式中的高频PO近似相结合，使不同的表面区域能够根据其局部物理和几何特征进行处理。引入了一种基于曲率、光照、电尺寸和相互作用考虑的物理信息自适应分区策略，系统地分配BEM或PO处理，而不依赖于固定或启发式域分区。通过具有代表性的面向工程的散射算例，包括一个电大的PEC板和一个PEC二面体反射器，验证了该方法的有效性。数值结果表明，混合方法捕获了传统PO未考虑的衍射和多重散射效应，导致计算雷达截面响应的一致性和物理意义上的差异。提出的框架为大规模电磁散射分析提供了灵活和可扩展的基础，可以自然地扩展到其他混合建模策略和更复杂的几何形状。

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引用次数: 0