Engineering Analysis with Boundary Elements最新文献_第7页

A rapid prediction approach for the global deformation field of concrete-faced rockfill dams based on POD–MLP 基于POD-MLP的面板堆石坝整体变形场快速预测方法

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-13 DOI: 10.1016/j.enganabound.2025.106599

Kai Chen , Haitao Guo , Xu Luo , Degao Zou , Shanlin Tian

Addressing the challenge of predicting deformation in concrete-faced rockfill dams (CFRDs) due to the nonlinear relationship between dam deformation and material parameters, this paper proposes a rapid deformation field prediction method integrating Proper Orthogonal Decomposition (POD) and Multi-Layer Perceptron (MLP). The Latin Hypercube Sampling (LHS) method is used to sample the parameter space of the Duncan-Chang E-B model. A finite element simulation dataset is created using the SBFEM-FEM coupled efficient analysis algorithm, assembling a deformation field snapshot matrix. The POD algorithm reduces the high-dimensional deformation field, extracting dominant modes and calculating corresponding modal coefficients. A regression model integrates material parameters and modal coefficients via MLP theory, enabling rapid prediction of the global displacement field with millisecond-level precision. The method is validated through cantilever beam bending, single-zone, and multi-zone dam body deformation analyses. The findings suggest that the proposed method can achieve high-precision reconstruction of the deformation field with fewer modes, offering advantages such as low prediction error, reduced computation time, strong generalization capability, and good engineering applicability. This method provides an efficient and reliable research tool for response analysis and prediction of geotechnical structures such as CFRDs, demonstrating promising application prospects and promotional value.

针对混凝土面板堆石坝变形与材料参数之间存在非线性关系所带来的变形预测难题，提出了一种结合固有正交分解（POD）和多层感知机（MLP）的快速变形场预测方法。采用拉丁超立方采样（LHS）方法对Duncan-Chang E-B模型的参数空间进行采样。采用SBFEM-FEM耦合高效分析算法建立有限元模拟数据集，组装变形场快照矩阵。POD算法减少高维变形场，提取优势模态并计算相应的模态系数。回归模型通过MLP理论整合材料参数和模态系数，能够以毫秒级精度快速预测全局位移场。通过悬臂梁弯曲、单区和多区坝体变形分析，验证了该方法的有效性。结果表明，该方法能够以较少的模态实现高精度的变形场重建，具有预测误差小、计算时间短、泛化能力强、工程适用性强等优点。该方法为cfrd等岩土结构的响应分析与预测提供了一种高效可靠的研究工具，具有良好的应用前景和推广价值。

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引用次数: 0

Multiphase lattice Boltzmann flux solver for non-Newtonian power-law fluid flows with high efficiency and stability 多相点阵玻尔兹曼通量求解器求解非牛顿幂律流体流动，具有高效率和稳定性

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-13 DOI: 10.1016/j.enganabound.2025.106600

Haoran Yan , Yunpeng Lu , Hong Song , Yan Wang , Guiyong Zhang

This study develops a multiple-relaxation-time multiphase lattice Boltzmann flux solver (MRT-MLBFS) for the simulation of incompressible multiphase flows involving Newtonian and non-Newtonian fluids with large density ratio and rheological contrasts. The method integrates a phase-field model for interface capturing and a finite-volume-based LBFS framework to solve the macroscopic Navier–Stokes equations. By combining a MRT formulation with a flux reconstruction strategy, the method effectively suppresses numerical instabilities while reducing artificial dissipation, thereby ensuring robust simulations under extreme density and viscosity contrasts. Additionally, the algorithm is implemented in a fully explicit scheme and accelerated on GPU, which leads to a significant gain in computational efficiency, achieving speedups exceeding two orders of magnitude compared to CPU implementations. Through a series of benchmark cases, including droplet on plate, Rayleigh–Taylor instability, and droplet spreading on thin film, MRT-MLBFS is shown to capture complex interfacial evolution and nonlinear rheological effects with high accuracy and stability. This work establishes MRT-MLBFS as a reliable solution strategy for non-Newtonian multiphase flows with broad applicability.

本研究开发了一个多松弛时间多相晶格玻尔兹曼通量求解器（MRT-MLBFS），用于模拟具有大密度比和流变对比的牛顿和非牛顿流体的不可压缩多相流。该方法结合相场模型和有限体积LBFS框架求解宏观Navier-Stokes方程。通过将MRT公式与通量重建策略相结合，该方法有效地抑制了数值不稳定性，同时减少了人为耗散，从而确保了在极端密度和粘度对比下的鲁棒模拟。此外，该算法以完全显式的方案实现，并在GPU上加速，这使得计算效率显着提高，与CPU实现相比，实现了超过两个数量级的速度。通过液滴在平板上、瑞利-泰勒不稳定性和液滴在薄膜上扩散等一系列基准实验，证明了MRT-MLBFS能够以较高的精度和稳定性捕捉复杂的界面演化和非线性流变效应。这项工作建立了MRT-MLBFS作为一种可靠的非牛顿多相流求解策略，具有广泛的适用性。

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引用次数: 0

A novel CNN-BiLSTM-attention framework based on improved sparrow search algorithm for hydraulic turbine condition recognition 基于改进麻雀搜索算法的cnn - bilstm -注意力框架用于水轮机状态识别

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-12 DOI: 10.1016/j.enganabound.2025.106597

Liying Wang, Hongtao Ye, Jianhao Cui, Yihan Xie

Aiming at the problems of nonlinearity and non-stationarity of vibration signals of hydraulic turbines under complex conditions, this paper proposes a condition recognition method based on the improved sparrow search algorithm (ISSA) to optimize the CNN-BiLSTM-Attention model. By introducing three strategies, namely generalized quadratic interpolation (GQI), adaptive sinusoidal perturbation and cooperative learning mechanism, the SSA algorithm is improved, and its convergence accuracy, ability to escape local optimum and global search stability are significantly enhanced. The parameters of the improved complete ensemble empirical mode decomposition with adaptive noise (ICEEMDAN) are optimized by the ISSA algorithm, and the vibration signals are decomposed to extract the dominant modal components as the model input. By integrating the spatial extraction ability of the convolutional neural network (CNN), the time series modeling ability of the bidirectional long short-term memory network (BiLSTM), and the SE attention mechanism, the CNN-BiLSTM-Attention model is established, and the hyperparameters of this model are optimized by the ISSA algorithm to enhance the model performance. The results show that the proposed model has an accuracy rate of 97.21 % in the condition recognition of hydraulic turbines, which verifies the effectiveness and superiority of this method in the recognition of complex vibration signals.

针对水轮机在复杂工况下振动信号的非线性和非平稳性问题，提出了一种基于改进麻雀搜索算法（ISSA）的工况识别方法，对CNN-BiLSTM-Attention模型进行优化。通过引入广义二次插值（GQI）、自适应正弦摄动和合作学习机制对SSA算法进行改进，显著提高了SSA算法的收敛精度、逃避局部最优的能力和全局搜索稳定性。采用ISSA算法对改进的带自适应噪声的全系综经验模态分解（ICEEMDAN）参数进行优化，对振动信号进行分解，提取主模态分量作为模型输入。通过整合卷积神经网络（CNN）的空间提取能力、双向长短期记忆网络（BiLSTM）的时间序列建模能力和SE注意机制，建立CNN-BiLSTM- attention模型，并通过ISSA算法对模型的超参数进行优化，提高模型性能。结果表明，该模型在水轮机工况识别中的准确率达到97.21%，验证了该方法在复杂振动信号识别中的有效性和优越性。

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引用次数: 0

A coupled SPH–FEM model for evaluating bearing behavior of helical pile groups 螺旋桩群承载性能的SPH-FEM耦合模型

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-11 DOI: 10.1016/j.enganabound.2025.106598

Yanyan Li, Zhihua Lei, Hong Zheng

Helical piles have significant application potential in offshore wind and photovoltaic infrastructure. However, current research primarily focuses on bearing mechanisms of single helical piles, while comprehensive studies on the bearing behavior and stability of helical-pile groups under soil disturbance remain limited. To address this research gap, a coupled Smoothed Particle Hydrodynamics (SPH)–Finite Element Method (FEM) model was developed to simulate the penetration and uplift processes of helical piles and to investigate the bearing characteristics of helical-pile groups with different configurations in sand subjected to soil disturbance. Comparison with conventional theoretical methods and the coupled Eulerian-Lagrangian model confirmed the accuracy of the new model. A parametric study was subsequently conducted, considering two pile-group configurations and three spacing ratios. The results indicate that: (1) installation resistance is governed by both the pile spacing ratio and the group configuration; (2) group effects become more pronounced as pile spacing decreases and the number of piles increases; (3) under smaller pile spacings and triangular configurations, the degree of soil disturbance is significantly intensified due to the interaction of stress bulbs between adjacent helical piles; and (4) the pile spacing ratio and group configuration critically influence the failure modes of pile groups.

螺旋桩在海上风电和光伏基础设施中具有重要的应用潜力。然而，目前的研究主要集中在单螺旋桩的承载机理上，而对土体扰动下螺旋桩群的承载性能和稳定性的综合研究还很有限。针对这一研究空白，建立了光滑颗粒流体力学(SPH) -有限元（FEM）耦合模型，模拟了螺旋桩在土体扰动作用下的侵切和上拔过程，研究了不同构型螺旋桩群在砂土中的承载特性。通过与传统理论方法和欧拉-拉格朗日耦合模型的比较，证实了新模型的准确性。随后进行了参数化研究，考虑了两种桩群结构和三种间距比。结果表明：(1)安装阻力受桩间距比和群构型共同支配；(2)群效应随着桩间距的减小和桩数的增加而更加明显；(3)在较小桩间距和三角形构型下，相邻螺旋桩之间的应力球相互作用使土体扰动程度显著加剧；(4)桩间距比和群形对群桩的破坏模式有重要影响。

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引用次数: 0

Physics-informed neural network combined with weighted square terms and two-phase training strategy for partial differential equations 结合加权平方项和两阶段偏微分方程训练策略的物理信息神经网络

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-10 DOI: 10.1016/j.enganabound.2025.106596

Wenkai Liu , Yang Liu , Hong Li , Zhimin Zhang

In this paper, with the goal of enhancing the performance of physics-informed neural network (PINN) by introducing new physics information, we first utilize known physical conditions, such as boundary condition, initial condition, and governing equation, to construct additional supervised learning tasks acting on neural network and propose a novel loss function construction strategy based on PINN. Furthermore, we design a two-phase training scheme and combine it with the square term of the governing equation to accelerate computational efficiency. This training strategy consists of two parts: the initialization phase and the updated phase. Finally, we demonstrate the effectiveness of the proposed methods in addressing various PDEs. The results illustrate that the weighted square term given by boundary condition has better performance and the proposed training strategy can enhance computational efficiency. Moreover, we also compare our proposed methods with variants of the PINN, including gradient-enhanced PINN (gPINN) and dimension-augmented PINN (DaPINN), in the 1D Poisson and breaking soliton problems.

本文以引入新的物理信息来提高物理知情神经网络（PINN）的性能为目标，首先利用已知的物理条件，如边界条件、初始条件和控制方程，构造作用于神经网络的附加监督学习任务，并提出了一种新的基于PINN的损失函数构造策略。此外，我们设计了一种两阶段训练方案，并将其与控制方程的平方项相结合，以提高计算效率。该训练策略包括两个部分：初始化阶段和更新阶段。最后，我们证明了所提出的方法在解决各种偏微分方程方面的有效性。结果表明，由边界条件给出的加权平方项具有较好的性能，所提出的训练策略可以提高计算效率。此外，我们还将我们提出的方法与一维泊松和破缺孤子问题中的各种PINN方法进行了比较，包括梯度增强PINN （gPINN）和维度增强PINN （DaPINN）。

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引用次数: 0

BEM simulation of the interlaminar stresses of 3D thin composites subjected to inertial loads 三维薄复合材料在惯性载荷作用下层间应力的边界元模拟

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-10 DOI: 10.1016/j.enganabound.2025.106595

Y.C. Shiah

A common concern in the use of thin laminated composites is the potential debonding caused by interlaminar stresses of adhesives. However, their simulations by conventional schemes present modelling difficulties stemming from the thinness of each laminate and adhesive layer. For that, conventional simulations usually neglect the presence of thin adhesives on interfaces. Due to such negligence, any potential debonding from the failure of adhesives cannot be properly assessed. This paper presents efficiently modelling of the interlaminar stresses in 3D thin laminated composites when subjected to the inertial loads of self-weight or rotations using the boundary element method (BEM). By applying the FG-Squircular mapping (introduced by Manuel Fernandez-Guasti in 1992), the transformed boundary singular integrals due to the inertial loads are completely regularized. By the BEM modelling, thin laminated composites bonded with thin sheets of adhesives on interfaces can thus be modelled using very coarse meshes.

使用薄层复合材料的一个共同问题是粘合剂的层间应力引起的潜在脱粘。然而，他们的模拟通过传统的方案提出建模困难源于每层压层和胶粘剂层的薄。因此，传统的模拟通常忽略了界面上薄胶粘剂的存在。由于这样的疏忽，任何潜在的脱胶失败的粘合剂不能适当地评估。本文采用边界元法对三维薄层复合材料在自重或旋转惯性载荷作用下的层间应力进行了有效的建模。通过应用FG-Squircular映射（Manuel Fernandez-Guasti于1992年引入），由惯性载荷引起的变换边界奇异积分完全正则化。通过边界元模型，薄层复合材料与薄片粘合剂粘合在界面上，因此可以使用非常粗的网格建模。

引用次数: 0

Nonlinear resonant responses and chaotic dynamics of braided composite truncated conical shell 编织复合材料截顶锥形壳的非线性共振响应与混沌动力学

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-09 DOI: 10.1016/j.enganabound.2025.106590

Tao Liu , Yifeng Li , Xiangying Guo , Yan Zheng

Against the research background of rocket fairings, this study investigates the vibration characteristics and nonlinear dynamic behavior of two-phase braided composite truncated conical shells under complex environments. We establish a dynamic model via FSDT and Hamilton's principle, studying the two-phase braided composite truncated conical shell's natural vibration. FEA comparison shows ≤2.95 % error. Higher fiber volume boosts frequency and stiffness. Subsequently, we analyze the occurrence of 1:1 internal resonance when the half apex angle is 60° On this basis, external excitation, aerodynamic forces, and damping effects are introduced to further establish a nonlinear dynamic model. The Galerkin method is used to discretize the nonlinear governing equations, and the pseudo-arclength continuation method is used to analyze the effects of parameter variations on the 1:1 internal resonance behavior. The results reveal that increasing the fiber volume fraction, braiding angle, and damping can effectively reduce the resonance peak. Finally, we examine the nonlinear dynamic behavior of the structure, with a focus on revealing the mechanisms by which external excitation and damping affect the dynamic stability of the system. The results provide important theoretical support for the vibration control and structural reliability design of braided composite thin-walled components.

以火箭整流罩为研究背景，研究了复杂环境下两相编织复合材料截顶圆锥壳的振动特性和非线性动力行为。利用FSDT和Hamilton原理建立了两相编织复合材料截锥壳的动力学模型，研究了两相编织复合材料截锥壳的自振特性。有限元对比表明误差≤2.95%。更高的纤维体积可以提高频率和硬度。在此基础上，引入外部激励、气动力和阻尼效应，进一步建立非线性动力学模型。采用伽辽金法对非线性控制方程进行离散化，并采用伪弧长延延法分析了参数变化对1:1内共振特性的影响。结果表明，增加纤维体积分数、编织角和阻尼可以有效地降低共振峰。最后，我们研究了结构的非线性动力行为，重点揭示了外部激励和阻尼影响系统动态稳定性的机制。研究结果为编织复合材料薄壁构件的振动控制和结构可靠性设计提供了重要的理论支持。

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引用次数: 0

Axisymmetric crack in transversely isotropic FGM Full-space under tractions on crack surfaces 横向各向同性FGM全空间裂纹表面牵拉作用下的轴对称裂纹

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-08 DOI: 10.1016/j.enganabound.2025.106587

Sha Xiao , Zhongqi Quentin Yue

This paper develops a discontinuous displacement method to analyze an axisymmetric crack in an infinite functionally graded material (FGM) with transverse isotropy. The fundamental solution for a transversely isotropic layered solid of infinite extent subjected to point concentrated loads is employed to establish boundary integral equations only over one side of crack surfaces. Both continuous and discontinuous elements are employed to discretize the crack surface. A discretization technique is utilized to model arbitrary variations of the FGM along a graded direction. Verifications are conducted to illustrate that the numerical solutions presented by the proposed approach are in very good agreement with the classical analytical solutions. Examples are given for penny-shaped cracks in isotropic and transversely isotropic FGMs under different types of tractions, and the stress intensity factors (SIF) for two types of elastic media are analyzed and compared in detail. Results illustrate the effect of the heterogeneity and anisotropy of the materials on the fracture behavior of crack problems.

本文提出了一种分析具有横向各向同性的无限功能梯度材料轴对称裂纹的不连续位移法。利用横向各向同性无限宽层状固体受点集中荷载作用的基本解，建立了仅在裂纹表面一侧的边界积分方程。采用连续单元和不连续单元对裂纹表面进行离散化。利用离散化技术对梯度方向上FGM的任意变化进行了建模。验证表明，所提出的数值解与经典解析解非常吻合。给出了各向同性和横向各向同性fgm中便士形裂纹在不同牵引力作用下的算例，并对两种弹性介质的应力强度因子进行了详细的分析和比较。结果说明了材料的非均质性和各向异性对裂纹问题断裂行为的影响。

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引用次数: 0

C-SPH+ST: A novel stabilized corrected smoothed particle hydrodynamics scheme for high Weissenberg number problem of viscoelastic fluids C-SPH+ST：粘弹性流体高Weissenberg数问题的一种新的稳定修正光滑粒子流体力学格式

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-08 DOI: 10.1016/j.enganabound.2025.106573

Jinlian Ren , Wei Zhang , Weigang Lu , Tao Jiang

In this paper, a novel stabilization term (ST) is introduced into the nonlinear constitutive model, and a corrected smoothed particle hydrodynamics approximation scheme incorporating the stabilization term, which is termed as C-SPH+ST, is developed to address the High Weissenberg Number Problem (HWNP) in viscoelastic fluids based on the Oldroyd-B constitutive model. To establish a high-accuracy, enhanced-stability algorithm for solving the HWNP of viscoelastic fluids, we perform the improvements based on a corrected SPH method in our previous work which enforces the corrected kernel gradient, particle shifting and density reinitialization techniques in the original SPH framework. Meanwhile, a novel stabilization term, distinct from existing artificial stress terms, is proposed and integrated into the C-SPH+noST method. In numerical experiments, the validity of the proposed stabilized corrected SPH scheme is first verified by simulating classical viscoelastic flows with HWNP, with results compared against reference solutions. The proposed stable particle scheme is then applied to predict the complex nonlinear behavior of viscoelastic Wannier flow, and focusing primarily on the influence of high Weissenberg Number on unstable viscoelastic flow. Additionally, the effects of the parameters in the given stabilization term and other techniques are also analyzed and discussed. All numerical results indicate that the proposed C-SPH+ST algorithm is a robust tool for addressing the HWNP in viscoelastic fluids, and can efficiently prevent non-physical particle clustering and accurately capture the complex phenomena in viscoelastic flows with high Weissenberg numbers.

本文在非线性本构模型中引入了一种新的稳定项（ST），并基于Oldroyd-B本构模型，提出了一种包含稳定项的修正光滑颗粒流体力学近似格式C-SPH+ST，以解决粘弹性流体中的高Weissenberg数问题（HWNP）。为了建立一种高精度、增强稳定性的黏弹性流体HWNP求解算法，我们在之前工作的修正SPH方法的基础上进行了改进，该方法在原始SPH框架中加强了修正的核梯度、粒子移动和密度重新初始化技术。同时，提出了一种新的稳定项，区别于现有的人工应力项，并将其集成到C-SPH+noST方法中。在数值实验中，首先用HWNP模拟经典粘弹性流动，验证了所提出的稳定修正SPH格式的有效性，并与参考解进行了比较。然后将所提出的稳定粒子格式应用于粘弹性万尼尔流的复杂非线性行为预测，重点研究了高Weissenberg数对不稳定粘弹性流的影响。此外，还分析和讨论了在给定稳定期限内参数和其他技术的影响。所有数值结果表明，C-SPH+ST算法是解决粘弹性流体中HWNP问题的有力工具，可以有效地防止非物理颗粒聚集，准确捕捉高Weissenberg数粘弹性流动中的复杂现象。

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引用次数: 0

A novel multi-loading deep energy method for 3D hyperelastic problems using a separable structure 基于可分离结构的三维超弹性问题多载荷深能新方法

IF 4.1 2区工程技术 Q1 ENGINEERING, MULTIDISCIPLINARY

Engineering Analysis with Boundary Elements

Pub Date : 2025-12-05 DOI: 10.1016/j.enganabound.2025.106567

Linh Nguyen Hoai Le, Nha Thanh Nguyen

In recent years, physics-informed neural networks (PINNs) have become an active research field in computational mechanics. Among the PINN variants, the energy-based PINN, known as the deep energy method (DEM), is regarded as particularly effective. Unlike traditional PINNs, DEM merges multiple objective functions into one energy formulation, making convergence easier. Requiring only lower-order derivatives, DEM is also simpler to implement. This paper introduces a multi-loading model for nonlinear analysis that incorporates load factors as inputs during training. By training with a small set of loads, the resulting network can predict approximated fields for any load factor. To enhance efficiency, a separable structure is employed as a low-rank approximator, and its performance is compared with conventional approaches. Due to the well-conditioned and convex nature of hyperelastic energy functions, the model focuses on hyperelastic materials. A regression-based criterion is developed to estimate convergence. To assess robustness, three-dimensional problems are analyzed. The network is trained over a wide range of load factors, and the Adaptive Moment Estimation (Adam) optimizer is used. Results are compared with reference data for validation. Findings demonstrate that the proposed multi-loading model provides accurate, highly correlated predictions in both interpolation and extrapolation regions.

近年来，物理信息神经网络（pinn）已成为计算力学领域的一个活跃研究领域。在PINN变体中，基于能量的PINN，称为深能量法（DEM），被认为是特别有效的。与传统的pinn不同，DEM将多个目标函数合并到一个能量公式中，使收敛更容易。只需要低阶导数，DEM也更容易实现。本文介绍了一种多载荷非线性分析模型，该模型在训练过程中将载荷因子作为输入。通过使用一小组负载进行训练，得到的网络可以预测任何负载因子的近似场。为了提高效率，采用可分离结构作为低秩逼近器，并与传统逼近方法进行了性能比较。由于超弹性能量函数的良好条件和凸性，该模型主要研究超弹性材料。提出了一种基于回归的准则来估计收敛性。为了评估鲁棒性，分析了三维问题。采用自适应矩估计（Adam）优化器对网络进行了大范围负载因子的训练。结果与参考数据进行了对比验证。研究结果表明，所提出的多载荷模型在内插和外推区域都提供了准确的、高度相关的预测。

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引用次数: 0