Computer Methods in Applied Mechanics and Engineering最新文献_第4页

A random interval coupling-based active learning Kriging with meta-model importance sampling method for hybrid reliability analysis under small failure probability 基于随机区间耦合的主动学习Kriging与元模型重要抽样方法在小失效概率下的混合可靠性分析

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-16 DOI: 10.1016/j.cma.2025.117992

Sichen Dong, Lei Li, Tianyu Yuan, Xiaotan Yu, Pan Wang, Fusen Jia

引用次数: 0

Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group SE(3) 在特殊欧几里得群 SE(3) 上使用广义 B-样条插值的几何精确梁有限元

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-15 DOI: 10.1016/j.cma.2025.117979

Kunming Ren , Tingting Yuan , Jinyang Liu

{"title":"Geometrically exact beam finite element with generalized B-spline interpolation on the special Euclidean group SE(3)","authors":"Kunming Ren , Tingting Yuan , Jinyang Liu","doi":"10.1016/j.cma.2025.117979","DOIUrl":"10.1016/j.cma.2025.117979","url":null,"abstract":"<div><div>This work aims to address the challenge of achieving continuity in beam element interpolation by introducing a geometrically exact beam finite element based on generalized B-spline interpolation on the special Euclidean group <span><math><mrow><mi>S</mi><mi>E</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span>. The beam’s configuration is represented within the <span><math><mrow><mi>S</mi><mi>E</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span> framework and interpolated using a generalized B-spline approach, enabling high-order interpolation with enhanced <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> continuity. The interpolation is implemented through an extension of the classical De Boor algorithm to Lie groups via the pyramid algorithm. A systematic method is proposed for computing derivatives and linearizations essential for finite element formulations. Both static and dynamic equilibrium equations are derived on <span><math><mrow><mi>S</mi><mi>E</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></mrow></math></span>, and the finite element formulations are established accordingly. Numerical examples validate the proposed element, confirming its correctness and adherence to critical properties, including objectivity, path-independence, and the absence of locking. The combination of <span><math><msup><mrow><mi>C</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> continuity and the high degree of the interpolation substantially enhances the convergence performance. In particular, the degree-2 beam element achieves improved accuracy with sixth-order convergence rates when the degrees of freedom are relatively low. These characteristics make the proposed element highly suitable for high-accuracy simulations of beam structures undergoing large deformations and rotations.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117979"},"PeriodicalIF":6.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829216","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational model and simulation of the solid-state sintering process as a thermal treatment for metal extrusion additive manufacturing: Microstructural and Multiphysics approach 金属挤压增材制造固态烧结热处理的计算模型与仿真：显微组织与多物理场方法

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-15 DOI: 10.1016/j.cma.2025.117978

Judice Cumbunga , Saïd Abboudi , Dominique Chamoret

引用次数: 0

Real-time inference and extrapolation with Time-Conditioned UNet: Applications in hypersonic flows, incompressible flows, and global temperature forecasting 时间条件UNet的实时推断和外推：在高超声速流、不可压缩流和全球温度预报中的应用

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-15 DOI: 10.1016/j.cma.2025.117982

Oded Ovadia , Vivek Oommen , Adar Kahana , Ahmad Peyvan , Eli Turkel , George Em Karniadakis

{"title":"Real-time inference and extrapolation with Time-Conditioned UNet: Applications in hypersonic flows, incompressible flows, and global temperature forecasting","authors":"Oded Ovadia , Vivek Oommen , Adar Kahana , Ahmad Peyvan , Eli Turkel , George Em Karniadakis","doi":"10.1016/j.cma.2025.117982","DOIUrl":"10.1016/j.cma.2025.117982","url":null,"abstract":"<div><div>Neural Operators are fast and accurate surrogates for nonlinear mappings between functional spaces within training domains. Extrapolation beyond the training domain remains a grand challenge across all application areas. We present Time-Conditioned UNet (TC-UNet) as an operator learning method to solve time-dependent PDEs continuously in time without any temporal discretization, including in extrapolation scenarios. TC-UNet incorporates the temporal evolution of the PDE into its architecture by combining a parameter conditioning approach with the attention mechanism from the Transformer architecture. After training, TC-UNet makes real-time inferences on an arbitrary temporal grid. We demonstrate its extrapolation capability on a climate problem by estimating the global temperature for several years and also for inviscid hypersonic flow around a double cone. We propose different training strategies involving temporal bundling and sub-sampling. We demonstrate performance improvements for several benchmarks, performing extrapolation for long time intervals and zero-shot super-resolution time.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117982"},"PeriodicalIF":6.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143834453","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Physics-Informed Extreme Learning Machine (PIELM) for Stefan problems 用于Stefan问题的物理信息极限学习机（PIELM）

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-15 DOI: 10.1016/j.cma.2025.118015

Fei Ren , Pei-Zhi Zhuang , Xiaohui Chen , Hai-Sui Yu , He Yang

{"title":"Physics-Informed Extreme Learning Machine (PIELM) for Stefan problems","authors":"Fei Ren , Pei-Zhi Zhuang , Xiaohui Chen , Hai-Sui Yu , He Yang","doi":"10.1016/j.cma.2025.118015","DOIUrl":"10.1016/j.cma.2025.118015","url":null,"abstract":"<div><div>Stefan problems describe heat transfer through a material undergoing phase change, and solving these problems poses a real challenge due to the existence of a time-dependent moving boundary at the phase change interface. We propose an efficient and reliable physics-informed extreme learning machine (PIELM) framework for solving Stefan problems, which is achieved by replacing deep neural networks in the widely used physics-informed neural network (PINN) with extreme learning machines (ELM). We use a dual-network structure to approximate the latent solution and the moving boundary by two separate ELM networks, and in each ELM we incorporate physical laws of governing equations as well as initial and boundary conditions. Then, determining ELM layer weights is transformed from minimising loss into solving a system of equations. These equations are nonlinear because of the moving boundary, and we tackle them using an iterative least-squares procedure. The feasibility and validity of the proposed PIELM framework are demonstrated by carrying out six numerical case studies. Compared to conventional PINN frameworks, it shows that our PIELM framework can significantly improve the accuracy and efficiency for solving Stefan problems, reducing relative <em>L</em><sub>2</sub> errors from the orders of 10<sup>–3</sup>∼10<sup>–5</sup> to 10<sup>–6</sup>∼ 10<sup>–8</sup>.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 118015"},"PeriodicalIF":6.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829214","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A wrinkling model for general hyperelastic materials based on tension field theory 基于张力场理论的一般超弹性材料起皱模型

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-15 DOI: 10.1016/j.cma.2025.117955

H.M. Verhelst , M. Möller , J.H. Den Besten

{"title":"A wrinkling model for general hyperelastic materials based on tension field theory","authors":"H.M. Verhelst , M. Möller , J.H. Den Besten","doi":"10.1016/j.cma.2025.117955","DOIUrl":"10.1016/j.cma.2025.117955","url":null,"abstract":"<div><div>Wrinkling is the phenomenon of out-of-plane deformation patterns in thin walled structures, as a result of a local compressive (internal) loads in combination with a large membrane stiffness and a small but non-zero bending stiffness. Numerical modelling typically involves thin shell formulations. As the mesh resolution depends on the wrinkle wave lengths, the analysis can become computationally expensive for shorter ones. Implicitly modelling the wrinkles using a modified kinematic or constitutive relationship based on a taut, slack or wrinkled state derived from a so-called tension field, a simplification is introduced in order to reduce computational efforts. However, this model was restricted to linear elastic material models in previous works. Aiming to develop an implicit isogeometric wrinkling model for large strain and hyperelastic material applications, a modified deformation gradient has been assumed, which can be used for any strain energy density formulation. The model is an extension of a previously published model for linear elastic material behaviour and is generalised to other types of discretisation as well. The extension for hyperelastic materials requires the derivative of the material tensor, which can be computed numerically or derived analytically. The presented model relies on a combination of dynamic relaxation and a Newton–Raphson solver, because of divergence in early Newton–Raphson iterations as a result of a changing tension field, which is not included in the stress tensor variation. Using four benchmarks, the model performance is evaluated. Convergence with the expected order for Newton–Raphson iterations has been observed, provided a fixed tension field. The model accurately approximates the mean surface of a wrinkled membrane with a reduced number of degrees of freedom in comparison to a shell solution.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117955"},"PeriodicalIF":6.9,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829215","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Mesh free Hamiltonian method for solid dynamics simulation 固体动力学仿真的无网格哈密顿法

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-13 DOI: 10.1016/j.cma.2025.117991

Jie Zhang , Eric P. Fahrenthold

{"title":"Mesh free Hamiltonian method for solid dynamics simulation","authors":"Jie Zhang , Eric P. Fahrenthold","doi":"10.1016/j.cma.2025.117991","DOIUrl":"10.1016/j.cma.2025.117991","url":null,"abstract":"<div><div>A wide range of solid dynamics problems include a central focus on fracture, fragmentation, and thermomechanical failure processes difficult to accommodate in current continuum, particle, or mixed particle-continuum formulations. In recent research the authors have developed a new mesh-free method for solid dynamics simulation which addresses this class of problems. The method uses a nonholonomic Hamiltonian modeling technique to combine a continuum level description of large strain elastic–plastic deformation with a system level model incorporating discontinuous fracture and fragmentation processes. No partial differential equations are used. The method avoids the mesh distortion problems of Lagrangian finite element methods, the mass diffusion problems of Eulerian finite volume methods, and a range of complications associated with various particle based simulation algorithms. Application of the method shows good agreement with exact solutions in one dimensional test problems and good agreement with experimental results in three dimensional shock physics simulations incorporating fracture, fragmentation, and large strain elastic–plastic deformation.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117991"},"PeriodicalIF":6.9,"publicationDate":"2025-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824125","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Computational multi-physics modeling of membranes in proton exchange membrane water electrolyzers 质子交换膜水电解槽中膜的计算多物理场建模

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-12 DOI: 10.1016/j.cma.2025.117974

Alberto Antonini , Yousef Heider , Giovanna Xotta , Valentina Salomoni , Fadi Aldakheel

{"title":"Computational multi-physics modeling of membranes in proton exchange membrane water electrolyzers","authors":"Alberto Antonini , Yousef Heider , Giovanna Xotta , Valentina Salomoni , Fadi Aldakheel","doi":"10.1016/j.cma.2025.117974","DOIUrl":"10.1016/j.cma.2025.117974","url":null,"abstract":"<div><div>The present work provides a modeling framework to capture the complex multi-physics <em>electro-chemical-hydro-mechanical</em> processes in membranes of multilayer Proton Exchange Membrane Water Electrolysis (PEMWE) cells. It relies on the Theory of Porous Media (TPM) to establish a continuum-based framework suitable for efficient simulation of the coupled interactions of porous multiphase materials. This macroscopic framework is capable of accurately representing the local interactions among the immiscible phases, including membrane deformation, water transport, nanopore pressure dynamics, and proton diffusion, all of which are essential for PEMWE functionality. Numerical simulations in two- and three-dimensional space are presented to verify the capabilities of the model and to address key numerical stability challenges of the strongly coupled problem. The numerical implementations are carried out using the open-access finite element package FEniCSx. The corresponding source codes are openly available at [ <span><span>https://doi.org/10.25835/5s3p3a8s</span><svg><path></path></svg></span>], allowing reproducibility by interested researchers.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117974"},"PeriodicalIF":6.9,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143824124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Patch based unbiased 3D frictional contact formulation for finite element algorithms 基于贴片的无偏三维摩擦接触有限元算法

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-10 DOI: 10.1016/j.cma.2025.117958

Indrajeet Sahu, Nik Petrinic

{"title":"Patch based unbiased 3D frictional contact formulation for finite element algorithms","authors":"Indrajeet Sahu, Nik Petrinic","doi":"10.1016/j.cma.2025.117958","DOIUrl":"10.1016/j.cma.2025.117958","url":null,"abstract":"<div><div>A new truly unbiased frictional contact formulation exclusively leveraging the midplane-based segment-to-segment (STS) interaction with a predictor–corrector approach is presented. Unlike the traditional master–slave based dual pass approaches, this formulation only requires a single pass providing a computational advantage in comparison. This work details the development of a penalty-regularised frictional contact between discretised surfaces following an equivalent description in the continuum space. The relative motion between the contacting segments is studied through changes in the interacting convective coordinates in overlapping regions, thus ensuring an unbiased formulation without labelling surfaces as master and slave. Here, the stick–slip frictional states are enforced over interacting regions (patches) of all STS pairs instead of the node on segment pairs by utilising the return mapping algorithm. The formulation inherently maintains the traction equality on opposite surfaces of all contact pairs. The robustness of the formulation is demonstrated through several examples with varying contact conditions of stick–slip states and transition in static and dynamic problems including flat and curved surfaces, rolling effect, self-contact and impact.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117958"},"PeriodicalIF":6.9,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143814874","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Integral parameterization of volumetric domains via deep neural networks 基于深度神经网络的体积域积分参数化

IF 6.9 1区工程技术

Computer Methods in Applied Mechanics and Engineering Pub Date : 2025-04-10 DOI: 10.1016/j.cma.2025.117988

Zheng Zhan , Wenping Wang , Falai Chen

{"title":"Integral parameterization of volumetric domains via deep neural networks","authors":"Zheng Zhan , Wenping Wang , Falai Chen","doi":"10.1016/j.cma.2025.117988","DOIUrl":"10.1016/j.cma.2025.117988","url":null,"abstract":"<div><div>Isogeometric Analysis (IGA) is a promising technique that integrates geometric modeling with numerical analysis. An essential step in IGA is domain parameterization, which aims to establish a parametric representation for a given computational domain. Specifically, it involves defining a spline-based mapping from the standard parametric domain to the computational domain. Typically, domain parameterization is performed in two stages: identifying an appropriate boundary correspondence and then parameterizing the interior region. However, this separation of the parameterization process often leads to a degradation in the quality of the parameterization. To attain high-quality parameterization, it is essential to optimize both the boundary correspondence and the interior mapping simultaneously. This approach is referred to as integral parameterization. Previous research has introduced integral parameterization methods for planar domains using neural networks. The goal of the current paper is to extend the method to handle integral parameterization of volumetric domains. We utilize Multi-Layer Perceptrons (MLPs) to represent the inverse parameterization mappings, incorporating efficient distortion measures into the loss function. To ensure stable training and achieve accurate results, we employ several techniques, including a four-stage training procedure and the smooth cuboid approach. The performance of our method is evaluated on multiple volumetric domains, and experimental results demonstrate its superiority over existing state-of-the-art techniques.</div></div>","PeriodicalId":55222,"journal":{"name":"Computer Methods in Applied Mechanics and Engineering","volume":"441 ","pages":"Article 117988"},"PeriodicalIF":6.9,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143814875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0