International Journal for Numerical Methods in Engineering最新文献

Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-08 DOI: 10.1002/nme.70021

JiuYi Li, ShanKun Liu, Fei Han, Yong Mei, YunHou Sun, FengJun Zhou

{"title":"Adaptive Coupling of Peridynamic and Classical Continuum Mechanical Models Driven by Broken Bond/Strength Criteria for Structural Dynamic Failure","authors":"JiuYi Li, ShanKun Liu, Fei Han, Yong Mei, YunHou Sun, FengJun Zhou","doi":"10.1002/nme.70021","DOIUrl":"https://doi.org/10.1002/nme.70021","url":null,"abstract":"<div>\u0000 \u0000 <p>Peridynamics (PD) is widely used to simulate structural failure. However, PD models are time consuming. To improve the computational efficiency, we developed an adaptive coupling model between PD and classical continuum mechanics (PD-CCM) based on the Morphing method, driven by the broken bond or strength criteria. We derived the dynamic equation of the coupled models from the Lagrangian equation and then the discretized finite element formulation. An adaptive coupling strategy was introduced by determining the key position using the broken bond or strength criteria. The PD subdomain was expanded by altering the value of the Morphing function around the key position. Additionally, the PD subdomain was meshed by discrete elements (DEs) (i.e., nodes were not shared between elements), allowing the crack to propagate freely along the boundary of the DE. The remaining subdomains were meshed by continuous elements (CEs). Following the PD subdomain expansion, the CEs were converted into DEs, and new nodes were inserted. The displacement vector and mass matrix were reconfigured to ensure calculation consistency throughout the solving process. Furthermore, the relationship between the expansion radius of the PD subdomain and the speed of crack propagation was also discussed. Finally, the effectiveness, efficiency, and accuracy of the proposed model were verified via three two-dimensional numerical examples.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 7","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143793300","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Novel Study on Strain Modes-Based Interval Damage Identification Methodology Utilizing Orthogonal Polynomials and Collocation Theories

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-06 DOI: 10.1002/nme.70032

Lei Wang, Lihan Cheng, Qinghe Shi

{"title":"Novel Study on Strain Modes-Based Interval Damage Identification Methodology Utilizing Orthogonal Polynomials and Collocation Theories","authors":"Lei Wang, Lihan Cheng, Qinghe Shi","doi":"10.1002/nme.70032","DOIUrl":"https://doi.org/10.1002/nme.70032","url":null,"abstract":"<div>\u0000 \u0000 <p>The sensitivity of strain modes to local stiffness changes within a structure underscores their potential as robust indicators of damage, enhancing the efficacy of damage identification processes. This study establishes sensitivity matrices of natural frequencies and strain modes to damage parameters, laying the groundwork for a novel fusion index that integrates both metrics to assess structural damage extent. In order to quantify the impact of uncertainty information on the results of damage identification processes, a non-probabilistic structural damage identification method rooted in the collocation methodology is proposed in this study. In consideration of computational efficiency, a two-step damage identification strategy encompassing localization and quantification is proposed. Initially, damage localization is achieved through the dynamic fingerprints, followed by the quantification of the uncertainty of damage extent. The proposed methodology is validated through a detailed numerical example, illustrating that the fusion index outperforms individual indices in terms of accuracy and computational efficiency. The non-probabilistic structural damage identification method based on collocation methodology can identify the damage extent and uncertainty interval even under the influence of uncertain factors.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 7","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143786701","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

An X-FFT Solver for Two-Dimensional Thermal Homogenization Problems 二维热均质化问题的 X-FFT 求解器

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-03 DOI: 10.1002/nme.70022

Flavia Gehrig, Matti Schneider

引用次数: 0

Plastic-Damage Thin-Layer Element Model for Seismic Failure Analysis of Concrete Dams

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-02 DOI: 10.1002/nme.70030

Yi-Xiang Qiu, Tian-Yu Zhou, Jin-Ting Wang, Jian-Wen Pan, Chu-Han Zhang

{"title":"Plastic-Damage Thin-Layer Element Model for Seismic Failure Analysis of Concrete Dams","authors":"Yi-Xiang Qiu, Tian-Yu Zhou, Jin-Ting Wang, Jian-Wen Pan, Chu-Han Zhang","doi":"10.1002/nme.70030","DOIUrl":"https://doi.org/10.1002/nme.70030","url":null,"abstract":"<div>\u0000 \u0000 <p>Finite element methods based on the small deformation assumption have been widely used in the seismic response analysis of concrete dams. However, these methods are not effective in simulating the entire process of concrete dams transitioning from small deformation damage cracking to larger deformation collapse under extreme earthquake events. This paper proposes a plastic-damage thin-layer element model for analyzing large deformation failure of concrete dams under strong earthquakes. Using the equivalence principles, the smeared crack model is equivalently transformed into a layered separation format, which can consider both small and large deformations. Numerical verification through single thin-layer elements and Petersson's three-point bending beam demonstrates that the proposed model can comprehensively consider plastic deformation, damage, and stiffness changes in concrete. Furthermore, the seismic failure process of Koyna gravity dam is simulated using the proposed plastic-damage thin-layer element method. The results show that this model can realistically simulate the entire process from initial cracking to ultimate failure in concrete dams.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 7","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749857","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Deep Material Networks for Fiber Suspensions With Infinite Material Contrast

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-02 DOI: 10.1002/nme.70014

Benedikt Sterr, Sebastian Gajek, Andrew Hrymak, Matti Schneider, Thomas Böhlke

{"title":"Deep Material Networks for Fiber Suspensions With Infinite Material Contrast","authors":"Benedikt Sterr, Sebastian Gajek, Andrew Hrymak, Matti Schneider, Thomas Böhlke","doi":"10.1002/nme.70014","DOIUrl":"https://doi.org/10.1002/nme.70014","url":null,"abstract":"<p>We extend the laminate based framework of direct deep material networks (DMNs) to treat suspensions of rigid fibers in a non-Newtonian solvent. To do so, we derive two-phase homogenization blocks that are capable of treating incompressible fluid phases and infinite material contrast. In particular, we leverage existing results for linear elastic laminates to identify closed form expressions for the linear homogenization functions of two-phase layered emulsions. To treat infinite material contrast, we rely on the repeated layering of two-phase layered emulsions in the form of coated layered materials. We derive necessary and sufficient conditions which ensure that the effective properties of coated layered materials with incompressible phases are non-singular, even if one of the phases is rigid. With the derived homogenization blocks and non-singularity conditions at hand, we present a novel DMN architecture, which we name the flexible DMN (FDMN) architecture. We build and train FDMNs to predict the effective stress response of shear-thinning fiber suspensions with a Cross-type matrix material. For 31 fiber orientation states, six load cases, and over a wide range of shear rates relevant to engineering processes, the FDMNs achieve validation errors below 4.31% when compared to direct numerical simulations with fast-Fourier-transform based computational techniques. Compared to a conventional machine learning approach introduced previously by the consortium of authors, FDMNs offer better accuracy at an increased computational cost for the considered material and flow scenarios.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 7","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70014","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749856","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Normalized Field Product Approach: A Parameter-Free Density Evaluation Method for Close-To-Binary Solutions in Topology Optimization With Embedded Length Scale

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-04-02 DOI: 10.1002/nme.7673

Nikhil Singh, Prabhat Kumar, Anupam Saxena

{"title":"Normalized Field Product Approach: A Parameter-Free Density Evaluation Method for Close-To-Binary Solutions in Topology Optimization With Embedded Length Scale","authors":"Nikhil Singh, Prabhat Kumar, Anupam Saxena","doi":"10.1002/nme.7673","DOIUrl":"https://doi.org/10.1002/nme.7673","url":null,"abstract":"<div>\u0000 \u0000 <p>This article provides a normalized field product approach for topology optimization to achieve close-to-binary optimal designs. The method uses a parameter-free density measure that enforces a specified minimum length scale on the solid phase, ensuring smooth and transition-free topologies. The density evaluation does not rely on weight functions; however, the associated density functions are required to confined between 0 and 1. The method combines the SIMP scheme with the introduced density function for material stiffness interpolation. The success and efficacy of the approach are demonstrated through the design of both two- and three-dimensional designs, including stiff structures and compliant mechanisms. The structure's compliance is minimized for the former, whereas the latter involves optimizing a multicriteria objective. The presented numerical examples consider different volume fractions, length scales, and density functions. The proposed method is also seamlessly extended with advanced elements for solving 3D problems. The optimized designs obtained are close to binary without any user intervention while satisfying the desired feature size on the solid phase.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 7","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143749858","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

On the Feasibility of Foundational Models for the Simulation of Physical Phenomena 论物理现象模拟基础模型的可行性

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-03-25 DOI: 10.1002/nme.70027

Alicia Tierz, Mikel M. Iparraguirre, Icíar Alfaro, David González, Francisco Chinesta, Elías Cueto

引用次数: 0

Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems 最优控制问题中受限机械系统的整体和交错求解策略

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-03-25 DOI: 10.1002/nme.70026

Ashutosh Bijalwan, Simeon Schneider, Peter Betsch, José J Muñoz

{"title":"Monolithic and Staggered Solution Strategies for Constrained Mechanical Systems in Optimal Control Problems","authors":"Ashutosh Bijalwan, Simeon Schneider, Peter Betsch, José J Muñoz","doi":"10.1002/nme.70026","DOIUrl":"https://doi.org/10.1002/nme.70026","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper deals with the optimal control of constrained mechanical systems, with potential additional kinematic constraints at the final time. Correspondingly, the equations of motion of the underlying mechanical system assume the form of differential-algebraic equations with end constraints. The proposed discretisation of the optimality conditions yields a scheme which is capable of preserving control angular momentum maps resulting from the rotational symmetry of the underlying optimal control problem. The numerical solution of the discretised system is first tested with two solution strategies: Monolithic and staggered approaches, and then also solved with hybrid approaches, which combine salient features of each individual strategy. The monolithic strategy solves all the optimality conditions for all time steps as a single system of non-linear equations and relies on a Newton-Raphson scheme, which guarantees quadratic rates of convergence in the vicinity of the optimal solution trajectory. The staggered strategy is based on the Forward-Backward Sweep Method (FBSM), where state and adjoint equations are solved separately, and the control equations provide an update of the control variables, which we here achieve with also a Newton-Raphson scheme. The proposed hybrid strategies combine the advantages of a conventional gradient-based FBSM with the individual Newton-based solution procedures once the solution is close to the optimal trajectory. The strategies are developed and compared through three representative numerical examples, which show that all schemes yield very similar solutions. However, the hybrid approaches become more advantageous in the computation time when the time-step decreases or the size of the problem increases.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143689757","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Direct Load-Carrying Boundary Identification-Based Topology Optimization Method for Structures With Design-Dependent Boundary Load

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-03-25 DOI: 10.1002/nme.70010

Boyuan Fan, Huixin Huang, Jingyu Hu, Shutian Liu

{"title":"Direct Load-Carrying Boundary Identification-Based Topology Optimization Method for Structures With Design-Dependent Boundary Load","authors":"Boyuan Fan, Huixin Huang, Jingyu Hu, Shutian Liu","doi":"10.1002/nme.70010","DOIUrl":"https://doi.org/10.1002/nme.70010","url":null,"abstract":"<div>\u0000 \u0000 <p>During topology optimization with design-dependent boundary load, updating the load conditions is necessary. However, it is challenging to identify the load-carrying boundary in density-based topology optimization frame. To address this issue, a direct load-carrying boundary identification method is proposed to describe and update the design-dependent boundary load, and a topology optimization method for structures with design-dependent boundary load is presented. First, a Flood Fill algorithm (FFA) based domain extension method is introduced to generate a new structure with a boundary equivalent to the load-carrying boundary of the original structure. Then, the erosion boundary identification method is applied to the new structure to identify the load-carrying boundary instead of the original structure. Finally, the load information (direction and magnitude) of the design-dependent boundary load is determined using a normalized gradient algorithm, which completes the update of the design-dependent boundary load. This method overcomes the difficulty of identifying the load-carrying boundary in density-based methods. The effectiveness of this method is demonstrated by several examples of minimum compliance (including 3D) and flexible mechanisms.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143689768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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

Concurrent Optimization of Structures and Anisotropic Materials for Mechanical Cloaking

IF 2.7 3区工程技术

International Journal for Numerical Methods in Engineering Pub Date : 2025-03-25 DOI: 10.1002/nme.70028

Yifu Lu, Liyong Tong

{"title":"Concurrent Optimization of Structures and Anisotropic Materials for Mechanical Cloaking","authors":"Yifu Lu, Liyong Tong","doi":"10.1002/nme.70028","DOIUrl":"https://doi.org/10.1002/nme.70028","url":null,"abstract":"<p>This paper studies the concurrent optimization of structural topologies and material properties for mechanical cloaking problems, in which the macrostructures, microstructures, and novel spatially-varying microstructure orientations of the cloaking devices are simultaneously considered and form a multiscale topology optimization problem. In this work, we (1) propose a new element-based objective function for mechanical cloaking; (2) establish generic mathematical formulations to model the multiscale optimization problem, including a novel mathematical relation between the original objective function and material microstructures, and implement the formulated optimization problem via an extended moving iso-surface threshold (MIST) method; (3) investigate the concurrent optimization of the macrostructure and material microstructures and orientations; (4) propose a novel analytical method derived for fully anisotropic materials to compute the optimal material orientations. Benchmark numerical examples are investigated to validate the proposed method. The present numerical results show that the proposed method can improve the cloaking performance by up to 26.25% compared with the literature.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 6","pages":""},"PeriodicalIF":2.7,"publicationDate":"2025-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70028","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143689767","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0