International Journal for Numerical Methods in Engineering最新文献

{"title":"A Hierarchical Quadrature Element Formulation for Fracture Parameter Evaluation in Thermoelastic Crack Problems","authors":"Xing Luo,&nbsp;Wei Xiang","doi":"10.1002/nme.70138","DOIUrl":"https://doi.org/10.1002/nme.70138","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper introduces a novel computational framework for modeling complex thermo-mechanical fracture behavior. A high-order element formulation is established on the basis of the hierarchical quadrature element method (HQEM) to perform spatial discretization of transient heat conduction problems. Due to the use of hierarchical, high-order shape functions, temperature gradients can be effectively captured even on relatively coarse meshes. The discretized transient heat conduction equation is subsequently solved using an implicit time integration scheme, specifically, the backward difference method. Numerical validation against the commercial software ABAQUS demonstrates the accuracy of the proposed approach in simulating heat transfer and predicting thermoelastic deformation fields under mixed thermal boundary conditions. Furthermore, HQEM is integrated with the virtual crack closure method (VCCM) for the evaluation of fracture parameters in two-dimensional cracked structures subjected to coupled thermo-mechanical loadings. Within the VCCM framework, a unified explicit expression of the virtual crack closure integral is derived for HQEM with arbitrary nodal configurations. The integration of HQEM with VCCM significantly reduces mesh refinement requirements and preprocessing effort compared to conventional FEM. Case studies confirm that the integrated HQEM–VCCM approach yields accurate solutions for fracture parameters of cracked structures under coupled thermo-mechanical conditions.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101839","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}

{"title":"Consensus in Preference-Based Conflict Situations","authors":"Rafał Deja,&nbsp;Małgorzata Przybyła-Kasperek","doi":"10.1002/nme.70134","DOIUrl":"https://doi.org/10.1002/nme.70134","url":null,"abstract":"<div>\u0000 \u0000 <p>This article follows a preference-based conflict situations model that extends the rough set approach to agents' preferences on issues gathered via pair-wise comparisons. The study focuses on defining and examining various types of consensus within this model, addressing strict and more relaxed disagreements. The consensus problem is then explored at the coalition level. The key properties and quantitative measures for evaluating consensus quality are discussed. Finally, the negotiation process is investigated. The first approach is based on the expanding range of preferences derived from different definitions of consensus, and the second is focusing on issues position adjustment in order-based conflict situation. Using examples, including a medical case with multiple specialists, the paper demonstrates the practical utility of the methods. In general, this work improves the understanding of preference-based conflicts and the possibility of consensus, contributing to more effective decision-making processes.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101770","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}

{"title":"Featured Cover","authors":"Wei-Zhi Luo,&nbsp;Chao Wang,&nbsp;Mu He,&nbsp;Liang Xia","doi":"10.1002/nme.70133","DOIUrl":"https://doi.org/10.1002/nme.70133","url":null,"abstract":"<p>The cover image is based on the article <i>Topology Optimization of Load-Bearable Phononic Crystals</i> Mu He et al., https://doi.org/10.1002/nme.70114.\u0000\u0000\u0000 <figure>\u0000 <div><picture>\u0000 <source></source></picture><p></p>\u0000 </div>\u0000 </figure></p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 16","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70133","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101432","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}

{"title":"Robust and Efficient FFT-Based Solvers for Unit-Cell Problems With Voids and Pores Under Displacement Boundary Conditions","authors":"Lennart Risthaus,&nbsp;Matti Schneider","doi":"10.1002/nme.70124","DOIUrl":"https://doi.org/10.1002/nme.70124","url":null,"abstract":"<p>There is a variety of microstructured materials that involve voids and pores, for example, high-porosity foams, mechanical metamaterials, or composites involving defects due to damage and cracking, respectively. Computational methods based on the fast Fourier transform (FFT) typically face convergence problems for such microstructures unless specific discretizations are used, most prominently the discretization on the staggered grid. FFT-based methods were originally developed for periodic boundary conditions, and recent work provided extensions to Dirichlet and Neumann boundary conditions on the unit cube faces by utilizing dedicated sine and cosine series. Unfortunately, such approaches were only developed for discretizations that fail to converge for complex porous microstructures. The article at hand closes this gap by constructing the appropriate Eshelby-Green operator for the displacement gradient associated with the staggered grid discretization and Dirichlet boundary conditions. The eponymous staggering of the displacement variables infers certain challenges to be resolved, that is, the construction is significantly more difficult than for the cases discussed in the literature. However, our innovative techniques permit treating the class of microporous materials—which have a wide range of applicability—in a robust and efficient way. We showcase the superiority of the novel techniques via dedicated computational experiments.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70124","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101502","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}

{"title":"Least-Squares Projected Models for Non-Intrusive Affinization of Reduced Basis Methods","authors":"E. Fonn,&nbsp;H. v. Brummelen,&nbsp;J. L. Eftang,&nbsp;T. Rusten,&nbsp;K. A. Johannessen,&nbsp;T. Kvamsdal,&nbsp;A. Rasheed","doi":"10.1002/nme.70127","DOIUrl":"https://doi.org/10.1002/nme.70127","url":null,"abstract":"<p>Reduced-basis methods (RBMs) constitute a promising technique for delivering numerical solutions of parameterized PDEs in real time and with reasonable accuracy. The most significant drawback of RBMs is the requirement of parametric affinity, a condition that only very trivial problems satisfy. Without parametric affinity, the reduced model cannot be quickly assembled in the online stage. The most common solution to this issue is to establish a form of approximate parametric affinity. However, most methods for doing so are highly intrusive: they require in-depth expert knowledge of the problem to be solved, of the high-fidelity simulation software for solving it, or both. It is often impossible to adapt a high-fidelity software package for RBMs without significant source-code edits. We present an approach for approximate affinization based on least-squares projected quantities over a predetermined function space. We contend that this offers a method for affinization with minimal impact, which we demonstrate by producing linear elastic RBMs for components using two widely different simulation software packages, without source code edits and with no significant expert knowledge.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70127","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101501","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}

{"title":"Smoothed Total Lagrangian Material Point Method for Dynamic Large Deformation Analysis of Soft Materials","authors":"Shun Zhang,&nbsp;Cunliang Pan,&nbsp;Zhijie Zhu,&nbsp;Wei Sun,&nbsp;Hongfei Ye,&nbsp;Yonggang Zheng","doi":"10.1002/nme.70132","DOIUrl":"https://doi.org/10.1002/nme.70132","url":null,"abstract":"<div>\u0000 \u0000 <p>A smoothed total Lagrangian material point method (STLMPM) is developed in this study to effectively simulate dynamic problems involving large deformation in nearly incompressible soft materials. In this method, the governing equations are spatially discretized within the framework of the total Lagrangian material point method (TLMPM) and temporally discretized using an explicit time integration scheme. To address the issue of decreased computational accuracy of the material point method (MPM) near physical domain boundaries, a Gaussian kernel function with kernel correction is employed to establish the interpolation formulas between particles and the background grid. Furthermore, to mitigate volumetric locking caused by the nearly incompressible nature of soft materials, the <b>F</b>-bar method is further developed within the framework of TLMPM. The accuracy and efficiency of the proposed STLMPM are demonstrated by several representative numerical examples, and the simulation results are compared with analytical solutions and other numerical methods.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145101535","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}

{"title":"Time Homogenization: Tire Overruns Skip Method for Thermo-Mechanical Analysis of Long-Term Pavement Performance Under Repeated Traffic Loads","authors":"Ahmad Chihadeh,&nbsp;Michael Kaliske","doi":"10.1002/nme.70131","DOIUrl":"https://doi.org/10.1002/nme.70131","url":null,"abstract":"<p>The long-term performance of pavement structures is influenced by the combined effects of repeated traffic loads and environmental conditions, such as temperature variations. Traditional numerical approaches face significant challenges in simulating the decades-long lifespan of pavements due to the vast disparity between the time scales of individual loading events and the overall lifespan. This paper presents a novel framework for the thermo-mechanical analysis of pavement structures, based on a time homogenization technique to efficiently predict long-term performance. An Arbitrary Lagrangian-Eulerian (ALE) formulation is employed to simulate the mechanical response of pavements to consecutive tire overruns, while a thermo-mechanical material model accounts for the effects of temperature variations. A key innovation is the treatment of history variables (HVs). The framework incorporates both spatial and temporal mapping of HVs, enabling the extrapolation of material behavior when the evolution rate of HVs stabilizes. This allows for the skipping of computationally expensive tire overruns, significantly reducing simulation time without compromising accuracy. Numerical examples demonstrate the framework's ability to predict the long-term response of pavement structures under realistic traffic and thermal conditions.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70131","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145038281","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}

{"title":"A Framework for Nonlinearly-Constrained Gradient-Enhanced Local Bayesian Optimization With Comparisons to Quasi-Newton Optimizers","authors":"André L. Marchildon,&nbsp;David W. Zingg","doi":"10.1002/nme.70118","DOIUrl":"https://doi.org/10.1002/nme.70118","url":null,"abstract":"<p>Bayesian optimization is a popular and versatile approach that is well suited to solve challenging optimization problems. Their popularity comes from their effective minimization of expensive function evaluations, their capability to leverage gradients, and their efficient use of noisy data. Bayesian optimizers have commonly been applied to global unconstrained problems, with limited development for many other classes of problems. In this article, two alternative methods are developed that enable rapid and deep convergence of nonlinearly-constrained local optimization problems using a Bayesian optimizer. The first method uses an exact augmented Lagrangian and the second augments the minimization of the acquisition function to contain additional constraints. Both of these methods can be applied to nonlinear equality constraints, unlike most previous methods developed for constrained Bayesian optimizers. The new methods are applied with a gradient-enhanced Bayesian optimizer and enable deeper convergence for three nonlinearly-constrained unimodal optimization problems than previously developed methods for constrained Bayesian optimization. In addition, both new methods enable the Bayesian optimizer to reach a desired tolerance with fewer function evaluations than popular quasi-Newton optimizers from SciPy and MATLAB for unimodal problems with 2 to 30 variables. The Bayesian optimizer had similar results using both methods. It is recommended that users first try using the second method, which adds constraints to the acquisition function minimization, since its parameters are more intuitive to tune for new problems.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70118","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145038071","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}

{"title":"Fatigue Life Analysis of Cranes Based on Load Spectrum Prediction and Fracture Mechanics","authors":"Mantang Hu,&nbsp;Huanlin Chen","doi":"10.1002/nme.70129","DOIUrl":"https://doi.org/10.1002/nme.70129","url":null,"abstract":"<div>\u0000 \u0000 <p>A residual fatigue life analysis method based on load spectrum prediction and fracture mechanics has been proposed. In this method, a crane load sequence prediction strategy based on convolutional neural network (CNN) and bidirectional long short-term memory (BiLSTM) network is proposed to solve the problem of difficulty in obtaining accurate load spectra due to uncertain loads during the operation process in engineering practice. Moreover, a method for calculating the remaining fatigue life of structures based on a combination of fracture mechanics and sequential methods has been proposed. Compared with the linear cumulative damage theory, the influence of structural crack size and external load sequence effects on structural fatigue life is considered. In addition, the remaining fatigue life of the crane girder structure was analyzed using the above method, and the accuracy of the proposed method was verified through comparative analysis.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 18","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145038072","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}

{"title":"A Quasi Energy and Momentum Conservative Algorithm Implemented With a Co-Rotational Quadrilateral Shell Element Formulation Using Vectorial Rotational Variables","authors":"Zhongxue Li,&nbsp;Xunda Lin,&nbsp;Loc Vu-Quoc,&nbsp;Bassam A. Izzuddin,&nbsp;Haoyan Wei,&nbsp;Jin Xu,&nbsp;Hongtao Qian,&nbsp;Xin Zhuo","doi":"10.1002/nme.70128","DOIUrl":"https://doi.org/10.1002/nme.70128","url":null,"abstract":"<div>\u0000 \u0000 <p>This paper proposes a flexible multi-body dynamics approach for elastic smooth and non-smooth shells undergoing large deformations and large overall motions. The formulation is based on a co-rotational curved quadrilateral shell element employing vectorial rotational variables and a quasi energy and momentum conservation algorithm. Hamilton's principle is adopted to derive the system's dynamic differential equations. When differentiating the kinetic energy functional with respect to time, the part involving the first-order differentiation of vectorial rotational variables with respect to time is integrated into an equivalent load vector, yielding a symmetric equivalent mass matrix. Accelerations, velocities, displacements, body, and surface loads of the generalized midpoints are generated by convex functions. The Newmark scheme is applied to transform the dynamic differential equations of the system into a set of nonlinear equations. Instead of using strains and their first/second derivatives with respect to local nodal variables at the midpoint configuration, the formulation employs time-averaged assumed strains (computed via the MITC method) and their corresponding derivatives evaluated at both ends of the time step for calculating the internal force vector and element tangent stiffness matrix in the local coordinate system. The transformation matrix from local to global coordinates, however, remains computed at the midpoint configuration. This approach ensures near-exact conservation of total energy and exact conservation of linear and angular momenta once the external loads vanish, while also yielding symmetric tangent stiffness matrices in both local and global coordinate systems. Finally, four examples of three smooth shells and one non-smooth shell problems subjected to impulse loads are solved to verify the proposed formulation for flexible multi-body dynamics of shells. It is shown that the results exhibit excellent agreement with those from other references, demonstrating the reliability, accuracy, and long-term stability of the proposed quasi energy and momentum conserving algorithm.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"126 17","pages":""},"PeriodicalIF":2.9,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145037997","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}