International Journal for Numerical Methods in Engineering最新文献

{"title":"Mortar Method With Interpolative Mapping Displacement for Nonmatching Mesh Problems","authors":"Joon-Young Kim,&nbsp;Byung-Chai Lee,&nbsp;Jae-Hoon Choi,&nbsp;Gi-Dong Sim","doi":"10.1002/nme.70419","DOIUrl":"https://doi.org/10.1002/nme.70419","url":null,"abstract":"<p>In this paper, an interpolative mapping mortar method (IM-mortar) is proposed for nonmatching finite element meshes. Displacement continuity is enforced weakly using a Lagrange multiplier field. An intermediate frame is introduced, on which the interface displacement field is reconstructed from the adjoining bodies through interpolative mapping. All interface integrals are then evaluated on the frame mesh, avoiding direct integration over element-to-element overlap regions. The proposed method satisfies patch tests to machine precision for the regular configurations considered, whereas exact satisfaction of the patch test is not achieved for the distorted three-dimensional configuration. Nevertheless, approximately first-order convergence is observed under mesh refinement. The accuracy and computational performance of the proposed method are further examined through a series of numerical examples.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70419","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148942246","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 Peridynamic Fatigue Model for Thin-Shell Structures Based on Microbeam Bonds","authors":"Guozhe Shen,&nbsp;Wei Xiao,&nbsp;Guojun Zheng,&nbsp;Yang Xia","doi":"10.1002/nme.70416","DOIUrl":"https://doi.org/10.1002/nme.70416","url":null,"abstract":"<div>\u0000 \u0000 <p>Thin-shell structures subjected to cyclic loading exhibit strong coupling among in-plane and out-of-plane deformation modes, which renders fatigue life assessment particularly challenging. Existing peridynamic (PD) fatigue formulations predominantly account for fatigue damage driven by axial bond deformation and are therefore not well suited for thin-shell applications. To address this deficiency, this study introduces a microbeam bond-based PD shell fatigue model. By employing the bond energy release rate range as a unified scalar fatigue-driving parameter, the contributions of axial, bending, and torsional deformation modes are inherently incorporated without the need for empirical weighting factors. Building on this framework, phase-dependent evolution equations are developed separately for the crack initiation and crack propagation stages. The capability of the proposed approach to predict crack trajectories and fatigue life is demonstrated through several numerical examples, with particular emphasis on a cylindrical shell benchmark containing circumferential and inclined cracks, in which local bending and torsional deformations at the crack tip are strongly coupled. Moreover, comparison with a conventional axial deformation-driven PD fatigue model shows that neglecting bending and torsion leads to a substantial underestimation of the crack growth rate. These findings underscore the critical importance of accounting for coupled axial, bending, and torsional deformations and confirm the predictive capability and suitability of the proposed model for fatigue analysis of thin-shell structures subjected to multiaxial loading.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148942248","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":"Learning Nonlinear Responses in PET Bottle Buckling With a Hybrid DeepONet–Transolver Framework","authors":"Varun Kumar,&nbsp;Jing Bi,&nbsp;Cyril Ngo Ngoc,&nbsp;Victor Oancea,&nbsp;George Em Karniadakis","doi":"10.1002/nme.70420","DOIUrl":"https://doi.org/10.1002/nme.70420","url":null,"abstract":"&lt;div&gt;\u0000 \u0000 &lt;p&gt;Neural surrogates and operator networks for solving partial differential equation (PDE) problems have attracted significant research interest in recent years. However, most existing approaches are limited in their ability to generalize solutions across varying nonparametric geometric domains. In this work, we address this challenge in the context of polyethylene terephthalate (PET) bottle buckling analysis, a representative packaging design problem conventionally solved using computationally expensive finite element analysis (FEA). We introduce a hybrid DeepONet-Transolver framework that simultaneously predicts nodal displacement fields and the time evolution of reaction forces during top load compression. Our methodology is evaluated on two families of bottle geometries parameterized by two and four design variables. Training data is generated using nonlinear FEA simulations in Abaqus for 254 unique designs per family. The proposed framework achieves mean relative &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mi&gt;L&lt;/mi&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;2&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ {L}^2 $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt; errors ranging from 2.5% to 13% for displacement fields and approximately 2.4% for time-dependent reaction forces for the four-parameter bottle family. Point-wise error analyses further show absolute displacement errors on the order of &lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mn&gt;4&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ 1{0}^{-4} $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;–&lt;span&gt;&lt;/span&gt;&lt;math&gt;\u0000 &lt;semantics&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;1&lt;/mn&gt;\u0000 &lt;msup&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mn&gt;0&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;mrow&gt;\u0000 &lt;mo&gt;−&lt;/mo&gt;\u0000 &lt;mn&gt;3&lt;/mn&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;/msup&gt;\u0000 &lt;/mrow&gt;\u0000 &lt;annotation&gt;$$ 1{0}^{-3} $$&lt;/annotation&gt;\u0000 &lt;/semantics&gt;&lt;/math&gt;, with the largest discrepancies confined to localized geometric regions. Importantly, the model accurately captures key physical phenomena, such as buckling behavior, across diverse bottle geometries. These results highlight the potential of our framework as a scalable and computationally efficient surrogate, particularly for multitask predictions in computational mechanics and applications re","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148942005","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":"Maximum-Entropy-Based Meshless Modeling of Surface-Tension-Driven Large Deformation","authors":"Rodrigo Castillo-Acuna,&nbsp;Nicholas Gianotti,&nbsp;Dennis M. Kochmann","doi":"10.1002/nme.70406","DOIUrl":"https://doi.org/10.1002/nme.70406","url":null,"abstract":"<p>Soft material modeling is challenging due, among others, to the substantial structural changes these materials undergo. In this context, meshless methods offer a promising alternative to overcome the limitations of established mesh-based approximations such as finite elements. However, they introduce new challenges. One of these is the incorporation of surface effects, such as cohesive surface behavior or deformation induced by surface tension, which are important in soft materials such as hydrogels and biological tissues but remain difficult to account for in meshfree settings. In this work, we present and benchmark an enhanced local maximum-entropy (max-ent) framework for surface modeling, thereby extending max-ent to problems simultaneously involving surface tension and large deformation. We propose alternatives to identify boundary orientation in the presence of diffuse boundaries, consistently using 3D surface max-ent interpolants, and to prevent cross-coupling errors in irregular domains. We assess the performance of the framework by means of surface-tension-driven benchmarks involving strong volumetric contraction, near-incompressibility, and complex geometries. The results show that the proposed framework yields accurate and robust predictions under severe structural changes, making it a promising tool for the modeling of polymers and soft biological systems in applications involving surface tension, membrane permeability, traction and pressure loading, and interfacial chemical interactions.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70406","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148862321","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":"Development of Hamiltonian for Structural Applications by Quantum Annealing Assuming Finite Element Method","authors":"Rio Honda,&nbsp;Katsuhiro Endo,&nbsp;Yudai Suzuki,&nbsp;Yoshiki Matsuda,&nbsp;Shu Tanaka,&nbsp;Mayu Muramatsu","doi":"10.1002/nme.70414","DOIUrl":"https://doi.org/10.1002/nme.70414","url":null,"abstract":"<p>Quantum annealing is emerging as a practical tool for large-scale combinatorial optimization. We map continuum displacements and element densities to binary variables, turning both deformation analysis and topology optimization into quadratic unconstrained binary optimization (QUBO) problems that run on today's annealers. Two formulations are compared: one derived from the stiffness equation and another from the minimum total potential energy. Benchmarks show the energy-based QUBO matches finite-element displacements and stresses more closely and avoids the rapid term-count growth that slows the stiffness-based form. The numerical demonstrations reported here include deformation analysis of a 100-element plate model and topology optimization of cantilever beams discretized with up to 60 triangular elements or 32 rectangular elements. These examples are intended as proof-of-concept demonstrations under current hardware and encoding limitations rather than as large-scale industrial benchmarks. Leveraging this model, a single QUBO embedding density variables–implemented with combinatorial random-number sums and a quadratic volume penalty–yields two-dimensional beam layouts that are quantitatively compared with those obtained using the classical Optimality Criteria (OC) method.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70414","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148862322","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":"Mixed Convection Nanofluid Transport Over an Exponentially Stretching/Shrinking Surface With Convective Boundary Conditions: Stability and Sensitivity Analyses Under Thermo-Diffusion and Dissipation","authors":"Hemalatha Veedhuluri,&nbsp;Ramreddy Chetteti","doi":"10.1002/nme.70421","DOIUrl":"https://doi.org/10.1002/nme.70421","url":null,"abstract":"<div>\u0000 \u0000 <p>Mixed convection nanofluid flowing through stretching/shrinking permeable sheet has significant applications in numerous thermal devices such as heat exchangers, microfluidics, cooling of electronic devices, and materials processing. Nevertheless, the combined role of convective boundary conditions, thermo-diffusion, viscous dissipation, and flow stability in these configurations is still not well understood. In this work, the mixed convection flow with heat and mass transfer of water-based AA7075 nanofluid over an exponentially stretching/shrinking permeable surface is investigated. The buoyancy, external forces, and Soret effects are taken into consideration to incorporate the coupling between momentum, temperature, and concentration fields along with convective boundary conditions. The boundary layer equations are reduced to similarity equations and solved numerically by the MATLAB solver bvp4c. Nonunique solutions are found in specific ranges of suction/injection, stretching/shrinking, and mixed convection parameters. Linear temporal stability analysis is carried out by using an eigenvalue method to determine the physically feasible solution. In addition, response surface methodology is used to investigate the interaction of parameters and optimize the heat and mass transfer. The findings reveal that the nanoparticle volume fraction, viscous dissipation, buoyancy forces, and thermo-diffusion have significant effects on the flow behavior rates of heat and mass transfer. The present numerical, stability, and optimization framework provides useful insight for the design and operation of advanced nanofluid-based thermal systems.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 17","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148942247","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":"FengYu Cheng,&nbsp;Hao Yu,&nbsp;ChengSi Lyu,&nbsp;Bo Li,&nbsp;Quan Wang,&nbsp;Leong Hien Poh,&nbsp;HengAn Wu","doi":"10.1002/nme.70425","DOIUrl":"https://doi.org/10.1002/nme.70425","url":null,"abstract":"<p>The cover image is based on the article <i>A Self-Correcting Adaptive Remeshing Strategy for Three-Dimensional Phase-Field Fracture Simulation</i> by FengYu Cheng et al., https://doi.org/10.1002/nme.70402.\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":"127 16","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70425","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148849266","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":"Fully Coupled Electromagnetic-Thermal-Mechanical Model for Induction Heating of Thin Steel Sheets With the Presence of Thermal Buckling","authors":"Vladimir Filkin,&nbsp;Yury Vetyukov,&nbsp;Florian Toth","doi":"10.1002/nme.70410","DOIUrl":"https://doi.org/10.1002/nme.70410","url":null,"abstract":"<p>Large deformations can become an important issue in induction heating applications, especially for structures with low bending stiffness, such as thin sheets. In such cases, thermal expansion induces not only substantial in-plane stresses but also out-of-plane buckling, which in turn strongly influences the electromagnetic field configuration. This work presents a coupled modelling framework to analyse the post-buckling behaviour of thin sheets during induction heating. The approach combines a computationally efficient structural finite element shell formulation for the thin sheet with standard finite element continuum models for the eddy-current and thermal problems. The multi-physics interaction is resolved by an iterative coupling scheme with mesh updating, adaptive load stepping, and relaxation techniques to improve robustness near critical points. The framework is used to study the strongly nonlinear response of the system, including transcritical bifurcation behaviour, characterised by “snap-through” and “snap-back” effects. Representative application examples demonstrate the influence of geometric imperfections, electromagnetic material modelling, and electromagnetic forces on the post-buckling response. The results show that the proposed strategy provides a robust and efficient tool for analysing induction-heated thin structures with strong electromagnetic-thermal-mechanical coupling.</p>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 16","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/nme.70410","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148848586","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":"Topology Optimization of Snapping Structures With Convex Element Constraints for Tailored Mechanical Responses","authors":"Chongqing Wu,&nbsp;Li Ma","doi":"10.1002/nme.70409","DOIUrl":"https://doi.org/10.1002/nme.70409","url":null,"abstract":"<div>\u0000 \u0000 <p>The basic unit of snapping mechanical metamaterials is typically a bistable unit. This study proposes a systematic inverse design framework based on topology optimization for designing snapping structures with specific force-displacement response curves. Such problems involve large deformations and complex deformation modes, which often lead to numerical instability during the optimization process. The paper proposes two improvements to address these issues. In the nonlinear finite element analysis, an improved displacement-controlled arc-length method is proposed. The method effectively handles the snap-through and snap-back behaviors exhibited by the structure during loading in the topology optimization process, while simultaneously obtaining the deformed configuration of the structure under the prescribed displacement boundary condition. Furthermore, the paper introduces convex element constraints to constrain the deformation state of elements. This approach mitigates convergence issues caused by severe compressive deformations of the elements during nonlinear topology optimization. This work contributes to the design of snapping structures by providing a stable and effective optimization framework.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 16","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148784944","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":"Decomposition-Free Variational Quantum Eigensolvers for Natural Frequency Analysis in Structural Engineering","authors":"Yongchun Xu,&nbsp;Heng Hu","doi":"10.1002/nme.70412","DOIUrl":"https://doi.org/10.1002/nme.70412","url":null,"abstract":"<div>\u0000 \u0000 <p>The analysis of natural frequency is an important problem of structural engineering, where complex structures often lead to expensive eigenvalue problems. Variational quantum eigensolvers provide a potentially efficient solution by using quantum computing, but their application is limited by the costly need to decompose system matrices into a linear combination of unitaries. In this work, we apply a recently proposed decomposition-free method from linear systems to eigenvalue problems in structural engineering. Specifically, we develop two algorithms based on this method, the decomposition-free variational quantum eigensolver (DF-VQE) and generalized eigensolver (DF-VQGE) for the standard eigenvalue problems and the generalized eigenvalue problems, respectively. In these algorithms, the Rayleigh Quotient and generalized Rayleigh Quotient cost evaluations are reformulated so that the need for matrix decomposition is bypassed. The central technical step in this application is to use vectorization to encode the system matrices directly into quantum state vectors, allowing their properties to be computed via a standard swap test quantum circuit. The proposed methods are validated on a quantum simulator with three representative structural engineering problems, including a 1D bar, a 2D beam, and a 3D truss bridge, obtaining results that align well with reference solutions from classical finite element analysis. We also discuss the quantum state preparation challenge that must be addressed before this formulation can be connected to meaningful quantum advantage.</p>\u0000 </div>","PeriodicalId":13699,"journal":{"name":"International Journal for Numerical Methods in Engineering","volume":"127 16","pages":""},"PeriodicalIF":3.3,"publicationDate":"2026-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148784945","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}