{"title":"A k-medoids-based partitioned method for computational homogenization of heterogeneous materials","authors":"Modesar Shakoor","doi":"10.1016/j.compstruc.2025.107875","DOIUrl":"10.1016/j.compstruc.2025.107875","url":null,"abstract":"<div><div>Although they are very interesting for structural simulations involving heterogeneous materials, Finite Element (FE) squared approaches, often coined FE<sup>2</sup>, are well-known to require great computational resources. The main challenge is that, for each integration point of the <em>coarse</em> structure, a so-called <em>fine</em> scale problem should be solved. In this work, a k-medoids-based partitioned FE<sup>2</sup> approach is proposed to directly tackle this challenge by effectively reducing the number of fine scale solves. At each coarse scale nonlinear iteration, coarse scale integration points are partitioned <em>a priori</em> based on the current coarse scale displacement gradient and fine scale internal variables using the k-medoids-based clustering algorithm. Stresses and tangent moduli are computed only for cluster medoids, and are then extended to the remaining non-medoid coarse scale integration points. Results with nonlinear material behavior such as hyperelasticity and elasto-plasticity show that the proposed method is a promising candidate for reducing the computational cost of FE<sup>2</sup> simulations.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107875"},"PeriodicalIF":4.4,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144365805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Development of a coupled matrix-free LU-SGS solver for hypersonic laminar diatomic gas flows with decoupled vibrational energy mode","authors":"Adam Tater , Jiří Holman","doi":"10.1016/j.compstruc.2025.107864","DOIUrl":"10.1016/j.compstruc.2025.107864","url":null,"abstract":"<div><div>This study presents a newly developed implicit solver for steady-state, thermally non-equilibrium, hypersonic laminar diatomic gas flows. The algorithm focuses on cases where the gas is highly vibrationally excited, necessitating the consideration of decoupled internal energy modes. This phenomenon is modeled using the Navier–Stokes equations, along with an additional transport equation for vibrational energy. Implemented within the OpenFOAM framework, the solver employs the finite volume method with an approximate HLLC Riemann solver, enhanced with a low-Mach correction. Furthermore, limited piecewise linear reconstructions are used for convective fluxes, while viscous fluxes are approximated using a central scheme. Time marching is performed using the first-order backward differentiation formula. The resulting equations are solved using a matrix-free lower-upper symmetric Gauss–Seidel scheme, enabling efficient simulations with a low memory footprint. The developed solver is applied to solve two distinct axisymmetric hypersonic flow problems: hollow-cylinder-flare and double-cone flows, both computed for two different sets of free-stream and wall conditions. The results are compared with experimental data and those obtained from equilibrium simulations. Finally, a comparison with a well-known explicit non-equilibrium solver and simulation data from literature is provided, focusing on accuracy and performance.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107864"},"PeriodicalIF":4.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144364558","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Giacomo Bonaccorsi , Matteo Pozzi , Jaeyub Hyun , Hyunsun Alicia Kim , Francesco Braghin
{"title":"Connectivity constraints for eigenvalue reduction in level-set topology optimization","authors":"Giacomo Bonaccorsi , Matteo Pozzi , Jaeyub Hyun , Hyunsun Alicia Kim , Francesco Braghin","doi":"10.1016/j.compstruc.2025.107865","DOIUrl":"10.1016/j.compstruc.2025.107865","url":null,"abstract":"<div><div>Eigenvalue problems play a fundamental role in structural dynamics and engineering design, with topology optimization offering powerful tools for achieving superior performance. While most research has focused on eigenvalue maximization, only a few studies have explored eigenvalue assignment or reduction. This work investigates the challenges associated with eigenfrequency minimization in level-set topology optimization, highlighting the risk of infeasible or fragmented designs. To overcome these issues, we propose a formulation that integrates connectivity constraints to preserve structural integrity, thereby addressing an inherent limitation of eigenfrequency reduction. A comparative analysis of eigenfrequency minimization and maximization is presented, emphasizing the role of the ersatz material interpolation scheme and the impact of constraint enforcement. The proposed methodology is demonstrated through numerical examples, illustrating its effectiveness in achieving feasible layouts and highlighting its potential applications across a wide class of structural dynamics problems.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107865"},"PeriodicalIF":4.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144364557","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zi-Hang Dai , Yan-Rui Du , Dan Xu , Zhong-Yuan Chen
{"title":"Calculations of internal forces and rational reinforcement of raft foundation resting on Kerr-equivalent Pasternak ground","authors":"Zi-Hang Dai , Yan-Rui Du , Dan Xu , Zhong-Yuan Chen","doi":"10.1016/j.compstruc.2025.107835","DOIUrl":"10.1016/j.compstruc.2025.107835","url":null,"abstract":"<div><div>Currently, the internal forces of raft foundations are generally calculated by the rigid strip method without considering the soil-structure interaction. To overcome the problem, the elastic foundation plate method arose, but most applications are based on the single-parameter Winkler foundation model. Recently, Worku and Seid proposed a Kerr-equivalent Pasternak two-parameter foundation model that belongs to the continuum model and possesses the same precision as the solid finite-element model. While the authors found that their two parameters formulations are inacurrate. For that, two calibration factors were introduced. Based on the soil’s deformation modulus determined by the plate load test, the approach to accurately determining the two parameters was obtained. The finite-difference method was established, and the corresponding program was developed by using Matlab. The application of the Pasternak model in the design calculation of a practical raft foundation was given for the first time. The results agreed well with those of the finite-element method, which validated the reliability. The rebar configuration according to the internal forces computed by the proposed method is more reliable than that of the existing method. As a result, the proposed method can prominently enhance the reliability in computing the internal forces and reinforcement of raft foundations.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107835"},"PeriodicalIF":4.4,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144364556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gengyan Zhao , Peisen Xu , Xiangtao Ma , Bo Wang , Weifeng Luo , Yuefang Wang
{"title":"Accelerated dynamics model updating method based on multigrid reduced-order technique","authors":"Gengyan Zhao , Peisen Xu , Xiangtao Ma , Bo Wang , Weifeng Luo , Yuefang Wang","doi":"10.1016/j.compstruc.2025.107866","DOIUrl":"10.1016/j.compstruc.2025.107866","url":null,"abstract":"<div><div>Discrepancies between finite element models and the dynamic characteristics of real structures are common and often stem from various uncertainties and assumptions. These include simplifications, manufacturing inaccuracies, and material approximations. To enhance the accuracy of dynamic model predictions, finite element models are typically updated using experimental data. This paper introduces an accelerated dynamics model updating method based on a multigrid reduced-order technique. A comprehensive sensitivity analysis is conducted to classify model parameters, thereby reducing the number of parameters involved in the optimization process. By integrating experimental data from modal analysis and frequency response functions (FRFs), the finite element model is updated to better reflect the actual dynamic behavior. Additionally, the multigrid reduced-order technique significantly enhances the computational efficiency of the FRF during the optimization procedure. The proposed model updating approach is validated through simulations of the GARTEUR aircraft model and cantilever vibration experiments. The results demonstrate that the proposed method effectively improves the accuracy of the dynamic model, achieving an efficiency improvement of approximately two orders of magnitude compared to traditional full-order frequency response-based dynamic model updating approaches.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107866"},"PeriodicalIF":4.4,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144329785","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Duojia Shi , Jiaxin Lei , Tao Lu , Pengzhan Liu , Xin Gao , Caiyou Zhao , Bing Feng Ng , Ping Wang
{"title":"Deep belief network-augmented adaptive direct simulation Monte Carlo for performance prediction of particle dampers","authors":"Duojia Shi , Jiaxin Lei , Tao Lu , Pengzhan Liu , Xin Gao , Caiyou Zhao , Bing Feng Ng , Ping Wang","doi":"10.1016/j.compstruc.2025.107873","DOIUrl":"10.1016/j.compstruc.2025.107873","url":null,"abstract":"<div><div>Particle damping technology has been extensively utilized in aerospace, mechanical, and civil engineering fields due to its high energy dissipation efficiency, wide frequency adaptability, and robust performance under severe conditions. However, its complex nonlinear dynamic characteristics make traditional discrete element methods challenging in balancing computational efficiency and accuracy. To address this issue, this study proposes a direct simulation Monte Carlo method incorporating an adaptive stochastic collision handling algorithm and a partitioned network simulation framework. These enhancements substantially improve the computational efficiency and accuracy of particle dampers in high-density systems. Building upon this foundation, a simulation data-driven prediction framework is developed by integrating deep belief networks and their optimized variants to efficiently evaluate the performance of particle dampers and analyze the influence of key parameters on the vibration reduction effects. The obtained results reveal that several vital factors, including shell stiffness, damping, particle quantity, particle size, and excitation frequency, significantly affect the performance of particle damping. Furthermore, optimizing particle parameters and implementing high-frequency excitation conditions can substantially enhance the effectiveness of the vibration control. In addition, the whale optimization algorithm-deep belief network model exhibits superior performance in prediction accuracy, generalization ability, and computational efficiency, providing strong support for the rapid optimization design of complex nonlinear systems.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107873"},"PeriodicalIF":4.4,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144313760","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 novel and general reduced-order method for nonlinear thermoelastic analysis considering temperature-dependent composite materials","authors":"Zheng Li , Ke Liang","doi":"10.1016/j.compstruc.2025.107869","DOIUrl":"10.1016/j.compstruc.2025.107869","url":null,"abstract":"<div><div>The Koiter–Newton method has been developed to significantly reduce the computational cost of nonlinear thermoelastic buckling analysis of thin-walled structures subjected to a constant initial temperature field. Although the temperature-dependent material properties can be considered by analytically stripping the thermal effect from equilibrium equations, it is only applicable to isotropic materials and does not work for composite materials. This work proposes a novel and general reduced-order finite element framework for nonlinear thermoelastic buckling analysis in the Koiter–Newton method, which can consider temperature-dependent orthotropic composite materials. During the construction of the reduced-order model, the main obstacle for the nonlinear thermoelastic analysis considering temperature-dependent materials is the strain energy nonlinearity with respect to the temperature variation. This obstacle is addressed by expanding the equilibrium conditions with respect to both the displacement field and temperature variation. The displacement and force spaces are projected into the subspace which is represented using the generalized displacement and temperature variation. Nine sets of linear systems of equations can be obtained by equating the coefficients of various powers of the generalized displacement and temperature variation. A thermal–mechanical reduced-order model is constructed by solving the nine sets of linear systems of equations. Four different thermal–mechanical coupling cases can be easily considered in the reduced system. The accuracy and efficiency of the proposed reduced-order method are demonstrated through six numerical examples.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107869"},"PeriodicalIF":4.4,"publicationDate":"2025-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144313759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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 discrete geometry-based optimization model for coupling topology and nodal coordinates in biorthogonal tensegrity structures","authors":"Shaoxiong Huang , Yafeng Wang , Xian Xu","doi":"10.1016/j.compstruc.2025.107863","DOIUrl":"10.1016/j.compstruc.2025.107863","url":null,"abstract":"<div><div>Tensegrity is a lightweight and efficient structural system that intimately combines force and form. Existing optimization models coupling topology and nodal coordinates are limited to the design of smaller-scale structures, which imposes higher demands on the designer’s experience and restricts the development of free-form tensegrity designs. A discrete geometry-based optimization model of biorthogonal tensegrity structure coupling topology and nodal position is proposed in this study. By utilizing graph theory, we unify the design of rectangular, annular, and sector extension structures into a single framework. By discretizing curves and surfaces, the nodal constraints are liberated from explicit mathematical expressions, offering designers the freedom to create tensegrity structures of any shape or even simple sketches. This approach significantly reduces the computational complexity of mixed-integer nonlinear programming models, broadening their application in tensegrity design. Furthermore, equilibrium equations based on the force density method are derived to account for rigid body effects, which extends the applicability of the coupled topology and nodal coordinate optimization model. The numerical examples provided validate the effectiveness of the proposed model.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107863"},"PeriodicalIF":4.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144313758","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Automated elasto-plastic design of truss structures based on residual plastic deformations using a geometrical nonlinear optimization framework","authors":"Péter Grubits, Majid Movahedi Rad","doi":"10.1016/j.compstruc.2025.107855","DOIUrl":"10.1016/j.compstruc.2025.107855","url":null,"abstract":"<div><div>This paper introduces a novel automated framework for the optimal design of steel truss structures, incorporating plastic deformations through the complementary strain energy of residual forces while minimizing weight. The presented methodology is equally applicable to purely elastic scenarios, ensuring zero plastic deformations and further reducing material usage. To achieve this, a nonlinear finite element (FE) program was developed, capable of accounting for large deformations and initial geometric imperfections. A genetic algorithm (GA) was integrated to iteratively optimize the objective function, enabling a fully automated design process. The efficiency and versatility of the framework were validated through four numerical examples. The first two comprise benchmark cases: a 9-bar planar truss and a 25-bar space truss. The remaining two examples were selected to be more representative of practical applications, involving a prestressed arched truss and a double-layer space truss. Analyses of various configurations were performed to demonstrate the robustness of the approach. Using the proposed methodology, significant improvements in plastic performance and material efficiency were achieved, underscoring its potential, adaptability, and effectiveness in advancing truss design techniques.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107855"},"PeriodicalIF":4.4,"publicationDate":"2025-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144306844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Establishment of a 3D numerical ice tank and its applications to ice–water–structure interactions based on a multi-resolution SPH-PD coupled method","authors":"Guang-Qi Liang , Peng-Nan Sun , Hong-Guan Lyu , Gui-Yong Zhang","doi":"10.1016/j.compstruc.2025.107862","DOIUrl":"10.1016/j.compstruc.2025.107862","url":null,"abstract":"<div><div>IWSI (Ice–Water–Structure Interaction) has consistently held significant importance in ocean engineering. In this work, a 3D numerical ice tank is constructed based on the SPH (Smoothed Particle Hydrodynamics) and PD (Peridynamics) methods as an effective supplement to the physical modeling test to investigate IWSI. The dynamic flow of fluid and the dynamic response of the solid are modeled by SPH and PD, respectively. In terms of spatial multi-resolution coupling, this solver considers particles of different sizes, combining structure-fine particles and fluid-coarse particle interactions, which can model particular physical coupling at multiple scales. As for the temporal multi-resolution coupling, the MSS (Modified Sequential Staggered) algorithm is utilized to reduce the computational cost and improve efficiency. The fluid, structure, and coupled solvers are respectively validated. Several IWSI problems are investigated and this study successfully predicts ice loads and the initiation and propagation of cracks in ice plates. The present study not only develops an accurate numerical model featuring multi-scale physical couplings but also identifies the underlying principles governing ice fracturing mechanisms under dynamic impact in IWSI-related issues.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107862"},"PeriodicalIF":4.4,"publicationDate":"2025-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144306886","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}