Computers & Structures最新文献

{"title":"Effect of non-dimensional length scale in element free Galerkin method for classical and strain driven nonlocal elasto-static problems","authors":"Akhil S.L. ,&nbsp;Krishna I.R. Praveen ,&nbsp;Aswathy M.","doi":"10.1016/j.compstruc.2025.107724","DOIUrl":"10.1016/j.compstruc.2025.107724","url":null,"abstract":"<div><div>Meshfree methods, such as the Element-Free Galerkin (EFG) Method, offer flexibility in approximating field variables and their derivatives through various tunable parameters. Non-dimensional length scale (<span><math><msub><mi>d</mi><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span>) is one such parameter which govern the size of local support domain. The extend of local support domain is a measure of nonlocality in the meshfree approximations. This inherent flexibility to adjust nonlocality by changing the value of <span><math><msub><mi>d</mi><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span> can be used for simulation of nonlocal elasticity problems using EFG method. This study formulates EFG method for one-dimensional nonlocal Euler–Bernoulli beams based on Eringen’s strain-driven nonlocal model. Numerical analyses are conducted on elasto-static problems in classical and strain-driven nonlocal Euler–Bernoulli beams with standard boundary conditions to evaluate the influence of the <span><math><msub><mi>d</mi><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span> in EFG method. The results provides a clear guidance for choosing value of <span><math><msub><mi>d</mi><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span> for accurate approximation of field variable and derivatives in classical and nonlocal elastic beam problems. For classical beams, the commonly accepted range of <span><math><msub><mi>d</mi><mrow><mi>m</mi><mi>a</mi><mi>x</mi></mrow></msub></math></span> between two and four fails to adequately ensure force and moment equilibrium at supports. Similar trends are observed in nonlocal analysis, where even larger local supports are necessary due to the complexity introduced by the nonlocal constitutive modeling. The challenge in enforcing boundary conditions is handled by a modified approach, combining scaled transformations and Lagrange multipliers. Constitutive boundary conditions of nonlocal beams required for the satisfaction of equilibrium requirements is effectively incorporated using this method.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"312 ","pages":"Article 107724"},"PeriodicalIF":4.4,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143600158","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":"Adaptive phase-field method with accelerated staggered scheme for early-age drying shrinkage fracture in concrete","authors":"Yifeng Nie ,&nbsp;Hirshikesh ,&nbsp;Tiantang Yu ,&nbsp;Weihua Fang ,&nbsp;Sundararajan Natarajan","doi":"10.1016/j.compstruc.2025.107726","DOIUrl":"10.1016/j.compstruc.2025.107726","url":null,"abstract":"<div><div>Cracks can nucleate in cement-based materials at an early age due to autogenous and drying shrinkage, as well as thermal stress, which significantly affects the structure’s lifespan. This paper presents an efficient numerical framework based on an adaptive regularized phase-field cohesive-zone model to numerically simulate the mutual interactions between the hydration process, temperature, and deformation that lead to fracture. The proposed numerical framework integrates the phase-field fracture model with variable-node elements within the finite element approach, enabling adaptive mesh refinement and solution of the coupled differential equations. The coupled differential equations for various field variables, chemo-thermo-mechanical and phase-field, are solved using a robust staggered iteration scheme. The staggered scheme is accelerated through a combination of the Anderson acceleration method and the over-relaxation method. The proposed framework’s applicability and robustness are demonstrated by solving several benchmark problems. The results show good agreement with those from the literature while also offering improved computational efficiency compared to uniform refinement.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107726"},"PeriodicalIF":4.4,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579321","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":"Orthogonalization in high-order finite element method","authors":"Jan Jaśkowiec,&nbsp;Piotr Pluciński","doi":"10.1016/j.compstruc.2025.107692","DOIUrl":"10.1016/j.compstruc.2025.107692","url":null,"abstract":"<div><div>The finite element method employs local basis functions to build the approximation field within each finite element. These functions, known as shape functions, must be tailored to the shapes of the elements while maintaining the global conformity of the approximation. Shape functions in finite elements are categorized into two types: bubble functions and edge functions. Bubble functions are zero on the element’s boundary, while edge functions are the remaining ones. The degrees of freedom (dofs) across the entire mesh consist of inner dofs within each element, skeleton dofs at the element edges inside the domain, and boundary dofs at the domain’s outer boundary. When the bilinear form of the considered problem is Hermitian and coercive in <span><math><msubsup><mi>H</mi><mn>0</mn><mn>1</mn></msubsup></math></span>, it can be interpreted as the inner product. This paper utilizes such an inner product to construct orthogonal bubble functions and edge functions orthogonal to the bubble functions. Consequently, the problem matrix in each element is partially diagonal, allowing the inner degrees of freedom to be determined within each element before the assembly process, and the global problem only involves the skeleton and boundary dofs. In the subsequent step, the skeleton basis functions are orthogonalized, reducing the global problem to only the boundary degrees of freedom. This method can be effectively applied to analyze a collection of problems with varying boundary conditions. The orthogonalization process combines the generalized eigenvalue problem and Gaussian elimination, stored in a square matrix, to switch between standard and orthogonalized shape functions or degrees of freedom. A substantial amount of calculations occurs within the finite elements, making them inherently suitable for parallel processing. This technique, referred to as the orthogonalized FEM (OFEM), is suitable for high-order finite elements to reduce memory usage, simplify the assembly procedure, and can greatly decrease computation time when executed in parallel. Several 2D examples, including the Poisson problem, stationary and non-stationary heat flow, and linear elasticity, demonstrate the proposed approach’s effectiveness.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107692"},"PeriodicalIF":4.4,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579018","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 Theory-Guided Encoder-Decoder model for short- and Long-Horizon seismic response prediction of nonlinear Single-Degree-of-Freedom systems","authors":"Zeyu Pan ,&nbsp;Jianyong Shi ,&nbsp;Liu Jiang","doi":"10.1016/j.compstruc.2025.107719","DOIUrl":"10.1016/j.compstruc.2025.107719","url":null,"abstract":"<div><div>In the domain of structural engineering, accurate real-time prediction of structural dynamics is of paramount importance. In recent years, there has been a notable increase in the utilization of deep learning methodologies for the estimation of peak and comprehensive seismic responses. The success of deep learning-based surrogates in previous studies has highlighted their potential in replicating the dynamic behavior of their target structure, thereby enabling the decoding of the input excitations to their corresponding structural responses. However, the utilization of surrogates for non-specific structural systems remains under-explored, underscoring the necessity for further model adaptation prior to its deployment for different structural configurations. Building on these observations, this research presents an innovative approach that enables the surrogate model to autonomously learn the decoding mechanism from structural parameters, hysteresis curves, and lookback excitation-response data, while restricting the outputs with a modified hard constraint projection scheme. These modifications render the surrogate applicable to robust long-horizon response prediction for structural systems with non-specific structural configurations. Comprehensive testing under various ground motion scenarios and distinct structural setups has yielded consistent predictions compared to numerical simulations, thereby validating the efficacy and adaptability of the proposed encoder-decoder surrogate model in accurately forecasting seismic responses across diverse contexts.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107719"},"PeriodicalIF":4.4,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579017","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 weighted composite implicit direct time integration method in structural dynamics and wave propagation","authors":"A.H. Rezaei-Babak ,&nbsp;S. Rostami ,&nbsp;S. Shojaee ,&nbsp;S. Hamzehei-Javaran","doi":"10.1016/j.compstruc.2025.107723","DOIUrl":"10.1016/j.compstruc.2025.107723","url":null,"abstract":"<div><div>This paper introduces a novel two-step composite implicit direct time integration method for linear and non-linear problems in the fields of structural dynamics and wave propagation. This method employs a hybrid approach, utilizing both the Newmark method and backward differential formulas (BDFs). The first sub-step of this method involves the application of a weighted combination of the Newmark and three-point backward methods, while the second sub-step employs the four-point backward method. The method introduced herein exhibits both unconditional stability and commendable accuracy. The efficiency of the new method was evaluated through numerical simulations. These results were then compared to those obtained using the single-step Newmark scheme and Wen and Bathe family’s composite methods. To assess the performance of the developed method, both linear and non-linear problems were examined, including challenging examples from the fields of structural dynamics and wave propagation.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107723"},"PeriodicalIF":4.4,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579320","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 verification of analytical model of vibrations of sandwich plate with honeycomb core","authors":"Jakub Marczak","doi":"10.1016/j.compstruc.2025.107714","DOIUrl":"10.1016/j.compstruc.2025.107714","url":null,"abstract":"<div><div>In this article an analytical model of vibrations of three-layered sandwich plate based on the tolerance averaging technique is presented and discussed. The superiority of the derived model lies in its capability to describe the dynamic behaviour of sandwich plate with any type of periodic microstructure – located not only in the core but also in the faces of it. Another advantage is the fact, that during the modelling procedure it is still possible to investigate a local, microscale fluctuations of displacements caused by the periodic microstructure. The aim of the paper is to provide a broad validation of the model in case of sandwich plate with honeycomb core. In order to achieve this goal both analytical and numerical solutions known from the literature are prepared, compared and discussed. As a result, it is shown, that within a specific applicability limit the derived model provides sufficiently precise results, while still remaining relatively simple to use, which proves its correctness. Eventually, some guidelines on how to further increase its reliability and versatility are provided.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107714"},"PeriodicalIF":4.4,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143579019","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":"PoliBrick plugin as a parametric tool for digital stereotomy modelling","authors":"Mohammad Pourfouladi,&nbsp;Natalia Pingaro,&nbsp;Marco Valente","doi":"10.1016/j.compstruc.2025.107722","DOIUrl":"10.1016/j.compstruc.2025.107722","url":null,"abstract":"<div><div>This paper presents the development of a new plugin that is both simple and user-friendly for the digital modelling of multiple brick patterns in 3D on any surface, from simple flat walls to complex single and double curvature geometries. The plugin, named PoliBrick, is specifically conceived to assist in modelling different types of brickwork shells with intricate patterns, such as masonry arches and vaults. It excels in streamlining parametric modelling across a broad spectrum of free-form curved surfaces, standing out from existing tools. Developed for Rhino software within the Grasshopper environment, PoliBrick features an intuitive interface and comprises only six essential components. Its parametric method makes it competitive with any procedure documented in the literature, as it can accurately replicate brick assemblies on all types of free-form shells. PoliBrick can reproduce, with immediate feedback, any brick arrangement, including patterns like basket weave, stretcher bond, herringbone bond, and many others. Such a functionality addresses a significant gap in current software tools, which cannot often handle curved geometries with complex brick layouts. Moreover, the new plugin can be integrated into a variety of software tools to enable pre-analysis capabilities for the structural evaluation of single and double curvature vaulted structures, using preferred methods like finite element or distinct element approaches. It also supports robotic fabrication processes by considering paths and construction order, enhancing its practical utility in modern construction techniques. PoliBrick is benchmarked on some case studies to demonstrate the validity of the developed procedure and the robustness of the proposed algorithm, which is expected to be effective in markedly reducing the computational effort in pre-structural analysis modelling phases and allows designers to take into account the non-negligible role of stereotomy in curved structures.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107722"},"PeriodicalIF":4.4,"publicationDate":"2025-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549430","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"Simultaneous sizing and topology optimization of extruded elastic thin-walled beams","authors":"Ameer Marzok","doi":"10.1016/j.compstruc.2025.107689","DOIUrl":"10.1016/j.compstruc.2025.107689","url":null,"abstract":"<div><div>This paper presents a novel approach for optimizing extruded thin-walled beams. The main idea of the proposed approach is to formulate the problem’s design variables as line segments with unknown thicknesses. This is attained by viewing the beam’s cross-section as a set of connected line segments, representing the flat folded plates that form its geometry. The design space is defined based on the ground structure approach, enabling layout optimization and the design of general cross-sections. This special parameterization enables leveraging algorithms developed for truss layout optimization.</div><div>Under the assumption of extruded beams, the finite strip method is employed for efficient linear elastic structural analysis, resulting in a significant reduction in computational burden compared with other methods, such as shell elements. Since the proposed parameterization is general, regardless of the structural analysis method, it can also be used with more general finite element formulations of flat-shell structures.</div><div>The numerical studies show that the method enables designs equivalent to full 3D optimization with a significant reduction in computational burden. Additionally, it is shown that the method converges to intuitive solutions for simple cases and more sophisticated solutions in complex cases, especially when traditional beam theory is not applicable.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107689"},"PeriodicalIF":4.4,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143547105","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":"Substructuring-based accurate beam section characterization from finite element analysis","authors":"Pierangelo Masarati,&nbsp;Claudio Caccia,&nbsp;Marco Morandini","doi":"10.1016/j.compstruc.2025.107720","DOIUrl":"10.1016/j.compstruc.2025.107720","url":null,"abstract":"<div><div>The elastic characterization of beam sections is a complex problem, especially for non-homogeneous beams composed of anisotropic materials. Over the past four decades, several viable solutions have been proposed to address this important scientific and engineering challenge. These solutions either require a dedicated formulation for section discretization or, if based on conventional finite element methods, inevitably introduce unnecessary approximations. This work presents a formulation equivalent to well-established approaches available in the literature without requiring dedicated, specialized discretization formulations and techniques. Instead, it utilizes conventional linear finite element analysis to discretize the beam section and the concept of substructuring to analyze a finite chunk of the beam. The formulation is contextualized, described, and verified through examples of increasing complexity and generality, whose results are compared against those available in the open literature.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107720"},"PeriodicalIF":4.4,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143547119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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":"An approximate method for natural frequency analysis of variable-pitch vertical axis wind turbine blades","authors":"Cong Xiong ,&nbsp;Liang Li ,&nbsp;Yuting Chen ,&nbsp;Jingyi Cao ,&nbsp;Weidong Zhu ,&nbsp;Long Wang ,&nbsp;Jianguo Cui ,&nbsp;Changguo Xue ,&nbsp;Yinghui Li","doi":"10.1016/j.compstruc.2025.107725","DOIUrl":"10.1016/j.compstruc.2025.107725","url":null,"abstract":"<div><div>This study aims to enhance the operational stability and efficiency of flexible blades in variable-pitch vertical-axis wind turbines, providing significant engineering applications. Currently, research on blade dynamic behavior often simplifies blades to slender beam models, yet this approach has limitations in analyzing blades of small and medium-sized vertical-axis wind turbines, particularly for variable-pitch vertical-axis wind turbines, where the blades do not always meet the slender beam assumption. To address this, the study constructs a variable-pitch dynamic model based on the Euler-Bernoulli and Timoshenko beam theories. Using an assumed mode method combined with a multi-scale approach, the dynamic characteristics of the blades under different models are systematically analyzed, and the impact of variable pitch on frequency is further explored. Results indicate that the Timoshenko beam model demonstrates higher accuracy in predicting high-order modal frequencies, especially under larger pitch amplitudes, allowing for a more precise description of blade flap responses. Additionally, pitch amplitude significantly affects the natural frequency, whereas the effects of pitch frequency and phase are relatively minor. This research provides a theoretical foundation for optimizing variable-pitch vertical-axis wind turbines blade structural design and offers crucial technical guidance for enhancing stability and efficiency in long-term operation.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"311 ","pages":"Article 107725"},"PeriodicalIF":4.4,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143535353","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}