{"title":"Curvilinear 2|3D finite elements for the analysis of shells with arbitrary curvature and variable thickness","authors":"Piero Chiaia , Maria Cinefra , Erasmo Carrera","doi":"10.1016/j.compstruc.2025.107911","DOIUrl":"10.1016/j.compstruc.2025.107911","url":null,"abstract":"<div><div>This paper presents a novel curvilinear finite element (FE) formulation for the static and modal analysis of shells with arbitrary curvature and variable thickness. In the proposed approach, high-order 2D shell models are defined in three curvilinear coordinates, exploiting the co- and contravariant components of physical quantities in the non-orthogonal reference frame. The Carrera Unified Formulation (CUF) is adopted for the definition of 2D shell models in which Lagrange functions are employed for the through-the-thickness approximation of displacements; then, merging CUF with finite element approximation of midsurface, new 3D-like FE elements are generated in which different orders of expansion can be adopted along the three curvilinear coordinates. For this reason, these elements are referred to as 2<span><math><mrow><mo>|</mo></mrow></math></span>3-D because they present both the computational efficiency of 2D models and the capability to model non-orthogonal geometries, such as shells with variable thickness, of 3D elements. Geometrical relations are derived within the classical differential geometry framework, and weak-form equilibrium equations are derived through the Principle of Virtual Displacements (PVD). The capabilities of the present finite elements are investigated by performing the static and modal analysis of various shell-like structures. The accuracy of the present approach in terms of three-dimensional stress states and natural frequencies is demonstrated by comparing the numerical results with solutions obtained by classical 3D finite elements using commercial software, highlighting the computational efficiency of the present elements. Finally, the proposed methodology is applied to analyze complex engineering applications.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"317 ","pages":"Article 107911"},"PeriodicalIF":4.8,"publicationDate":"2025-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144779941","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":"Out-of-Distribution-Aware Structural Damage Classification via Hybrid Variational Autoencoder and Gradient Boosting","authors":"Handy Prayogo, I-Tung Yang","doi":"10.1016/j.compstruc.2025.107905","DOIUrl":"10.1016/j.compstruc.2025.107905","url":null,"abstract":"<div><div>Structural damage classification is vital for the safety and longevity of critical infrastructure. Machine learning models, though effective in predicting structural behavior, often struggle with out-of-distribution data that differ from their training sets. While out-of-distribution detection has advanced for image and text data, progress remains limited for tabular data, the most common format representing critical structural information. This paper introduces a novel approach called Out-of-Distribution-Aware Hierarchical Gradient Boosting to address out-of-distribution challenges in tabular data within civil engineering applications. The method generates synthetic out-of-distribution samples, creating realistic samples that resemble in-distribution training data. The framework employs a two-stage hierarchical gradient boosting model: the first stage detects whether input data are in-distribution, and the second stage classifies structural damage within these samples. By integrating synthetic data generation with hierarchical modeling, the framework enhances the ability to detect out-of-distribution instances while maintaining classification accuracy. Gradient boosting algorithms including LightGBM, XGBoost, and CatBoost are used to balance robust detection and precise classification. Experimental results on the shear wall and bridge tagging datasets demonstrate that the proposed framework outperforms state-of-the-art multi-layer perceptron-based out-of-distribution detectors. These findings highlight a promising approach to enhancing infrastructure safety and performance specifically designed for tabular data.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"317 ","pages":"Article 107905"},"PeriodicalIF":4.8,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144779293","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}
Fei Wang , Li Yuan , Zhenggang Zhan , Ruilin Cheng , Tongchun Li , Chaoning Lin , Shiyang Pan
{"title":"A novel solid-plate coupling finite element method for face slab of concrete-faced rockfill dams","authors":"Fei Wang , Li Yuan , Zhenggang Zhan , Ruilin Cheng , Tongchun Li , Chaoning Lin , Shiyang Pan","doi":"10.1016/j.compstruc.2025.107916","DOIUrl":"10.1016/j.compstruc.2025.107916","url":null,"abstract":"<div><div>A novel solid-plate coupling finite element method using generalized conforming theory-based thin plate elements is proposed to simulate the face slab of concrete-faced rockfill dams. This method automatically generates 4-node plate elements at the mid-surface of 8-node 3D solid elements representing the face slab, establishes corresponding degree of freedom mapping relationship, and enables connectivity between thin plate elements and other components. Numerical results demonstrate that compared to conventional solid elements on a coarse mesh, the solid-plate coupling simulation effectively captures the bending deformation characteristics of the face slab under water load, alleviates the stress averaging effect, and obtains more accurate maximum joint displacements. This method avoids the huge computational cost of the fine mesh while balancing computational efficiency and precision requirements for concrete-faced rockfill dams, demonstrating strong potential for practical engineering applications.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107916"},"PeriodicalIF":4.8,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144772566","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":"Mesh-free energy element method for three-dimensional static analysis of structures with complex geometries","authors":"Lei Duan , Yongjie Zhang , Zhao Jing , Siqi Wang","doi":"10.1016/j.compstruc.2025.107889","DOIUrl":"10.1016/j.compstruc.2025.107889","url":null,"abstract":"<div><div>A novel mesh-free numerical method, energy element method (EEM), is proposed for the static analysis of three-dimensional (3D) structures with complex geometries, using global admissible functions, extended interval integrals, Gauss quadrature, and global variable stiffness. This method builds a minimum cuboid that wraps the 3D structure and then cutouts are made to simulate its geometric configuration. To simulate the strain energy of the 3D structure, the cuboid is divided into multiple cuboid energy elements of variable scales based on its geometric configuration. Sufficient Gaussian points are generated in each energy element. Each elastic stiffness coefficient is discretized into a 3D variable stiffness matrix with the same dimensions of Gaussian points in each energy element, where the Gaussian points with zero stiffness are located at the cuboid’s cutouts. The construction of the variable stiffness based discrete energy system leads to high-precision numerical simulations of strain energies of 3D structures. Finally, the standard energy functional for 3D structural static analysis is established and solved using the minimum potential energy principle and Ritz method. Static problems of 3D structures such as spheres, perforated plates, and stiffened plates, are investigated. The results are compared with those of the existing literature and finite element method (FEM).</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107889"},"PeriodicalIF":4.8,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144766829","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":"Modeling crack propagation in constant/variable stiffness composite laminates using X-VCFEM","authors":"Huan Li, Jiaqing Wang","doi":"10.1016/j.compstruc.2025.107898","DOIUrl":"10.1016/j.compstruc.2025.107898","url":null,"abstract":"<div><div>A new extended Voronoi cell finite element method (X-VCFEM) is developed for modeling the fracture processes of the constant/variable stiffness composite laminate (CSCL/VSCL) subjected to uni-axial tension. In order to accurately capture crack-tip stress concentrations in CSCL/VSCL, the orthotropic crack-tip enrichment functions in the vicinity of crack tips are introduced into the stress functions in X-VCFEM. The direction of the crack propagation is determined by the anisotropic maximum hoop stress criterion, in which the fiber orientation and crack angle are considered. In this study, the crack propagation path and the influence of the orientation of the fiber on the fracture pattern in the composite are investigated. From the numerical study, it is inferred that: the cracking pattern of the composite is significantly influenced by the orientation of the fiber. Numerical methods for both constant stiffness composite lamina and variable stiffness composite lamina with curved fiber orientation are provided. The present predictions are in good agreement with other numerical results. The last example presents the propagation of multiple cracks in the constant/variable stiffness composite lamina. It is certain that this method is a powerful way to model the damage of constant/variable stiffness composites containing a lot of cracks.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107898"},"PeriodicalIF":4.8,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750483","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}
Yongbin Huang , Tong Gao , Longlong SONG , Yang Li , Pingchu Fang , Weihong Zhang
{"title":"Layout design of lattice-stiffener hybrid core for composite sandwich panel and experimental verification","authors":"Yongbin Huang , Tong Gao , Longlong SONG , Yang Li , Pingchu Fang , Weihong Zhang","doi":"10.1016/j.compstruc.2025.107910","DOIUrl":"10.1016/j.compstruc.2025.107910","url":null,"abstract":"<div><div>Hybrid core composite sandwich panels, as representative load-bearing structures, have attracted significant attention in engineering due to their excellent mechanical properties. However, two key issues limit their optimal design: the misalignment of stiffeners and lattice materials along the thickness direction, and the excessive in-plane clustering of stiffeners. To overcome these challenges, this work presents a multi-material topology optimization approach integrating a penetration constraint and a maximum size constraint. The lattice core is modeled as a virtual material via an energy-based homogenization method. A local cylindrical search region is introduced to replace the conventional spherical search, thereby improving the alignment of stiffeners and lattices through the normal direction. The dimensions of in-plane stiffeners are controlled by constraining local porosity within a cylindrical search region, while the constraints are aggregated into a global form using the p-mean function. The optimization problem is efficiently solved using a gradient-based algorithm. Two numerical examples are provided to illustrate the design process and validate the effectiveness of the proposed method. Numerical and experimental results confirm that the proposed hybrid core composite sandwich panel exhibits superior mechanical performance.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107910"},"PeriodicalIF":4.8,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144738659","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":"Numerical modelling of a solenoid optimization problem with a superposition-based model order reduction method","authors":"Kiss Kristóf Levente, Orosz Tamás","doi":"10.1016/j.compstruc.2025.107906","DOIUrl":"10.1016/j.compstruc.2025.107906","url":null,"abstract":"<div><div>This work investigates the application of a Model Order Reduction technique based on the Cauer ladder network method to the air cored solenoid geometry of the number 35 benchmark problem from the Testing electromagnetic analysis methods series, approaching both source and discrete radius optimization tasks. A projection-based reduced-order model was developed to accelerate the optimization process, achieving an average computational speedup factor of 35 compared to full-order finite element simulations. For discrete radius optimization, the problem was reformulated as a source optimization, enabling effective model order reduction application. The multiport Cauer ladder network approach reduced to a superposition of magnetic fields due to the simplicity of the problem. The reduced order model preserved consistency with the full order model when a small enough element size was chosen in the finite element model during its creation process. The error of the proposed methodology is an order of magnitude lower than the lowest objective function values in the optima, therefore it is suitable for multi-objective optimization.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107906"},"PeriodicalIF":4.8,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750482","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 multiphysics finite element framework for CO2-induced self-healing in bacterial concrete","authors":"Ajitanshu Vedrtnam , Kishor Kalauni , MT Palou","doi":"10.1016/j.compstruc.2025.107908","DOIUrl":"10.1016/j.compstruc.2025.107908","url":null,"abstract":"<div><div>This study presents a multiphysics finite element model to simulate CO<sub>2</sub>-induced self-healing in bacterial concrete, offering a sustainable approach to crack repair and carbon sequestration. Unlike previous models, the proposed framework integrates coupled processes, including CO<sub>2</sub> diffusion, bacterial metabolism, moisture transport, and calcium carbonate precipitation, within a unified reaction–diffusion system. Implemented in FEniCS, the model uses refined meshing to resolve gradients near cracks and applies validated boundary conditions based on experimental studies. Simulations show that under optimal conditions (RH ≥ 80 %, CO<sub>2</sub> ≥ 20 %), over 90 % crack closure is achieved within six weeks for microcracks (≤0.5 mm), while larger cracks exhibit slower healing due to diffusion limitations. The model also demonstrates strong agreement with experimental data for carbonation depth and CaCO<sub>3</sub> formation, achieving a coefficient of determination (R<sup>2</sup>) of 0.996. These results confirm the potential of bacterial concrete for self-repair and carbon sequestration in humid, CO<sub>2</sub>-rich environments. The model provides a robust tool for optimizing material design and curing conditions, paving the way for the development of low-maintenance, carbon-negative infrastructure.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107908"},"PeriodicalIF":4.8,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144750481","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 robust and efficient damage material model for nonlinear analysis of masonry structures","authors":"Corrado Chisari","doi":"10.1016/j.compstruc.2025.107881","DOIUrl":"10.1016/j.compstruc.2025.107881","url":null,"abstract":"<div><div>Finite element analysis of masonry structures is often challenging because of their marked nonlinear behaviour, whose numerical representation may lead to significant computational issues. In practice, this often leads to lengthy trial-and-error analysis settings, long computing times and possible lack of convergence, and justifies the use of other more approximate methodologies, e.g., limit analysis, when the ultimate conditions are investigated. For many problems, however, the complete evolution of the structural response over time is needed and finite element analysis remains the preferred approach. Hence, the development of numerical models representing a controlled compromise between accuracy, robustness and efficiency is a research topic of relevant practical interest.</div><div>In this paper, a novel computational strategy for masonry structures, entailing a strain-driven damage model equipped with implicit-explicit solution method is proposed. The model is conceived to be robust at local level (no iterations are needed to find stresses and update internal variables from given strains) and at global level, where the material tangent stiffness matrix is ensured to be constant in the time increment. This leads to a finite element analysis where no or very few iterations are needed at each step. The accuracy and the computability of the approach are shown through several examples, from the integration point level to walls subjected to in-plane and out-of-plane loads. In-depth investigation on various aspects of the numerical approach is carried out, showing the potential of the methodology for analysis of masonry structures in various numerically challenging conditions.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107881"},"PeriodicalIF":4.4,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144714301","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}
Peter Kočman, Jerneja Češarek Kolšek, Sebastjan Bratina
{"title":"A simple beam-like finite element model for the analysis of concrete beams prestressed with unbonded tendons","authors":"Peter Kočman, Jerneja Češarek Kolšek, Sebastjan Bratina","doi":"10.1016/j.compstruc.2025.107894","DOIUrl":"10.1016/j.compstruc.2025.107894","url":null,"abstract":"<div><div>This paper presents a new beam-like finite element model for the analysis of the mechanical response of a reinforced concrete beam prestressed with unbonded curved tendons under short-term static loading. To develop a numerically efficient and computationally inexpensive model while still capturing the most important characteristics of the beam’s deformation, only the material nonlinearity is fully considered, as suggested by current engineering standards, whereas the kinematics are consistently linearized in the model. To ensure successful completion of the analysis even for statically indeterminate structures, where the effect of concrete softening may start well before the point of the beam’s final collapse and could result in convergence issues, localisation of deformations and concrete softening under compression are treated according to a well-established crack-band principle. Reliability and efficiency of the developed model are proven on the examples of simply supported and continuous beams, for which well-documented experimental results are available in literature. The model provides the user with a quick and easy-to-understand finite element tool for practical use in design of prestressed structures.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"316 ","pages":"Article 107894"},"PeriodicalIF":4.4,"publicationDate":"2025-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144714302","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}