{"title":"An enrichment of Q4γs plate finite element using incomplete quadratic functions, an assumed energy orthogonality of Bergan’s free formulation, and mixed transverse shear strains","authors":"Andi Makarim Katili , Kai-Uwe Bletzinger , Irwan Katili","doi":"10.1016/j.compstruc.2024.107619","DOIUrl":"10.1016/j.compstruc.2024.107619","url":null,"abstract":"<div><div>This paper introduces a new quadrilateral plate element named DSPM4, which improves upon the previous Q4γ<em><sub>s</sub></em> element. The DSPM4 element has twelve DOFs and four temporary DOFs at the mid-sides of the element. The rotation functions βs are modified by adding an incomplete quadratic function to improve the bending performance. An orthogonality condition between the lower and higher-order bending energy is assumed to satisfy the constant bending patch test. The element development involves kinematic and mixed transverse shear strains. In the local normal-tangential (<em>n-s</em>) coordinate system of each side, the mixed transverse shear strains are obtained by combining the constitutive law for shear forces, equilibrium equations, the constitutive law for bending, and curvatures. The relationship between the temporary DOFs and the final DOFs at the corner nodes is established by equating the constant kinematic and mixed transverse shear strains in the direction cosines of each side of the element. As in the Q4γ<em><sub>s</sub></em> element, the discrete shear projection method is applied to avoid the shear-locking effect. Numerical analyses are conducted for thin and thick isotropic plates, and the results are compared with those of the DKMQ and MITC4 elements. Numerical results prove that the DSPM4 element is free of shear locking in thin and thick plates, has a proper rank, and provides better convergence behaviour than the Q4γ<sub>s</sub> element. Its performance in static and free vibration analyses of isotropic plates is highly comparable to the DKMQ element.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107619"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841246","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}
Giulia Delo , Rinto Roy , Keith Worden , Cecilia Surace
{"title":"On the use of the inverse finite element method to enhance knowledge sharing in population-based structural health monitoring","authors":"Giulia Delo , Rinto Roy , Keith Worden , Cecilia Surace","doi":"10.1016/j.compstruc.2024.107635","DOIUrl":"10.1016/j.compstruc.2024.107635","url":null,"abstract":"<div><div>Efficient Structural Health Monitoring (SHM) is critical for ensuring safety and improving the operation and maintenance of aerospace structures. This study focusses on advanced shape-sensing methods, such as the inverse Finite Element Method (iFEM), which can estimate the complete displacement field of a structure based on a restricted number of strain measurements, fostering continuous and real-time monitoring. This approach additionally provides valuable insights into the dynamic behaviour of a structure by extracting its Frequency Response Functions (FRFs) and modal properties to perform vibration-based SHM. However, effectively extending SHM to a fleet or population of structures would require a significant amount of data for each one, which may be unavailable or incomplete. A population-based Structural Health Monitoring (PBSHM) strategy can solve data scarcity by sharing knowledge between similar structures via transfer-learning algorithms. In PBSHM, handling data from diverse sources is paramount for achieving accurate results. Therefore, this study integrates iFEM into the PBSHM framework, enhancing knowledge transfer by harmonising fibre-optic strain measurements to vibration-based features and providing reliable source data to inform diagnostics on similar structures. The proposed approach is validated on a population of laboratory-scale steel aircraft subjected to specific operating and damage conditions tested using three different sensor setups.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107635"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143095111","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}
Hassan M. Asadkandi , Tomáš Mánik , Bjørn Holmedal , Odd Sture Hopperstad
{"title":"Open-source implementations and comparison of explicit and implicit crystal-plasticity finite element methods","authors":"Hassan M. Asadkandi , Tomáš Mánik , Bjørn Holmedal , Odd Sture Hopperstad","doi":"10.1016/j.compstruc.2024.107621","DOIUrl":"10.1016/j.compstruc.2024.107621","url":null,"abstract":"<div><div>In this study, two state-of-the-art implementations of the rate-dependent Crystal Plasticity Finite Element Method (CPFEM) as user material subroutines in the finite element solvers Abaqus/Explicit and Abaqus/Standard (Implicit) are presented. Adaptive substepping in the explicit solver and line-search stabilized implementation in the implicit solver enable fast and stable calculations also for small strain-rate sensitivities. A comparative analysis of simulation results is made and computation times of the two implementations are compared and discussed, including the use of reduced-integration elements and mass scaling for the explicit solver. It is identified under which conditions the explicit or the implicit solver is preferred.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107621"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841392","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 optimization of topology and bi-material distribution of three-dimensional structures for addressing local heat accumulation in layer-upon-layer additive manufacturing process","authors":"Nima Yaghoobi, Mohammad Hossein Abolbashari","doi":"10.1016/j.compstruc.2024.107632","DOIUrl":"10.1016/j.compstruc.2024.107632","url":null,"abstract":"<div><div>This paper introduces a novel approach based on a topology optimization (TO) model to efficiently distribute material phases for minimizing structural compliance and enhance local heat evacuation in additive manufacturing (AM). The approach simultaneously optimizes the structure for its intended function and behavior during layer-by-layer production. While AM allows intricate, topologically optimal multi-material designs, it often induces high temperatures and heat fluxes, risking part failure and compromising mechanical properties. To address this, a 3D gradient-based bi-material and functionally graded TO method is presented, considering total volume percentage and a thermal constraint based on temperatures of local sub-domains. The methodology involves density-based multi-material TO, interpolating elastic moduli, thermal conductivity, and heat flux based on proposed extensions of solid isotropic material with penalization method. Subsequently, a steady state analysis is performed in each sub-domain whose top element layer is exposed to a heat flux, simulating AM process. Both 2D and 3D numerical results demonstrate the contribution of the presented approach in preventing localized heating-induced geometrical patterns in AM. Additionally, the proposed method proves effective in producing superior designs without the need for sacrificial support structures in bi-material and functionally graded material designs, offering self-supported structures.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107632"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142884291","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":"Extended spectral element formulation for modeling the propagation of nonlinear ultrasonic waves produced by multiple cracks in solid media","authors":"Feilong Li , Yue Su , Xiaoqiang Sun","doi":"10.1016/j.compstruc.2024.107639","DOIUrl":"10.1016/j.compstruc.2024.107639","url":null,"abstract":"<div><div>This study presents a novel time-domain extended spectral element method (TD-XSEM) that can efficiently and accurately simulate interactions between ultrasonic waves and multiple randomly distributed and oriented cracks in solid materials. Compared to the conventional TD-SEM, which excels at large-scale structures but struggles with small discontinuities and contact issues, our TD-XSEM integrates linear finite elements to model these challenges effectively. Moreover, it preserves the efficiency of spectral elements in intact regions. Our unique frictional contact formulation employs the Heaviside function in discontinuous elements with enriched corner nodes. Rigorous validation against interactions of longitudinal waves with randomly distributed and oriented cracks shows superior convergence and accuracy of TD-XSEM. The proposed approach is further applied to capture second harmonic Lamb wave propagation and mixing bulk wave phenomena, demonstrating its feasibility and robustness in modeling complex interactions between ultrasonic waves and multiple random cracks. Implemented in C, TD-XSEM offers unprecedented accuracy and geometric flexibility in analyzing contact acoustic nonlinearity owing to multiple frictional cracks, contributing to the field of non-destructive testing. This study establishes a new framework for efficient and accurate wave-crack interaction simulations in complex solid structures.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107639"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142911791","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}
F. Gómez-Silva , R. Zaera , R. Ortigosa , J. Martínez-Frutos
{"title":"Topology optimization of lattice structures for target band gaps with optimum volume fraction via Bloch-Floquet theory","authors":"F. Gómez-Silva , R. Zaera , R. Ortigosa , J. Martínez-Frutos","doi":"10.1016/j.compstruc.2024.107601","DOIUrl":"10.1016/j.compstruc.2024.107601","url":null,"abstract":"<div><div>In this work, a topology optimization algorithm has been developed to design bi-material lattice structures showing a band gap around a target frequency, using just one unit cell through the application of Bloch-Floquet theorem. The Bidirectional Evolutionary Structural optimization (BESO) method has been employed, based on bi-material interpolation. A new objective function has been defined, which uses only the natural frequencies closest to the target one, regardless of their position with respect to the fundamental natural frequency. This reduces the computational cost by limiting the number of frequencies considered, and improves the robustness of the optimization process, as these frequencies adapt to changes in the distribution of materials within the domain, constantly encompassing the target frequency. In addition, a novel approach has been implemented to determine the optimal volume fraction of the materials forming the structure, a parameter typically predefined in other works before starting the optimization process. Consequently, the algorithm can autonomously identify the volume that produces the widest band gap around the target frequency. The algorithm has been evaluated for different cases of lattice structures formed by the periodic repetition of a unit cell in both 1D (1D-CR) and 2D (2D-CR), comparing some results with those obtained in other works through different approaches.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107601"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841245","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":"Coupling of finite and boundary element methods for contact analysis of dielectric solids immersed in electrostatic medium","authors":"Moonhong Kim, Dongwoo Sohn","doi":"10.1016/j.compstruc.2024.107591","DOIUrl":"10.1016/j.compstruc.2024.107591","url":null,"abstract":"<div><div>This paper introduces a novel approach for analyzing the frictionless two-dimensional contact between dielectric solids in an electrostatic medium. This analysis is achieved by combining the finite element and boundary element methods. The finite elements model elastic dielectric solids undergoing geometrically nonlinear mechanical deformation and electric polarization. We present a finite element-based contact formulation to address the electromechanical contact between dielectric solids. To enforce the contact condition, we employ the nested augmented Lagrangian method. In contrast, the boundary element method is applied to consider the electrostatic medium surrounding the dielectric solids. The boundary elements are coupled with the finite elements on the surfaces of the dielectric solids. This coupling and elaborate treatment of transition zones between contacting and non-contacting solid surfaces ensures accurate capture of electrical interactions along all boundaries. Our proposed method successfully passes a contact patch test even with non-matching meshes. To further validate the effectiveness of our approach, we provide numerical examples that explore the impact of piezoelectricity and flexoelectricity. These examples demonstrate the applicability of the proposed method.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107591"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841192","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":"Nonlinear finite element analysis of layered steel fiber reinforced concrete beams","authors":"Anas M.H. Fares, Burcu Burak Bakir","doi":"10.1016/j.compstruc.2024.107637","DOIUrl":"10.1016/j.compstruc.2024.107637","url":null,"abstract":"<div><div>This study investigates the effect of fiber properties and SFRC layer thickness on the flexural behavior of layered beams that undergo both compression and tension failures. Four specimens tested in a prior experimental study are modeled utilizing nonlinear finite element software ABAQUS, and numerical results are verified by comparison with experimental results. Contrary to existing nonlinear models, developed model accurately predicts damage pattern, descending portion of the load–displacement relationship, and ultimate displacement, which results in an accurate estimation of energy dissipation capacity and ductility. Moreover, a comprehensive parametric study is carried out to investigate the effect of tension reinforcement ratio, fiber volume fraction, fiber aspect ratio, and SFRC layer thickness on flexural behavior. Numerical results verify the improvement of beam flexural behavior by increasing SFRC layer thickness and indicate the significance of defining a minimum layer thickness. If the SFRC layer has a thickness lower than 40% of beam depth, there is only limited improvement in the behavior even for fibers with high aspect ratios. In contrast to SFRC beams, layered SFRC beams with up to 1.5% steel fibers exhibit a minor increase in the load carrying capacity, while ductility and energy dissipation capacity significantly improve with increasing layer thickness.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107637"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142884396","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}
Tongxing Zuo , Haitao Han , Qianglong Wang , Qiangwei Zhao , Zhenyu Liu
{"title":"An explicit topology and thickness control approach in SIMP-based topology optimization","authors":"Tongxing Zuo , Haitao Han , Qianglong Wang , Qiangwei Zhao , Zhenyu Liu","doi":"10.1016/j.compstruc.2024.107631","DOIUrl":"10.1016/j.compstruc.2024.107631","url":null,"abstract":"<div><div>In order to improve the topology optimization results for the requirements such as manufacturability and functionality, and to strengthen the link between structural topology optimization and computational topology, this paper measures the topology and thickness of the structure using topological invariants (i.e., Euler characteristic and Betti numbers) in the computational topology. Based on set theory, explicit relationships between structural topology/thickness and design variables are established, leading to the construction of solid and void constraints. These two constraints are then integrated into the SIMP-based topology optimization framework to control the minimum/maximum solid thickness and minimum void thickness while keeping the structural topology unchanged during topology optimization process. 2D and 3D numerical examples demonstrate that the new approach does have the capability to give a complete control of the topology and thickness of the optimal structure in an explicit way.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"307 ","pages":"Article 107631"},"PeriodicalIF":4.4,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142841189","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}