Ductho Le , Haidang Phan , Hoai Nguyen , Mauricio D. Sacchi , Lawrence H. Le
{"title":"Guided waves in anisotropic and viscoelastic stratified plates: Application to bone quantitative ultrasound","authors":"Ductho Le , Haidang Phan , Hoai Nguyen , Mauricio D. Sacchi , Lawrence H. Le","doi":"10.1016/j.compstruc.2025.107820","DOIUrl":"10.1016/j.compstruc.2025.107820","url":null,"abstract":"<div><div>This paper presents a numerical investigation into the behavior of ultrasonic guided waves in a multilayered bone plate characterized by anisotropic and viscoelastic properties. A spectral collocation formula for bone structures is developed, enabling accurate computation of three-dimensional dispersion curves, wave structures, and attenuation of guided waves. Additionally, a mode classification scheme is introduced to identify individual modes, facilitating mode selection during bone inversion. Our results are benchmarked against alternative wave computation methods and experimental data to validate their robustness and reliability. The effects of incorporating soft tissue and marrow into the bone models are explored in relation to mode number, trajectory, and attenuation. With its fast computational speed and mode-classification features, the proposed methodology serves as an effective forward modeling tool for enhanced ultrasonic bone assessment.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107820"},"PeriodicalIF":4.4,"publicationDate":"2025-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143935005","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}
Jingui Zhao , Guirong Liu , Gang Wang , Chao Sun , Zirui Li
{"title":"A total Lagrangian selective smoothed finite element method for three-dimensional multi-body contact dynamics of biological soft tissue","authors":"Jingui Zhao , Guirong Liu , Gang Wang , Chao Sun , Zirui Li","doi":"10.1016/j.compstruc.2025.107821","DOIUrl":"10.1016/j.compstruc.2025.107821","url":null,"abstract":"<div><div>In this article, a total Lagrangian selective smoothed finite element method (Selective S-FEM) is proposed for 3D multi-body contact dynamic analysis of biological soft tissues. A time-dependent total Lagrangian explicit algorithm is formulated in the proposed Selective S-FEM to calculate nonlinear large deformation of soft materials, considering incompressible, hyperelastic, and visco-hyperelastic behaviors. To overcome the incompressibility, the shear deformation is evaluated using the Edge/Face-based S-FEM and volumetric deformation is handled via Node-based S-FEM. A multi-body contact algorithm is also implemented in our Selective S-FEM model using master–slave surface-based node-to-surface algorithms, together with the penalty function method. The contact algorithm enables multi-component, multi-material complex contact between soft-hard materials, as well as the hybrid contacts, such as knee joint contact and skull-brain contact resulted from impact. The proposed Selective S-FEM uses the four-node tetrahedral (T4) that can be generated automatically, and numerical examples have shown that the results are insensitive to large mesh distortion, robust in handling various contacts, and produces accurate stress solution.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107821"},"PeriodicalIF":4.4,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929635","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}
Xueyi Zhao , Xiang Liu , Vladislav Sorokin , Wei Wang , Jianqiang Guo
{"title":"An efficient analytical method for broadband vibro-acoustic analysis of coupled beam-cavity systems","authors":"Xueyi Zhao , Xiang Liu , Vladislav Sorokin , Wei Wang , Jianqiang Guo","doi":"10.1016/j.compstruc.2025.107806","DOIUrl":"10.1016/j.compstruc.2025.107806","url":null,"abstract":"<div><div>This paper presents an analytical approach that integrates the dynamic stiffness method (DSM) with the spectral dynamic stiffness method (SDSM) for broadband vibro-acoustic modelling of coupled beam-cavity systems. This combined method uses frequency-dependent shape functions to describe both the structural and the acoustic domains, while the interaction between them is analytically modelled by using the modified Fourier series (MFS). In particular, the DSM uses the particular solutions of beams expanded by the MFS to express analytically acoustic pressure loadings of cavities, eliminating extra fine domain discretizations; the SDSM, on the other hand, formulates the coupling conditions using the MFS in a strong sense by direct enforcement of velocity continuity conditions at the coupling boundaries, enabling more accurate boundary condition handling and physically meaningful solutions. Finally, based on the system matrix equation with very few degrees of freedom, the efficient Wittrick–Williams algorithm is extended to extract eigenvalues of the coupled systems while vibro-acoustic responses are evaluated with high accuracy. The proposed method, validated against benchmark and practical problems, achieves up to 18 times faster computation than COMSOL while maintaining comparable accuracy. This promising method can provide an efficient tool for vibration and noise prediction during early design phases.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107806"},"PeriodicalIF":4.4,"publicationDate":"2025-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143931320","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}
Rodrigo R. Amaral, Herbert M. Gomes, Jorge Luis Palomino Tamayo
{"title":"A novel topology optimization sizing design method applied to a two-pile cap structure with a full nonlinear comparison","authors":"Rodrigo R. Amaral, Herbert M. Gomes, Jorge Luis Palomino Tamayo","doi":"10.1016/j.compstruc.2025.107823","DOIUrl":"10.1016/j.compstruc.2025.107823","url":null,"abstract":"<div><div>In this paper, a novel multi-material topology optimization method based on Bidirectional Evolutionary Structural Optimization (BESO) is proposed. The method employs a two-loop approach to optimize two-pile cap structures. The first loop focuses on minimizing structural compliance, thereby reducing the structure’s weight for a given material volume constraint. In the second loop, concrete elements exceeding their strength limits are iteratively replaced with steel elements to ensure a safe stress level for the obtained topology. The steel area is determined based on the equivalent principal forces of finite elements classified as steel. To demonstrate the effectiveness of this optimization method, a comparative analysis is conducted between a two-pile cap system designed using the Strut-and-Tie method and optimized topologies with final volume fractions of 55% and 70%. The optimized two-pile cap structures are evaluated through volume and weight analysis, as well as nonlinear finite element analysis to identify potential failure modes. The obtained designs achieve the required safety level for the design load while considering manufacturing constraints and reducing concrete volume.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107823"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143929636","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}
Ye Jiang , Qinliu Cao , Ruolin Liu , Wei-Tao Wu , Yong He , Hongbin Yan
{"title":"Rapid optimization of rocket projectile tailfins based on multi-fidelity neural networks with transfer learning","authors":"Ye Jiang , Qinliu Cao , Ruolin Liu , Wei-Tao Wu , Yong He , Hongbin Yan","doi":"10.1016/j.compstruc.2025.107801","DOIUrl":"10.1016/j.compstruc.2025.107801","url":null,"abstract":"<div><div>The aerodynamic characteristics of a rocket projectile have a direct impact on its flight performance, with tailfins playing a crucial role. Optimizing the tailfin shape is therefore a key focus in rocket projectile design. However, traditional optimization methods based on computational fluid dynamics (CFD) are time-consuming and inefficient. To address this, the study introduces a multi-fidelity fully connected neural network model based on transfer learning (MFFCN-TL) and applies it to the aerodynamic optimization of a 122 mm rocket projectile. The MFFCN-TL model was pre-trained on 1100 low-fidelity CFD samples and fine-tuned with 80 high-fidelity samples to predict the lift coefficient, drag coefficient, and pressure center, with Monte Carlo Dropout used to quantify uncertainty. The prediction performance of MFFCN-TL was first evaluated against several surrogate models, followed by single-objective and multi-objective optimizations of the tailfin design. In single-objective optimization, the goal was to maximize the lift-to-drag ratio by enhancing Bayesian optimization with a heteroscedastic Gaussian process and an improved upper confidence bound acquisition function, enabling the use of model uncertainty to guide the optimization process and balance exploration and precision. Multi-objective optimization employed multi-objective Bayesian optimization (MOBO) and the non-dominated sorting genetic algorithm II (NSGA-II) to balance the lift-to-drag ratio and drag coefficient, offering comprehensive design trade-offs. The results demonstrate that MFFCN-TL achieved determination coefficients of 0.9224, 0.9912, and 0.9688 for the drag coefficient, lift coefficient, and pressure center, respectively, surpassing other models. This method increased the lift-to-drag ratio by 37%, delivering optimization results comparable to CFD-based methods, while shortening the optimization time to 17.5 days from 26.5 days required by CFD. Multi-objective optimization produced a Pareto front and were validated by CFD simulations, confirming the reliability of the model. This approach provides an efficient and reliable solution for rapid tailfin design, significantly reducing computational cost while maintaining high accuracy.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107801"},"PeriodicalIF":4.4,"publicationDate":"2025-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143922280","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":"Strain sensor placement method considering operational loads for virtual sensing of structural deformation","authors":"Sungbo Lee, Phill-Seung Lee","doi":"10.1016/j.compstruc.2025.107763","DOIUrl":"10.1016/j.compstruc.2025.107763","url":null,"abstract":"<div><div>This paper presents a new sensor placement method for real-time virtual sensing of full-field structural deformation. Virtual sensing is a key technology for structural digital twins and structural health monitoring. In mode-based virtual sensing, the appropriate placement of a limited number of strain sensors is essential. The proposed method addresses sensor placement by calculating target strain fields from operational loads using a finite element model and determining the necessary number of basis vectors to achieve target accuracy. Among initially placed sensors, those that can estimate the target strain field with low error using the given basis vectors are selected, with additional consideration of condition numbers. The performance of the proposed method is demonstrated through various numerical examples. While existing sensor placement methods often yield inconsistent virtual sensing performance, the proposed method consistently provides reliable results across various conditions.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107763"},"PeriodicalIF":4.4,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143917937","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}
Zhuang Xiao , Weiwen Quan , Ivan Smirnov , Lingyun You
{"title":"Integrated experimental-computational approach for three-stage creep characterization of asphalt mixtures under coupled high temperature-humidity loading","authors":"Zhuang Xiao , Weiwen Quan , Ivan Smirnov , Lingyun You","doi":"10.1016/j.compstruc.2025.107794","DOIUrl":"10.1016/j.compstruc.2025.107794","url":null,"abstract":"<div><div>Rutting in asphalt pavements remains a critical challenge for infrastructure resilience under climate extremes. However, the effects of stress levels on the creep behavior of asphalt mixtures subjected to high temperature-humidity conditions have not been fully explored, especially when three-stage deformation occurs. Therefore, this study firstly proposes a five-parameter nonlinear viscoelastic model to characterize the fully-stage of the creep behavior, followed by the identified model parameters via the differential evolution algorithm. Subsequently, a Grünwald-Letnikov fractional calculus-based operator splitting algorithm, implemented via a user-defined material subroutine, achieves computational efficiency while preserving nonlinear fidelity. Finally, the creep test was simulated based on the compiled user material subroutine and finite element modeling. The results indicate that the proposed model can effectively characterize the three-stage deformation characteristics of asphalt mixtures under high temperature-humidity conditions. The Instantaneous elastic modulus under moisture conditions decreased by 27% compared to dry conditions. The proposed finite element implementation algorithm can effectively simulate the creep behavior of asphalt mixtures under different loading and moisture conditions.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107794"},"PeriodicalIF":4.4,"publicationDate":"2025-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143917935","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}
Minzhao Zhang , Jin Zhang , Junliang Ding , Bin Li
{"title":"An adaptive multi-task learning method for response prediction and optimal sensor placement","authors":"Minzhao Zhang , Jin Zhang , Junliang Ding , Bin Li","doi":"10.1016/j.compstruc.2025.107779","DOIUrl":"10.1016/j.compstruc.2025.107779","url":null,"abstract":"<div><div>Accurate and effective structural vibration response prediction is a fundamental yet challenging task in engineering. Despite extensive research endeavors, reliable multi-objective response prediction remains largely unexplored, which is due to two significant challenges: difficulties in sensor position selection and unbalanced response prediction across different tasks. To address these issues, an unbalanced sparse multi-task response prediction based on feature selection (USMuRFS) approach is proposed, which bridges the gap between predictive modeling and optimal sensor placement. Specifically, an adaptive multi-task prediction framework is designed, integrated with a sparsity-guided variable selection module to identify trustworthy sensors and multi-objective response prediction simultaneously. The innovative design of USMuRFS embodies two main aspects: first, USMuRFS incorporates an adaptive loss balancing module that encourages fair optimization of each sub-objective within the prediction tasks; second, a hybrid penalty is introduced to select sensors at the group-sparsity, individual-sparsity, and element-sparsity levels. These two components, i.e., the adaptive loss balancing module and sparsity regularized module, contribute to each other and constitute USMuRFS together. Experiments on synthetic datasets, standard aircraft models, and large commercial aircraft flight test datasets illustrate that USMuRFS distinctly outperforms previous approaches. This can provide reliable insights into optimal sensor placement in multi-task response prediction.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107779"},"PeriodicalIF":4.4,"publicationDate":"2025-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143912862","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":"Bayesian neural network based probability density evolution approach for efficient structural reliability analysis","authors":"Souvik Das , Sourav Das , Arunasis Chakraborty","doi":"10.1016/j.compstruc.2025.107807","DOIUrl":"10.1016/j.compstruc.2025.107807","url":null,"abstract":"<div><div>This study presents a unique proposal for the estimation of structural reliability using a Bayesian neural network (BNN)-based probability density evolution of the structural response. The advantage of this approach is that the probability space is decoupled from the physical space, which helps in reliability estimation for both static and dynamic cases. The problem is more prominent for dynamic systems where the traditional Fokker–Planck–Kolmogorov equation is coupled with the physical space, making it difficult to solve. Thus, a significant number of representative points are required for the numerical solution of the probability density function to achieve adequate accuracy, which is often computationally expensive for complex systems. This issue is addressed using a Bayesian neural network, which has an inherent ability to model aleatoric as well as epistemic uncertainty. To illustrate the proposed BNN-based probability density evaluation, six different problems are presented, which are a one-dimensional nonlinear oscillator, a Duffing oscillator, a composite beam, a portal frame, a planar truss, and a space truss. The first two examples are utilized to show the accuracy of the proposed method by comparing the results with the Fokker–Planck–Kolmogorov equation, the Euler–Maruyama-based solution, and Monte Carlo simulation. The numerical results of this study show that the proposed BNN-based probability density evaluation can predict the likelihood of failure using relatively few representative points without sacrificing accuracy, leading to a reduction in computational costs when compared to simulation or other traditional approaches. This approach is more generic for reliability estimation through a complete description of <em>pdf</em> as opposed to solving an optimization problem involving random variables.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107807"},"PeriodicalIF":4.4,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903815","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}
Hassan Mohamed Abdelalim Abdalla, Francesco De Bona, Daniele Casagrande
{"title":"Stress concentration optimization for functionally graded plates with noncircular holes","authors":"Hassan Mohamed Abdelalim Abdalla, Francesco De Bona, Daniele Casagrande","doi":"10.1016/j.compstruc.2025.107792","DOIUrl":"10.1016/j.compstruc.2025.107792","url":null,"abstract":"<div><div>In this paper, the minimization of the stress concentration due to noncircular holes and cutouts in functionally graded infinite plates subjected to uni-axial traction is considered. Under reasonable assumptions regarding the type of material variation, an optimization problem aimed at determining the best Young’s modulus distribution throughout the plate without prefixing its functional form is numerically solved. The solution technique involves embedding the isoparametric finite element method within a sequential quadratic programming algorithm for constrained nonlinear programming problems. Motivated by results of a recent study concerning infinite plates with a circular hole, this work presents a non-trivial generalization of the best tailoring approach for a broader class of geometrical discontinuities. Three practical examples such as elliptic holes, rectangular slots with semicircular ends and circular holes with opposite semicircular lobes are considered and numerical optimal solutions for the Young’s modulus distribution lead to elastic performance that outperforms the homogeneous and commonly employed prefixed gradation laws. The associated stress behavior is shown in graphical form for different stiffness ratios of the constituents, discussed and compared to the homogeneous plates.</div></div>","PeriodicalId":50626,"journal":{"name":"Computers & Structures","volume":"315 ","pages":"Article 107792"},"PeriodicalIF":4.4,"publicationDate":"2025-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143902069","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}