Mechanics Research Communications最新文献

{"title":"Nonlinear simulation of under-resolved flows with shocks","authors":"J.M. Canfield ,&nbsp;L.G. Margolin ,&nbsp;C.S. Plesko","doi":"10.1016/j.mechrescom.2025.104584","DOIUrl":"10.1016/j.mechrescom.2025.104584","url":null,"abstract":"<div><div>We consider the numerical simulation of advection-dominated flows whose wide range of physical length scales exceed the memory capacity of finite computers. Simulating flows with shocks and turbulence presented challenges for the earliest computers that were quickly overcome by the development of new numerical methodology. Principal among those new ideas were artificial viscosity and finite volume methods, concepts that remain in common use today. We begin by describing the history of those methods, the innovators and their motivations. We then describe the development of finite scale theory, a reformulation of Navier–Stokes theory that exposes the physical principles on which artificial viscosity is based. We discuss the essential properties of the finite scale equations, <em>the observer, unresolved kinetic energy and inviscid energy dissipation</em>. We briefly consider the implementation of the finite scale equations on the computer from the point of view of Gisin’s conjectures about finite information.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104584"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145694925","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Artificial Intelligence for Dynamic Characterization of Composite Panel Structures: A Structured Review","authors":"Sina Sarfarazi ,&nbsp;Mariano Modano ,&nbsp;Marcello Fulgione","doi":"10.1016/j.mechrescom.2025.104607","DOIUrl":"10.1016/j.mechrescom.2025.104607","url":null,"abstract":"<div><div>Dynamic characterisation of composite panels in modular construction requires approaches that can capture scale effects, variability in manufacturing, and uncertain restraints. To investigate how artificial intelligence (AI) contributes in this field, we compiled a dataset of 2,085 papers from Scopus (2001–2025) and classified them into five methodological families: surrogate models, sequence learning, physics-informed neural networks (PINNs), inverse and optimisation approaches, and explainable AI (XAI). The dataset shows strong growth after 2016. Inverse and metaheuristic optimisation are the most common, especially for laminate lay-up, core design, and finite-element (FE) model updating. Surrogate models are widely used to emulate FE runs and accelerate calibration. Sequence models and PINNs remain smaller but are expanding, supporting time-history prediction and physics-consistent parameter identification under sparse data. XAI is the least developed area and is mostly used for feature attribution in optimisation or health monitoring tasks. In addition to classification, the review presents a clear framework hat connects each method to specific dynamic tasks and provides an interactive web-based GUI where readers can filter, inspect, and export the screened corpus. This combination of systematic mapping and open access to the database creates a transparent reference point for further studies and supports the development of reliable and scalable dynamic analysis frameworks for modular composite panels.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"151 ","pages":"Article 104607"},"PeriodicalIF":2.3,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791391","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Assessment of higher-order shear and normal deformation theory models for the thermoelastic analyses of functionally graded cylindrical shells","authors":"Ngoc Doan Tran","doi":"10.1016/j.mechrescom.2025.104545","DOIUrl":"10.1016/j.mechrescom.2025.104545","url":null,"abstract":"<div><div>This article presents a comprehensive assessment of displacement-based higher-order shear and normal deformation theories (HOSNTs) for the thermoelastic analysis of functionally graded (FG) cylindrical shells. For the first time, HOSNT models of various orders ranging from 3 to 7 are employed in conjunction with a one-step transverse stress recovery technique to investigate the through-thickness distribution of stress components and von Mises stress, particularly at the middle position and near-boundary zone. The governing equations and representative boundary conditions are derived based on the principle of virtual work, and the solution is obtained analytically using simple trigonometric series in combination with the Laplace transform method. The effective properties of the FG material are modeled as a power-law function of the radial coordinate. Comparisons are made between the obtained results and those available in the literature to validate the models. Parametric studies are conducted to assess the influence of shell relative thickness, boundary conditions, material non-homogeneity index, and combined thermomechanical loading on the through-thickness distributions of non-dimensional stresses. Based on both theoretical and numerical results, recommendations are proposed for the effective applicability ranges of different HOSNT models in the analysis of FG cylindrical shells subjected to thermomechanical loads.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104545"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145419898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Static analysis of functionally graded nanobeams based on Euler–Bernoulli and Timoshenko theories via complementary functions method","authors":"Ahmed Mohammad Wasfi Alhasan,&nbsp;Ahmad Reshad Noori","doi":"10.1016/j.mechrescom.2025.104571","DOIUrl":"10.1016/j.mechrescom.2025.104571","url":null,"abstract":"<div><div>This study investigates the static behavior of functionally graded (FG) nanobeams. Formulations are carried out using the Euler–Bernoulli and Timoshenko beam theories framework. The canonical governing equations are derived for the first time and solved using the Complementary Functions Method (CFM). The transverse deflections for a range of material gradient indices, nonlocal parameters, slenderness ratios, and different boundary conditions are obtained. Benchmark comparisons validate the accuracy of the proposed model, and new numerical data are presented for cantilever and clamped-supported beams. Results confirm that increased nonlocality and gradation amplify deflections, especially in thick beams where shear effects are significant. The findings affirm the CFM’s capability in accurately capturing scale-dependent mechanics, offering a reliable numerical platform for advanced nanoscale beam design.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104571"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145569263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Finite element simulation for finding shear wave velocity on the canine cornea and sensitivity analysis for IOP parameter","authors":"Pouria Mazinani ,&nbsp;Larry Murcia Terranova","doi":"10.1016/j.mechrescom.2025.104558","DOIUrl":"10.1016/j.mechrescom.2025.104558","url":null,"abstract":"<div><div>Understanding the mechanical properties of the canine cornea is crucial for improving diagnostic and therapeutic strategies in veterinary ophthalmology, particularly in the context of intraocular pressure (IOP) variations that can affect corneal health. This study aims to investigate shear wave velocity in the canine cornea through finite element simulations of shear wave elastography, utilizing ABAQUS Standard/Explicit (version 2023). The research was conducted in two phases: the first phase assessed the impact of varying IOP on corneal mechanics, while the second phase simulated shear wave propagation by applying an incident wave to the cornea, modeled as a hyperelastic Neo-Hookean material with a modified Maxwell viscoelastic framework. The results demonstrated that shear wave speeds in the canine cornea exhibited hyper-viscoelastic characteristics, and the sensitivity analysis revealed significant influences of IOP on shear wave velocity, aligning with findings from previous studies. These insights not only enhance our understanding of corneal mechanics but also highlight the potential of shear wave elastography as a valuable tool for improving surgical outcomes and personalized treatment strategies in veterinary practice, bridging the gap between veterinary and human ophthalmology.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104558"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"An investigation of thermoelastic behavior in periodic and functionally graded multilayered composite structures using tolerance modeling and finite element methods","authors":"Olga Szlachetka ,&nbsp;Ivan Giorgio","doi":"10.1016/j.mechrescom.2025.104546","DOIUrl":"10.1016/j.mechrescom.2025.104546","url":null,"abstract":"<div><div>In response to the increasing demand for accurate yet computationally efficient methods for analyzing modern composites under thermal loading, this study introduces a thermoelastic model for multicomponent, multilayer step-wise functionally graded materials (FGMs), based on the tolerance modeling approach. For the first time, the tolerance modeling method has been extended to the thermoelasticity equations of FGM structures comprising more than two components, which marks a clear departure from earlier studies mostly limited to two-component materials or, if for multi-component, then only for periodic structures. This extension enables a significantly more realistic representation of modern layered composites. Numerical verification of the model was performed using Mathematica and COMSOL Multiphysics, enabling assessment of both accuracy and predictive capability. Deviations from COMSOL-based reference results did not exceed 7 % for both periodic and step-wise FGM structures, confirming the high reliability of the approach. Unlike existing methods, which are often either oversimplified or extremely computationally demanding, the developed model provides a realistic description of structural behavior while requiring considerably less computational effort than classical finite element methods (FEM). The analysis has direct practical relevance to the design of components exposed to high thermal gradients, such as thermal shields in aerospace applications, layered partitions in energy-efficient buildings, and electronic device components. Accurate prediction of displacement and thermal stress distributions facilitates optimization of geometry and material layout, reducing stress concentrations and minimizing damage risk. A comparative analysis of analytical and numerical results under identical boundary conditions and geometries confirms that the tolerance model successfully captures the behavior of FGM structures while keeping computational costs low. The conclusions further indicate that ordered, symmetric layering reduces deformation, whereas asymmetry and abrupt material transitions lead to localized stress concentrations. The novel methodology not only broadens existing modeling capabilities but is also flexible and can be adapted to a wide spectrum of modern layered structures, enhancing its potential for practical engineering applications.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104546"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145366175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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-stiffening in elastic solids reinforced by stiff wavy fibers","authors":"Ryan C. McAvoy","doi":"10.1016/j.mechrescom.2025.104568","DOIUrl":"10.1016/j.mechrescom.2025.104568","url":null,"abstract":"<div><div>This paper investigates the global force–displacement response of a nonlinear elastic solid embedded with a continuous distribution of stiff wavy fibers. Focus is directed towards understanding the strain-stiffening response present during finite tensile deformations and determining whether phenomenological strain-stiffening models can capture this emergent multiscale behavior. The underlying model constitutively incorporates fiber bending effects <em>via</em> a modified Cosserat framework. Numerical simulations indicate that increasing fiber waveform amplitude and mode number delays stiffening. Furthermore, conventional strain-stiffening models faithfully reproduce the material response in the case of sufficiently crimped fibers. The former suggests that strain-dependent stiffness could be programmed into an elastic metamaterial during manufacturing to meet design requirements, while the latter reveals that phenomenological models can be employed to understand their global behavior.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104568"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145569265","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Buckling analysis of periodic elastic trusses by homogenization","authors":"Stanislas Antczak,&nbsp;Antoine Rallu,&nbsp;Claude Boutin","doi":"10.1016/j.mechrescom.2025.104561","DOIUrl":"10.1016/j.mechrescom.2025.104561","url":null,"abstract":"<div><div>This paper addresses the determination of buckling loads and mode shapes for periodic reticulated linear elastic structures. The study focuses on a family of ladder beams – 1D periodic structures with a frame unit cell – in the context of plane displacements.</div><div>The method relies on the asymptotic homogenization of periodic discrete media. The discrete equilibrium equations are linearized around a prestressed configuration, and homogenized under a scale-separation assumption between the unit-cell size and the characteristic length of the mode amplitude variations.</div><div>The original contributions are: (i) the ability to consider different stiffness ratios between the elements of the structure, (ii) the derivation of effective beam models whose parameters depend on the prestress, (iii) the consideration of both symmetric or asymmetric loadings, and (iv) formulations with mono- or multi-cell periodicity, enabling the identification of both short- and long-wavelength buckling modes.</div><div>Experiments conducted on 3D-printed ladder beams confirmed the buckling modes and loads predicted by the analytical models. These models are also validated against finite element calculations.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104561"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145520607","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Geometrically nonlinear bending response of three-directionally symmetric functionally graded plates using the Pb2-Ritz method","authors":"Huu-Quoc Tran,&nbsp;Van-Long Nguyen","doi":"10.1016/j.mechrescom.2025.104583","DOIUrl":"10.1016/j.mechrescom.2025.104583","url":null,"abstract":"<div><div>This paper presents a nonlinear static bending analysis of three-directionally symmetric functionally graded material (3DS-FGM) plates resting on Pasternak elastic foundations. The material properties are assumed to vary smoothly and symmetrically along the thickness and two in-plane directions according to a power-law distribution. The nonlinear governing equations are derived using Reddy’s higher-order shear deformation theory and the Pb2-Ritz method, which allows efficient treatment of various boundary conditions, and solved by Newton-Raphson iterative method. The main scientific novelty of the work lies in the successful development of a variational framework capable of handling the fully coupled complex 3D material hierarchy and geometric nonlinearities. The plate stiffness coefficients are fully integrated into the Pb2-Ritz stiffness matrix, ensuring the required physical accuracy. The used Pb2-Ritz method significantly reduces the computational cost of processing non-separable material integrals arising from the 3DS-FGM model, outperforming traditional numerical methods. The convergence and accuracy of the present formulation is validated through comparison with benchmark solutions available in the literature. Parametric studies are performed to investigate the effects of material gradient indices, plate aspect and thickness ratios, boundary conditions, load types and foundation stiffness on the nonlinear bending behavior. The results reveal that three-dimensional gradation provides significant flexibility in structural response tailoring, which is beneficial for high-performance applications involving spatially nonhomogeneous materials.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104583"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145684829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlocal elastic plate problems via iterative method","authors":"Andrea Caporale ,&nbsp;Marzia Sara Vaccaro ,&nbsp;Raffaele Barretta ,&nbsp;Raimondo Luciano","doi":"10.1016/j.mechrescom.2025.104538","DOIUrl":"10.1016/j.mechrescom.2025.104538","url":null,"abstract":"<div><div>Elastostatics of nanoplates is addressed via an effective iterative procedure. An integral theory of elasticity is exploited to capture size effects in thin plates. The governing nonlocal elastic problem is represented by an integro-differential formulation, whose resolution is particularly demanding. Moreover, extending solution methodologies to general plate geometries and arbitrary boundary and loading conditions is a complex issue to address. To overcome these limitations, an effective iterative method is proposed. Such an algorithm relies solely on the solution of standard local elastostatic problems. Indeed, according to the iterative scheme, the nonlocal solution is obtained by solving a sequence of local problems. The presented methodology accommodates arbitrary nanoplate geometries and general kernels of the constitutive integral law, ensuring broad applicability and making it suitable for modeling a wide spectrum of nanoengineered systems.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104538"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145419900","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}