Mechanics Research Communications最新文献

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Nonlinear vibration of small-scale simply supported right triangular plates on Winkler foundation 温克勒基础上小尺度简支直角三角形板的非线性振动
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-10-27 DOI: 10.1016/j.mechrescom.2025.104544
Olga Mazur , Atul Bhaskar
{"title":"Nonlinear vibration of small-scale simply supported right triangular plates on Winkler foundation","authors":"Olga Mazur ,&nbsp;Atul Bhaskar","doi":"10.1016/j.mechrescom.2025.104544","DOIUrl":"10.1016/j.mechrescom.2025.104544","url":null,"abstract":"<div><div>Geometrically nonlinear vibrations of the micro/nanoplate with the triangular shape are studied. The research is based on the von Kármán relations and Kirchhoff–Love hypothesis. The small-scale effects are taken into account due to the implementation of the nonlocal elasticity theory. The Winkler model is employed to reproduce an elastic foundation. The governing displacement-based system is applied, while discretization of the system is performed by the Bubnov-Galerkin approach. The validation of the proposed approach involves a comparative study of linear frequencies and nonlinear frequency relations. Backbone curves are constructed for the right isosceles triangular nanoplate to investigate the appearance of small-scale effects.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104544"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145419901","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}
引用次数: 0
Impulsive shock wave propagation in granular packings under gravity 重力作用下颗粒填料中的脉冲激波传播
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-17 DOI: 10.1016/j.mechrescom.2025.104573
Siet van den Wildenberg , Xavier Nguyen , Arnaud Tourin , Xiaoping Jia
{"title":"Impulsive shock wave propagation in granular packings under gravity","authors":"Siet van den Wildenberg ,&nbsp;Xavier Nguyen ,&nbsp;Arnaud Tourin ,&nbsp;Xiaoping Jia","doi":"10.1016/j.mechrescom.2025.104573","DOIUrl":"10.1016/j.mechrescom.2025.104573","url":null,"abstract":"<div><div>We experimentally investigate the impulsive shock propagation caused by an impact into vertically oriented 3D granular packings under gravity. We observe a crossover of wave propagation, from sound excitation at low impact to shock front formation at high impact. One of our findings is a nonlinear acoustic regime prior to the shock regime in which the wave speed decreases with the particle-velocity amplitude due to frictional sliding and rearrangement. Also, we show that the impulsive shock waves at high impact exhibit a characteristic spatial width of approximately 10 particle diameters, regardless of shock amplitude. This finding is similar to that observed in 1D granular chains and appears to be independent of the contact microstructure, whether involving dry or weakly wet glass beads, or sand particles. The final and main finding is that we observe the coexistence of the shock front and the sound waves (ballistic propagation and multiple scattering), separated by a distinct time interval. This delay increases with impact amplitude, due to the increase shock speed on one hand and the decrease of the elastic modulus (and sound speed) in mechanically weakened granular packings by high impact on the other hand. Introducing a small amount of wetting oil into glass bead packings leads to significant viscous dissipation of scattered acoustic waves, while only slightly affecting the shock waves evidenced by a modest increase in shock front width. Our study reveals that shock-induced sound waves and scattering play an important role in shock wave attenuation within a mechanically weakened granular packing by impact. Investigating impact-driven wave propagation through such a medium also offers one way of interrogating a 3D FPUT-like system where nonlinear and linear forces between grains are involved.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104573"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145569261","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}
引用次数: 0
Axisymmetric buckling of an orthotropic cylindrical shell resting on elastic foundation with a nonlinear change of transverse displacement over thickness 弹性基础上正交各向异性圆柱壳横向位移随厚度非线性变化的轴对称屈曲
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-25 DOI: 10.1016/j.mechrescom.2025.104578
Alexander V. Lopatin , Alexander V. Shatov , Elijah A. Lopatin
{"title":"Axisymmetric buckling of an orthotropic cylindrical shell resting on elastic foundation with a nonlinear change of transverse displacement over thickness","authors":"Alexander V. Lopatin ,&nbsp;Alexander V. Shatov ,&nbsp;Elijah A. Lopatin","doi":"10.1016/j.mechrescom.2025.104578","DOIUrl":"10.1016/j.mechrescom.2025.104578","url":null,"abstract":"<div><div>This study addresses the axisymmetric buckling of a compressed orthotropic cylindrical shell resting on an elastic foundation using the Ritz method. The design energy functional is formulated based on the author’s model of elastic foundation deformation, which assumes that shell buckling induces only transverse displacement in the foundation, decaying nonlinearly through its thickness. The energy functional is expressed in terms of the shell’s longitudinal displacement and deflection. Application of the Ritz method yields a formula for determining the critical load. The influence of shell thickness, shell radius, and the foundation material’s modulus of elasticity on critical loads and decay parameters is examined. Critical load calculations are validated using the finite element method and compared with results from the Winkler and Pasternak foundation models. The practical application of the proposed approach is illustrated through an example involving the selection of shell and foundation parameters to support a specified compressive load.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104578"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618062","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}
引用次数: 0
Research on one-step inverse forming algorithm based on the improved gradient method 基于改进梯度法的一步反成形算法研究
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-23 DOI: 10.1016/j.mechrescom.2025.104565
Wei Chen , Tian Lv , Chao Chen , Jingxin Na
{"title":"Research on one-step inverse forming algorithm based on the improved gradient method","authors":"Wei Chen ,&nbsp;Tian Lv ,&nbsp;Chao Chen ,&nbsp;Jingxin Na","doi":"10.1016/j.mechrescom.2025.104565","DOIUrl":"10.1016/j.mechrescom.2025.104565","url":null,"abstract":"<div><div>In the frame of the one-step inverse forming algorithm, the improved gradient method is proposed for Newton-Raphson iterative computations, which replaces the previous iteration algorithm based on solving equations. This method commences from the element's unbalanced force, which is generated from variations of element shape in the finite element analysis. It continuously optimizes the node position coordinates to reduce the unbalanced force of the sheet metal. In each iteration step, the unbalanced force gradients of nodes, induced by small disturbances, are first calculated. The range normalization method is applied to calculate the node coordinates modifier. Along the descending direction of the unbalanced force gradient, the coordinates of the node on the initial blank are modified with the modification amount as the step length. Since the algorithm does not need to generate the overall stiffness matrix, nor does it need to solve the finite element equations, it avoids the local material yield instability leading to the ill-conditioned stiffness matrix, resulting in instability or non-convergence of the solution, which effectively improves the stability of the algorithm. Finally, the validity of the proposed algorithm is demonstrated by comparing the simulation results obtained by the method with those obtained through the module of the one-step inverse forming method in DYNAFORM and practical stamping parts.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104565"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145618061","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}
引用次数: 0
Derivation of strain gradient reduced models of thin architected plates and analysis of finite size effects 薄板结构应变梯度简化模型的推导及有限尺寸效应分析
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-10-30 DOI: 10.1016/j.mechrescom.2025.104557
Doha Kashoua , Jean-François Ganghoffer , Nam Do , Tarak Ben Zineb , Hilal Reda
{"title":"Derivation of strain gradient reduced models of thin architected plates and analysis of finite size effects","authors":"Doha Kashoua ,&nbsp;Jean-François Ganghoffer ,&nbsp;Nam Do ,&nbsp;Tarak Ben Zineb ,&nbsp;Hilal Reda","doi":"10.1016/j.mechrescom.2025.104557","DOIUrl":"10.1016/j.mechrescom.2025.104557","url":null,"abstract":"<div><div>A thin plate model has been developed for periodic architected materials composed of a hexagonal, centrosymmetric unit cell, based on homogenization theories within the framework of second gradient continuum mechanics. The development concerns both classical and higher-order effective material behaviours, using the Hill–Mandel energy equivalence condition for the derivation of the effective elastic moduli of the strain gradient effective continuum. This thin plate model has been elaborated by an asymptotic expansion method, reducing the 3D model to a 2D formulation under plane stress conditions, justified by the small thickness-to-length ratio, and focusing on pure bending situations. The bending modulus, derived from the strain gradient effective model, includes (beyond the classical bending modulus of plates) a non-classical term capturing microstructural influences, being of increasing importance when the number unit cells is reduced through the thickness direction. The derived analytical expression of the apparent bending modulus, accounting for size effects, is validated through fully resolved finite element simulations, confirming the model’s ability to accurately describe thin-plate bending response in the case of linear elasticity. The strain gradient contribution to the total bending moment is shown to become of paramount importance when the number of unit cells on the vertical edge decreases.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104557"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468545","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}
引用次数: 0
Detachment stability maps of bi-material composite fibrils 双材料复合纤维的分离稳定性图
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-10-30 DOI: 10.1016/j.mechrescom.2025.104555
András Levente Horváth, Attila Kossa
{"title":"Detachment stability maps of bi-material composite fibrils","authors":"András Levente Horváth,&nbsp;Attila Kossa","doi":"10.1016/j.mechrescom.2025.104555","DOIUrl":"10.1016/j.mechrescom.2025.104555","url":null,"abstract":"<div><div>In this study, we examine the detachment stability behavior of axisymmetric bi-material composite fibrils. Our goal is to determine the stable and unstable detachment domains as a function of different geometric and material parameters, such as layer thickness or the elastic modulus ratio. The numerical results are obtained using finite element simulations. Two cases are investigated: edge detachment and center detachment. We use the derivative of the energy release rate with respect to the contact surface area to determine the stability behavior. In our parametric study, we vary the dimensionless thickness of the soft tip layer, the ratio of the elastic moduli of the materials, and the Poisson’s ratio. The stability maps shown in the paper are based on the evaluation of more than half a million finite element simulations. Our results show that for both types of detachment, there exists a critical layer thickness above which only unstable detachment can develop. We also show that increasing the ratio of the elastic moduli increases the size of the stable region, but there is a lower limit below which no stable detachment is observed, regardless of the size of the defect. Reducing the Poisson’s ratio decreases the size of the stable region but has little effect on its overall shape. These new results contribute to a better understanding of the detachment mechanisms in composite fibrillar adhesive systems and provide a basis for further research on other material pairings and geometric configurations.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104555"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468543","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}
引用次数: 0
Revisiting Poiseuille flow through lens-shaped and figure-eight ducts 通过透镜形和8字形管道重新审视普塞维尔流
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-12 DOI: 10.1016/j.mechrescom.2025.104570
Vinícius Coutinho da Silva , André von Borries Lopes
{"title":"Revisiting Poiseuille flow through lens-shaped and figure-eight ducts","authors":"Vinícius Coutinho da Silva ,&nbsp;André von Borries Lopes","doi":"10.1016/j.mechrescom.2025.104570","DOIUrl":"10.1016/j.mechrescom.2025.104570","url":null,"abstract":"<div><div>We revisit steady, fully developed Poiseuille flow of a Newtonian fluid through lens-shaped and figure-eight ducts. Building on the work of Guo and Meroney (2013), we obtain an explicit analytical expression for the volumetric flow rate and, from it, closed-form evaluations of the Poiseuille number at selected angles across the lens–figure-eight family, including figure-eight geometries; to our knowledge, these closed forms are new. The formulation recovers the classical circular and right-angle lens benchmarks and extends prior lens-only tabulations to the full range. We identify three asymptotic regimes, namely thin lens, near circular, and strongly constricted figure-eight, and verify consistency between their expansions and the general solution within their respective ranges of validity. For practical use, we also provide a compact 6/6 Padé approximant for the Poiseuille number whose maximum relative error is about 0.012%. These closed-form evaluations and accurate approximations furnish convenient benchmarks for analysis, computation, and design involving multi-lobed duct cross-sections.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104570"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145520610","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}
引用次数: 0
A nonlinear correspondence model for three-dimensional continuum-kinematics-inspired peridynamics 三维连续运动学周动力学的非线性对应模型
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-12 DOI: 10.1016/j.mechrescom.2025.104563
A. Javili , E. Ekiz , P. Steinmann
{"title":"A nonlinear correspondence model for three-dimensional continuum-kinematics-inspired peridynamics","authors":"A. Javili ,&nbsp;E. Ekiz ,&nbsp;P. Steinmann","doi":"10.1016/j.mechrescom.2025.104563","DOIUrl":"10.1016/j.mechrescom.2025.104563","url":null,"abstract":"<div><div>Peridynamics (PD) is a nonlocal continuum mechanics theory that inherently allows for singularities and fracture. However, the classical PD theory restricts the Poisson ratio. This issue is rectified in continuum-kinematics-inspired peridynamics (CPD) that has been recently proposed. Because of its variational consistency and geometrically exact nature, CPD does not suffer from zero-energy modes, and thus, it furnishes an ideal nonlocal elasticity framework for large deformations. In a three-dimensional setting, CPD builds upon one-, two-, and three-neighbor interactions. One-neighbor interactions capture length-associated elasticity between pairs of points, equivalent to the original PD formalism. The two-neighbor interactions of CPD recover area-associated elasticity between triplet of points. The three-neighbor interactions of CPD recover volume-associated elasticity between quadruplet of points. This contribution provides for the first time a nonlinear correspondence material model for CPD in a three-dimensional setting such that it recovers a well-established compressible neo-Hookean energy density of nonlinear elasticity at large deformations. At small deformations, the proposed model reduces to classical isotropic linear elasticity. The current manuscript is the three-dimensional extension of the recent two-dimensional contribution of the authors.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104563"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145520611","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}
引用次数: 0
Discussion of issues related to the discrete and continuous modeling of physical systems 讨论有关物理系统的离散和连续建模的问题
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-11-29 DOI: 10.1016/j.mechrescom.2025.104585
Ronald E. Mickens , Talitha Washington
{"title":"Discussion of issues related to the discrete and continuous modeling of physical systems","authors":"Ronald E. Mickens ,&nbsp;Talitha Washington","doi":"10.1016/j.mechrescom.2025.104585","DOIUrl":"10.1016/j.mechrescom.2025.104585","url":null,"abstract":"<div><div>We investigate the relationship between difference equations and differential equations and show that, in general, complex relations exist between their mathematical structures. Next, we briefly examine the Fermi–Pasta–Ulam–Tsingou (FPUT)-problem and comment on a remark made by Zabusky in his 1962 article on solitons in FPUT-type models. This is followed by calculations which demonstrate that many of the well-known mathematical models for 1-dim heat conduction are special cases of differential equations that can be derived from space–time symmetry arguments. Of special interest is that we also find that for 1-dim heat conduction, the underlying micro-level discrete equations can be determined from knowledge of the macroscopic partial differential equations (PDEs). Our overall conclusion is that the discrete and continuous models of any given physical system give rise to mathematical structures which may be consistent with regard to certain features, but may differ greatly with respect to each other.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104585"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145684830","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}
引用次数: 0
Global bifurcations in a damped-driven diatomic granular crystal 阻尼驱动双原子颗粒晶体的全局分岔
IF 2.3 4区 工程技术
Mechanics Research Communications Pub Date : 2025-12-01 Epub Date: 2025-10-30 DOI: 10.1016/j.mechrescom.2025.104556
D. Pozharskiy , Ioannis G. Kevrekidis , Panayotis G. Kevrekidis
{"title":"Global bifurcations in a damped-driven diatomic granular crystal","authors":"D. Pozharskiy ,&nbsp;Ioannis G. Kevrekidis ,&nbsp;Panayotis G. Kevrekidis","doi":"10.1016/j.mechrescom.2025.104556","DOIUrl":"10.1016/j.mechrescom.2025.104556","url":null,"abstract":"<div><div>We revisit here the dynamics of an engineered dimer granular crystal under an external periodic drive in the presence of dissipation. Earlier findings included a saddle–node bifurcation, whose terminal point initiated the observation of chaos; the system was found to exhibit bistability and potential quasiperiodicity. We now complement these findings by the identification of unstable manifolds of saddle periodic solutions (saddle points of the stroboscopic map) within the system dynamics. We unravel how homoclinic tangles of these manifolds lead to the appearance of a chaotic attractor, upon the apparent period-doubling bifurcations that destroy invariant tori associated with quasiperiodicity. These findings complement the earlier ones, offering more concrete insights into the emergence of chaos within this high-dimensional, experimentally accessible system.</div></div>","PeriodicalId":49846,"journal":{"name":"Mechanics Research Communications","volume":"150 ","pages":"Article 104556"},"PeriodicalIF":2.3,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145468544","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}
引用次数: 0
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