Journal of Applied Mechanics最新文献_第4页

STABILITY OF A MULTI-SPAN CURRENT CARRYING BEAM RESTING ON PERIODIC SUPPORTS AND EXPOSED TO AN EXTERNAL MAGNETIC FIELD 位于周期性支撑物上并暴露于外部磁场的多跨载流梁的稳定性

Journal of Applied Mechanics Pub Date : 2024-02-22 DOI: 10.1115/1.4064821

Ara Avetisyan, Karen Ghazaryan, Pier Marzocca

引用次数: 0

Propagation of the fundamental Lamb modes in strain stiffened hard-magnetic soft plates 应变加固硬磁软板中基本 Lamb 模式的传播

Journal of Applied Mechanics Pub Date : 2024-02-19 DOI: 10.1115/1.4064789

Asesh Patra, Atul Kumar Sharma, D. Joglekar, M. Joglekar

{"title":"Propagation of the fundamental Lamb modes in strain stiffened hard-magnetic soft plates","authors":"Asesh Patra, Atul Kumar Sharma, D. Joglekar, M. Joglekar","doi":"10.1115/1.4064789","DOIUrl":"https://doi.org/10.1115/1.4064789","url":null,"abstract":"\u0000 This study focuses on investigating hard magnetic soft materials, characterized by magneto-active polymers containing magnetically polarized particles as fillers. The research utilizes the Gent model of hyperelasticity to analyze the propagation of Lamb waves in a magnetically induced deformed compressible plate. In this investigation we explore both finite deformations and incremental wave propagation in nonlinear hard-magnetic soft materials. The main objective is to formulate the elastic tensor and relevant wave equations within the framework of Lagrangian space. To assess the dispersion characteristics of the guided wave, the study introduces and discusses an extension of the Semi Analytical Finite Element (SAFE) method. Using this numerical approach, the research further examines the effects of magnetic flux densities and its orientation with respect to wave propagation direction on the dispersion characteristics of the fundamental Lamb modes. The study starts by examining the limiting case of the neo-Hookean material model to explain such inherent dependencies. These dependencies are then further emphasized by including the strain-stiffening effect that the Gent material model describes. The research findings reveal the presence of a threshold applied magnetic flux, beyond which the Gent-type material may undergo a snap-through instability, resulting in changes in the dispersion characteristics of the fundamental symmetric Lamb mode.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"90 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140451350","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Three-dimensional general solutions of orthorhombic quasicrystals with constraints 带约束条件的正交准晶体的三维通解

Journal of Applied Mechanics Pub Date : 2024-02-19 DOI: 10.1115/1.4064788

Jin-ming Zhang, Liangliang Zhang, Xiang Mu, Yang Gao, Ernian Pan

引用次数: 0

Elastic-gap free formulation in strain gradient plasticity theory 应变梯度塑性理论中的无弹性间隙公式

Journal of Applied Mechanics Pub Date : 2024-02-19 DOI: 10.1115/1.4064790

Anjan Mukherjee, Biswanath Banerjee

{"title":"Elastic-gap free formulation in strain gradient plasticity theory","authors":"Anjan Mukherjee, Biswanath Banerjee","doi":"10.1115/1.4064790","DOIUrl":"https://doi.org/10.1115/1.4064790","url":null,"abstract":"\u0000 This paper presents an elastic-gap free isotropic higher-order strain gradient plasticity theory that effectively captures dissipation associated to plastic strain gradients. Unlike conventional methods that divide the higher-order stress, this theory focuses on dividing the plastic strain gradient into energetic and dissipative components. The moment stress that arises from minimizing a dissipating potential demonstrates a nonlinear evolution over time, resembling the Armstrong-Frederick nonlinear kinematic hardening rule in classical plasticity. The thermodynamically consistent framework establishes additional dissipation in the dissipation inequality. The energetic moment stress saturates as the effective plastic strain increases during plastic flow. In contrast to the Gurtin-type non-incremental model, the proposed model smoothly captures the apparent strengthening at saturation without causing a stress jump. A passivated shear layer is analytically assessed to demonstrate that the proposed theory exhibits the same amount of dissipation as the existing Gurtin-type model when they show similar shear responses at saturation. It is also shown that the plastic flow remains continuous under non-proportional loading conditions using an intermediately passivated shear layer problem. Finally, the proposed theory is validated against a recent experiment involving combined bending torsion of an L-shaped beam using a 3D finite element solution. Overall, the proposed model provides an alternative approach to evaluating the size effect within the non-incremental isotropic strain gradient plasticity theory without introducing any stress jump.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"14 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139958666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Erratum: “On the Analysis of Periodically Heterogenous Beams” (Journal of Applied Mechanics, 83(9), 091001 (13 pages), 2016) 勘误：《论周期异质梁的分析》（《应用力学学报》，83（9），091001（13 页），2016 年）

Journal of Applied Mechanics Pub Date : 2024-02-07 DOI: 10.1115/1.4064683

Yanze Xiao, Shilei Han, Olivier Bauchau

引用次数: 0

Erratum: “On the Analysis of Periodically Heterogenous Beams” (Journal of Applied Mechanics, 83(9), 091001 (13 pages), 2016) 勘误：《论周期异质梁的分析》（《应用力学学报》，83（9），091001（13 页），2016 年）

Journal of Applied Mechanics Pub Date : 2024-02-07 DOI: 10.1115/1.4064683

Yanze Xiao, Shilei Han, Olivier Bauchau

引用次数: 0

The post-buckling behavior of a beam constrained by nonlinear springy walls 受非线性弹力墙约束的梁的后屈曲行为

Journal of Applied Mechanics Pub Date : 2024-02-07 DOI: 10.1115/1.4064684

Nitzan Judah, Sefi Givli

{"title":"The post-buckling behavior of a beam constrained by nonlinear springy walls","authors":"Nitzan Judah, Sefi Givli","doi":"10.1115/1.4064684","DOIUrl":"https://doi.org/10.1115/1.4064684","url":null,"abstract":"\u0000 The post-buckling behavior of a beam that is subjected to lateral constraints is of relevance to a range of medical and engineering applications, such as endoscopic examination of internal organs, the insertion of a guidewire into an artery in stent procedures, root growth, deep drilling, and more. In this paper we address a disconnect between the existing literature and the reality of these systems, in which the lateral constraints are flexible and experience nonlinear deformations. As a step towards bridging this gap, we consider a beam undergoing planar deformations that is laterally constrained by a non-linear springy wall, i.e. a wall that is laterally pushed by the beam against a non-linear spring. Based on a simplified mathematical model, we obtain closed form analytical solutions, which provide valuable insights and intuition. For example, we show that important features of the behavior, such as transition from point contact to line contact and switching to the next mode, are dictated solely by a non-dimensional force, regardless of all other parameters of the system, and that the full description of the behavior is possible by means of two non-dimensional quantities that describe the relative stiffness of the nonlinear spring compared to that of the beam. The results also highlight the fundamental differences between the behavior with a stiffening spring or with a softening spring, such as the number of attainable modes and the monotonicity of the overall force-displacement relation. These results are then validated by experiments.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"16 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139795884","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

The post-buckling behavior of a beam constrained by nonlinear springy walls 受非线性弹力墙约束的梁的后屈曲行为

Journal of Applied Mechanics Pub Date : 2024-02-07 DOI: 10.1115/1.4064684

Nitzan Judah, Sefi Givli

{"title":"The post-buckling behavior of a beam constrained by nonlinear springy walls","authors":"Nitzan Judah, Sefi Givli","doi":"10.1115/1.4064684","DOIUrl":"https://doi.org/10.1115/1.4064684","url":null,"abstract":"\u0000 The post-buckling behavior of a beam that is subjected to lateral constraints is of relevance to a range of medical and engineering applications, such as endoscopic examination of internal organs, the insertion of a guidewire into an artery in stent procedures, root growth, deep drilling, and more. In this paper we address a disconnect between the existing literature and the reality of these systems, in which the lateral constraints are flexible and experience nonlinear deformations. As a step towards bridging this gap, we consider a beam undergoing planar deformations that is laterally constrained by a non-linear springy wall, i.e. a wall that is laterally pushed by the beam against a non-linear spring. Based on a simplified mathematical model, we obtain closed form analytical solutions, which provide valuable insights and intuition. For example, we show that important features of the behavior, such as transition from point contact to line contact and switching to the next mode, are dictated solely by a non-dimensional force, regardless of all other parameters of the system, and that the full description of the behavior is possible by means of two non-dimensional quantities that describe the relative stiffness of the nonlinear spring compared to that of the beam. The results also highlight the fundamental differences between the behavior with a stiffening spring or with a softening spring, such as the number of attainable modes and the monotonicity of the overall force-displacement relation. These results are then validated by experiments.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"15 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139855729","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Perspective on Plasticity, Dissipation and the 2nd Law of Thermodynamics 塑性、耗散和热力学第二定律透视

Journal of Applied Mechanics Pub Date : 2024-02-02 DOI: 10.1115/1.4064700

Alan Needleman

{"title":"A Perspective on Plasticity, Dissipation and the 2nd Law of Thermodynamics","authors":"Alan Needleman","doi":"10.1115/1.4064700","DOIUrl":"https://doi.org/10.1115/1.4064700","url":null,"abstract":"\u0000 The requirement of a non-negative dissipation rate for all possible deformation histories is generally imposed on plastic constitutive relations. This is a constraint analogous to the Coleman-Noll [1] postulate that the Clausius-Duhem inequality needs to be satisfied for all possible deformation histories. The physical basis for the Clausius-Duhem inequality is as a statistical limit for a large number of discrete events for a long time and is not a fundamental physical requirement for small systems for a short time. The relation between the requirement of a non-negative dissipation rate and the Clausius-Duhem inequality is considered. The consequences of imposing a non-negative dissipation rate for all possible deformation histories are illustrated for: (i) a single crystal plasticity framework that accounts for elastic lattice curvature changes as well as elastic lattice straining; and (ii) for discrete defect theories of plasticity, with attention specifically on discrete dislocation plasticity for crystalline solids and discrete shear transformation zone (STZ) plasticity for amorphous solids. Possible less restrictive conditions on the evolution of dissipation in plasticity formulations are considered as are implications for stability. The focus is on open questions and issues.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"126 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139870934","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A Perspective on Plasticity, Dissipation and the 2nd Law of Thermodynamics 塑性、耗散和热力学第二定律透视

Journal of Applied Mechanics Pub Date : 2024-02-02 DOI: 10.1115/1.4064700

Alan Needleman

{"title":"A Perspective on Plasticity, Dissipation and the 2nd Law of Thermodynamics","authors":"Alan Needleman","doi":"10.1115/1.4064700","DOIUrl":"https://doi.org/10.1115/1.4064700","url":null,"abstract":"\u0000 The requirement of a non-negative dissipation rate for all possible deformation histories is generally imposed on plastic constitutive relations. This is a constraint analogous to the Coleman-Noll [1] postulate that the Clausius-Duhem inequality needs to be satisfied for all possible deformation histories. The physical basis for the Clausius-Duhem inequality is as a statistical limit for a large number of discrete events for a long time and is not a fundamental physical requirement for small systems for a short time. The relation between the requirement of a non-negative dissipation rate and the Clausius-Duhem inequality is considered. The consequences of imposing a non-negative dissipation rate for all possible deformation histories are illustrated for: (i) a single crystal plasticity framework that accounts for elastic lattice curvature changes as well as elastic lattice straining; and (ii) for discrete defect theories of plasticity, with attention specifically on discrete dislocation plasticity for crystalline solids and discrete shear transformation zone (STZ) plasticity for amorphous solids. Possible less restrictive conditions on the evolution of dissipation in plasticity formulations are considered as are implications for stability. The focus is on open questions and issues.","PeriodicalId":508156,"journal":{"name":"Journal of Applied Mechanics","volume":"128 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139810680","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0