Mathematics and Mechanics of Solids最新文献_第4页

Special issue: “Integrated approaches for the mechanics of masonry structures: Novel strategies for experimental characterization, mathematical modelling and computer simulations” 特刊："砌体结构力学的综合方法：实验表征、数学建模和计算机模拟的新策略"

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-30 DOI: 10.1177/10812865241256800

Roberto Fedele, Gabriele Milani, Francesco dell’Isola

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Thermal effect on the transient behavior of a piezomagnetic half-space subjected to dynamic anti-plane load 热效应对承受动态反面载荷的压磁半空间瞬态行为的影响

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-27 DOI: 10.1177/10812865241251470

Xiang Zhou, Guoshuang Shui

{"title":"Thermal effect on the transient behavior of a piezomagnetic half-space subjected to dynamic anti-plane load","authors":"Xiang Zhou, Guoshuang Shui","doi":"10.1177/10812865241251470","DOIUrl":"https://doi.org/10.1177/10812865241251470","url":null,"abstract":"Considering the importance of understanding the propagation of transient waves in the piezomagnetic solids, the thermal effect on the transient behavior of a piezomagnetic half-space subjected to dynamic anti-plane load is investigated analytically in this paper. Using one-sided, two-sided Laplace transformation and Cagniard–de Hoop (CH) technique, an efficient and accurate analytical derivation for the solution of the anti-plane displacement, shear stress, magnetic potential, and induction in Laplace domain is presented. The study shows that the thermal stresses developed in x-axis and y-axis directions have significant influence on the transient response of the half-space. The magnetic induction [Formula: see text] increases obviously when the thermal stress is applied in x-axis direction, while it decreases when the thermal stress is applied in y-axis direction. Approaching time of magnetic induction [Formula: see text] and [Formula: see text] will become longer with higher thermal stress in x-axis direction. With the growth of the thermal stress in x-direction, contribution from the electromagnetic–elastic head (EH) wave increases, while the contribution from the shear elastic (SE) wave and the static value of shear stress decrease.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"48 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141168571","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}

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Homogenization of nonlinear Cosserat plate including growth theory when the thickness of the plate and the size of the in-plane heterogeneities are of the same order of magnitude 当板厚度和面内异质大小处于同一数量级时，包括生长理论在内的非线性 Cosserat 板的均质化问题

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-13 DOI: 10.1177/10812865241243086

Erick Pruchnicki

{"title":"Homogenization of nonlinear Cosserat plate including growth theory when the thickness of the plate and the size of the in-plane heterogeneities are of the same order of magnitude","authors":"Erick Pruchnicki","doi":"10.1177/10812865241243086","DOIUrl":"https://doi.org/10.1177/10812865241243086","url":null,"abstract":"In this work, we present a new two-scale finite-strain plate theory for highly heterogeneous plates described by a repetitive periodic microstructure. Two scales exist, the macroscopic scale is linked to the entire plate and the microscopic one is linked to the size of the heterogeneity. This work aims to propose such a theory for thick plates in a nonlinear setting when the thickness and the size of heterogeneities are of the same order of magnitude. The homogenization theory for large deformation with growth is suitable for the modelization of nearly incompressible plant tissue. This model is suitable for wavy leaves. For thick plates, the transverse normal stress and transverse shearing are modelized at both microscopic and macroscopic levels. At the macroscopic level, we consider a nonlinear Cosserat plate model. At the microscopic level, we impose that the average of contribution of the microscopic displacement to rotation angles is equal to zero. We also deal with the problem of boundary layer problem near the lateral boundary. The model recently proposed by Pruchnicki is valid for thin heterogeneous plates; we present an extension for thick plates that takes into account both transverse normal stress and shearing. This model is equivalent to the first model presented but it involves a second-order derivative of the macroscopic displacement field.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"68 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140940646","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

Flexural–torsional buckling with enforced axis of twist and related problems 具有强制扭转轴的挠曲扭转屈曲及相关问题

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-10 DOI: 10.1177/10812865241239647

Ciprian D Coman, Andrew P Bassom

{"title":"Flexural–torsional buckling with enforced axis of twist and related problems","authors":"Ciprian D Coman, Andrew P Bassom","doi":"10.1177/10812865241239647","DOIUrl":"https://doi.org/10.1177/10812865241239647","url":null,"abstract":"The classical lateral–torsional instability of a cantilever beam with continuous elastic lateral restraint and a transverse point-load applied at the free end is discussed here through the lens of asymptotic simplifications. One of our main goals is to provide analytical approximations for the critical buckling load, as well as its dependence on various key non-dimensional groups. The first part of this study is concerned with a scenario in which a doubly symmetric beam is constrained to rotate about a fixed axis situated at an arbitrary height above the shear centroidal axis. The second part examines a beam that features a continuous elastic lateral restraint spanning its entire length. Assuming that the stiffness of the constraint, [Formula: see text] (say), is finite, the buckling equations in the second case are described by a system of two coupled fourth-order differential equations in the lateral displacement and the angle of twist. We show that as [Formula: see text], the problem discussed in the first part provides an outer solution for the aforementioned system; the relevant boundary conditions for the next-to-leading-order outer approximation are also derived using matched asymptotics. Our theoretical findings are confirmed by comparisons with direct numerical simulations of the full buckling problem.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"48 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140940555","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

Initiation of decohesion between a flat punch and a thin bonded incompressible layer 平冲头与不可压缩的薄粘合层之间的解粘性启动

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-07 DOI: 10.1177/10812865241240484

Ivan I Argatov, Gennady S Mishuris, Valentin L Popov

引用次数: 0

Stability of arches with internal hinge 带内铰链拱门的稳定性

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-06 DOI: 10.1177/10812865241245338

László Péter Kiss

引用次数: 0

A note on the Hill–Ogden generalised strains 关于希尔-奥格登广义应变的说明

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-04 DOI: 10.1177/10812865241233675

Salvatore Federico

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A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations 受力构型中圆柱变形的混合触发体积增长定律

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-05-02 DOI: 10.1177/10812865241242998

Xin Zhuan, Debao Guan, Hao Gao, Peter Theobald, Xiaoyu Luo

{"title":"A mixed trigger volumetric growth law for cylindrical deformation in stressed configurations","authors":"Xin Zhuan, Debao Guan, Hao Gao, Peter Theobald, Xiaoyu Luo","doi":"10.1177/10812865241242998","DOIUrl":"https://doi.org/10.1177/10812865241242998","url":null,"abstract":"Soft tissue growth is crucial across various physiological applications, with mathematical modelling playing a pivotal role in understanding the underlying processes. The volumetric growth theory serves as a commonly used mathematical framework in this context. Our previous research on volumetric growth theory primarily concentrated on defining the incremental growth tensor in loaded and stressed configurations, revealing that this approach closely aligns with experimental observations of residual hoop stress distribution. However, given the assumptions employed, the approach has limitations in accurately predicting the growth timeline. In this work, we address these issues by incorporating the effect of initial residual strain and introducing a new mixed trigger growth evolution law. In this growth law, we do not use growth saturation as an upper limit, as this assumption cannot represent many physiological conditions. Instead, we propose that growth in soft tissues leads to a new equilibrium state. To illustrate this idea, we introduce a growth incompatibility function, denoted as [Formula: see text]. We establish the analytical relationship between [Formula: see text] and the opening angle in a simplified cylindrical geometry resembling the structure of the heart or arteries. We put forth a revised growth law that is both stress and incompatibility driven/Our results show that by using this mixed trigger growth law, tissues will not grow indefinitely. Instead, a stress-driven homeostasis incompatibility state will be reached. In addition, by accounting for the initial opening angle in the model, we can accurately trace the growth history of the heart, aligning with experimental data obtained from measuring the opening angle in young pigs from birth to maturity.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"64 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140838531","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

Connecting weakly nonlinear elasticity theories of isotropic hyperelastic materials 连接各向同性超弹性材料的弱非线性弹性理论

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-04-27 DOI: 10.1177/10812865241238985

Yangkun Du, Nicholas A Hill, Xiaoyu Luo

引用次数: 0

Reduced model and nonlinear analysis of localized instabilities of residually stressed cylinders under axial stretch 轴向拉伸下残余应力圆柱体局部不稳定性的简化模型和非线性分析

IF 2.6 4区工程技术

Mathematics and Mechanics of Solids Pub Date : 2024-04-26 DOI: 10.1177/10812865241242432

Yang Liu, Xiang Yu, Luis Dorfmann

{"title":"Reduced model and nonlinear analysis of localized instabilities of residually stressed cylinders under axial stretch","authors":"Yang Liu, Xiang Yu, Luis Dorfmann","doi":"10.1177/10812865241242432","DOIUrl":"https://doi.org/10.1177/10812865241242432","url":null,"abstract":"In this paper, we present a dimensional reduction to obtain a one-dimensional model to analyze localized necking or bulging in a residually stressed circular cylindrical solid. The nonlinear theory of elasticity is first specialized to obtain the equations governing the homogeneous deformation. Then, to analyze the nonhomogeneous part, we include higher-order correction terms of the axisymmetric displacement components leading to a three-dimensional form of the total potential energy functional. Details of the reduction to the one-dimensional form are given. We focus on a residually stressed Gent material and use numerical methods to solve the governing equations. Two loading conditions are considered. First, the residual stress is maintained constant, while the axial stretch is used as the loading parameter. Second, we keep the pre-stretch constant and monotonically increase the residual stress until bifurcation occurs. We specify initial conditions, find the critical values for localized bifurcation, and compute the change in radius during localized necking or bulging growth. Finally, we optimize material properties and use the one-dimensional model to simulate necking or bulging until the Maxwell values of stretch are reached.","PeriodicalId":49854,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"19 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140801136","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