Continuum Mechanics and Thermodynamics最新文献

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The coupled Legendre-Hadamard condition for fiber-reinforced materials: three-dimensional solids and two-dimensional shells
IF 2.6 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-24 DOI: 10.1007/s00161-025-01357-0
Mircea Bîrsan, Milad Shirani, David J. Steigmann
{"title":"The coupled Legendre-Hadamard condition for fiber-reinforced materials: three-dimensional solids and two-dimensional shells","authors":"Mircea Bîrsan, Milad Shirani, David J. Steigmann","doi":"10.1007/s00161-025-01357-0","DOIUrl":"https://doi.org/10.1007/s00161-025-01357-0","url":null,"abstract":"<p>Detailed derivations of the Legendre-Hadamard necessary conditions for energy-minimizing states of fiber-reinforced three-dimensional solids and two-dimensional shells are presented. The underlying conceptual framework is Cosserat elasticity theory in which the Cosserat rotation field controls the orientation of the embedded fibers. This is partially coupled to the continuum deformation gradient by the requirement that the fibers convect as material curves with respect to the matrix material in which they are embedded. The conditions obtained combine the effects of deformation and rotation and subsume previously obtained decoupled inequalities involving these effects separately.</p>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"25 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143027183","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 model for elastic half space under a visco-elastic layer in generalized thermoelasticity
IF 2.6 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-23 DOI: 10.1007/s00161-024-01345-w
S. E. Khader, A. A. Marrouf, M. Khedr
{"title":"A model for elastic half space under a visco-elastic layer in generalized thermoelasticity","authors":"S. E. Khader, A. A. Marrouf, M. Khedr","doi":"10.1007/s00161-024-01345-w","DOIUrl":"https://doi.org/10.1007/s00161-024-01345-w","url":null,"abstract":"<p>We consider a model of two layers for two cases. In the first case, a viscoelastic upper layer over an elastic half-space. In the second case, an elastic upper layer over a viscoelastic half-space. The upper layer’s surface is taken to be traction-free and is subjected to a constant thermal shock. This model is solved in the context of the generalized thermoelasticity theory with one relaxation time. Laplace transform techniques are used. The inverse Laplace transforms are obtained using a numerical method based on the Fourier expansion technique. Numerical results are computed and represented graphically for the temperature, displacement, and stress distributions. This work may be useful in the design of materials used in thermal insulation, vibration reduction, and applications in microelectronics.</p>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"11 1","pages":""},"PeriodicalIF":2.6,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143027149","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 study of a thermoelastic body possessing microtemperatures 具有微温度的热弹性体的研究
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-14 DOI: 10.1007/s00161-025-01359-y
Marin Marin, Andreas Öchsner, Sorin Vlase, Hamid M. Sedighi, Stefan Pirlog
{"title":"A study of a thermoelastic body possessing microtemperatures","authors":"Marin Marin,&nbsp;Andreas Öchsner,&nbsp;Sorin Vlase,&nbsp;Hamid M. Sedighi,&nbsp;Stefan Pirlog","doi":"10.1007/s00161-025-01359-y","DOIUrl":"10.1007/s00161-025-01359-y","url":null,"abstract":"<div><p>In our study we approach a Cosserat thermoelastic body in which we take into account both the usual temperature and the microtemperature, that is, the temperature of the microparticles of the body. After constructing the mixed problem with initial and boundary values, in this context, we define an appropriate Hilbert space in which we obtain a temporal evolutionary equation which is equivalent to the already constructed mixed problem. With the help of some known results from the theory of contraction semigroups we prove both the existence and the uniqueness of the solution of the evolution equation, therefore of the considered mixed problem. Furthermore, the same semigroup theory allows us to obtain the continuous dependence of the solution of the mixed problem, both with respect to the initial data and with respect to the loading.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-025-01359-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142975184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Seismic capacity of purely compressed shells based on Airy stress function 基于Airy应力函数的纯压缩壳抗震性能
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-09 DOI: 10.1007/s00161-024-01350-z
Carlo Olivieri, Sam Cocking, Francesco Fabbrocino, Antonino Iannuzzo, Luca Placidi, Sigrid Adriaenssens
{"title":"Seismic capacity of purely compressed shells based on Airy stress function","authors":"Carlo Olivieri,&nbsp;Sam Cocking,&nbsp;Francesco Fabbrocino,&nbsp;Antonino Iannuzzo,&nbsp;Luca Placidi,&nbsp;Sigrid Adriaenssens","doi":"10.1007/s00161-024-01350-z","DOIUrl":"10.1007/s00161-024-01350-z","url":null,"abstract":"<div><p>Purely compressed shells are often elegant and highly efficient structural forms, but this leanness may create risk if they are subjected to unexpected patterns and magnitudes of loading, such as may arise due to seismic events. In the same way that historic masonry structures were designed to sustain loads by activating purely compressive force paths, a modern metamaterial can be designed for specific purposes following the same logic. Conventional analysis methods for compression-only shells and vaults, often developed for masonry structures, have tended not to model combined vertical and horizontal loads directly. This has created a significant challenge for engineers assessing historic vaults or designing new shells. To address this gap, this paper presents an enhanced method based on membrane equilibrium analysis (MEA) and the static theorem of limit analysis. This approach is the first application of MEA to directly consider vertical and horizontal body forces acting on a compression-only shell through a parametric formulation of an Airy stress function. The method is applied to a case study of a sail vault subjected to vertical and horizontal loads. Moreover, it is demonstrated how this approach can be used to define iso-resistant shapes that offer more sustainable design options while preserving structural capacity.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01350-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A comprehensive study of simulated cyclic indentation response of linear viscoelastic materials 线性粘弹性材料模拟循环压痕响应的综合研究
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-09 DOI: 10.1007/s00161-024-01352-x
Olga Smerdova
{"title":"A comprehensive study of simulated cyclic indentation response of linear viscoelastic materials","authors":"Olga Smerdova","doi":"10.1007/s00161-024-01352-x","DOIUrl":"10.1007/s00161-024-01352-x","url":null,"abstract":"<div><p>This paper presents and analyzes the cyclic indentation response of a linear viscoelastic material over the entire time range of the relaxation processes using conical or spherical indenters. Finite Element simulations of cyclic indentation on two Generalized Maxwell materials with different relaxation spectra were performed. A variety of cyclic responses to indentation were generated and analyzed using an analytical method based on elastic contact. It is shown that the elastic contact depth and contact stiffness from the loading curves should be used to identify the relaxation modulus corresponding to the time of loading. The stabilization of the loop has also been studied through the energy ratio, a parameter that describes the evolution of the dissipated energy with cycles. A simple time shift between cyclic creep and monotonous indentation creep of a linear viscoelastic material is demonstrated. The simulated indentation curves and the parameters derived from them were found to be qualitatively similar to the experimental cyclic indentation data on HDPE polymer at different loading rates. Assuming that the first loading is affected by plasticity due to the use of a sharp indenter, a correction was suggested to obtain the elastic relaxation modulus from the experiments. The values of the modulus identified in this way for HDPE compared well with the relaxation modulus identified for this material from previous cyclic tensile experiments. The small discrepancy was attributed to the non-linear viscoelasticity or the viscoplasticity of the polymer.\u0000</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939207","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
Dynamic properties of the structures with three level of symmetry 三层对称结构的动力特性
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-09 DOI: 10.1007/s00161-024-01337-w
Sorin Vlase, Andreas Öchsner, Marin Marin
{"title":"Dynamic properties of the structures with three level of symmetry","authors":"Sorin Vlase,&nbsp;Andreas Öchsner,&nbsp;Marin Marin","doi":"10.1007/s00161-024-01337-w","DOIUrl":"10.1007/s00161-024-01337-w","url":null,"abstract":"<div><p>In the field of mechanical engineering, structural systems that can present different types of symmetries are frequently encountered. The choice of such solutions with symmetries is generally the result of considering factors such as reducing design and production costs, logistical considerations, but also for aesthetic reasons. The existence of these symmetries inside some structures brings new properties in the mechanical behavior and can be useful in simplifying the calculation, in the static and dynamic case. Symmetries can bring new properties when the problem of studying vibrations is raised. Thus, the dynamic analysis time can be reduced and the designer can get a quick picture of the behavior of the structure in operation. The paper aims to study a special situation of symmetry that can be encountered in engineering practice, namely the existence of three planes of symmetry within a structure. Such structures can be found frequently in the field of mechanical engineering but also in the construction of buildings. The presented properties can contribute to the reduction of dynamic analysis time and therefore to the reduction of design costs. An example from real life is analyzed in the work, highlighting the listed properties.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 2","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01337-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142939208","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the formulation of evolutive laws and complementarity conditions for non-smooth elastoplastic materials 非光滑弹塑性材料演化规律及互补条件的表述
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2025-01-03 DOI: 10.1007/s00161-024-01341-0
Fabio De Angelis
{"title":"On the formulation of evolutive laws and complementarity conditions for non-smooth elastoplastic materials","authors":"Fabio De Angelis","doi":"10.1007/s00161-024-01341-0","DOIUrl":"10.1007/s00161-024-01341-0","url":null,"abstract":"<div><p>In the present work a formulation of evolutive laws and complementarity conditions in non-smooth elastoplasticity is discussed. The treatment addresses the problem of non-smooth elastoplasticity which is represented by functions characterized by singularities and defined by non-smooth yielding limit conditions and non-differentiable functions. The mathematical theory of subdifferential calculus is properly advocated to provide the suitable mathematical framework in order to treat non-differentiable functions and non-smooth problems. Extended expressions of evolutive laws and complementarity conditions in non-smooth elastoplasticity are illustrated within the adopted generalized mathematical treatment. Relations between the presented mathematical formulations and the expressions in classical elastoplasticity are pointed out and discussed. The proposed treatment has significant advantages since it provides a geometrical framework to the maximum dissipation principle for non-smooth problems in elastoplasticity. Furtherly, the proposed treatment gives insights in the interpretation of the adopted geometrical framework for different types of evolutive laws for new materials and solids such as for instance in some types of new metamaterials with non-smooth constitutive behavior. In addition, the present formulation is also useful in the design of metamaterials, such as pantographic ones, where the plasticity of the pivots is relevant.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2025-01-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142912797","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
Behaviour of solutions for a thermoelastic Cosserat medium with temperature gradients 具有温度梯度的热弹性coserat介质解的行为
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2024-12-29 DOI: 10.1007/s00161-024-01355-8
Marin Marin, Sorin Vlase, Andreas Öchsner, O. M. Hapenciuc
{"title":"Behaviour of solutions for a thermoelastic Cosserat medium with temperature gradients","authors":"Marin Marin,&nbsp;Sorin Vlase,&nbsp;Andreas Öchsner,&nbsp;O. M. Hapenciuc","doi":"10.1007/s00161-024-01355-8","DOIUrl":"10.1007/s00161-024-01355-8","url":null,"abstract":"<div><p>Our study falls within the linear theory of thermoelasticity of Cosserat media. Unlike other works that fall into similar contexts and that use the entropy balance low, our approach is based on an entropy production inequality. The entropy flux tensor is introduced and thermoelastic media are considered for which the stress tensors are dependent on the temperature gradients. In this way, a fourth-order differential equation satisfied by temperature is obtained. In this context the mixed initial-boundary value problem is formulated for which an uniqueness result regarding the solution of this problem is proven. Also, a continuous dependence result is deduced for the solution of the mixed formulated problem with regard to the charges and the initial values.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00161-024-01355-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142888051","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic response of an infinite body with a cylindrical tunnel cavity under fractional-order thermoviscoelastic diffusion theory with various shock loads 基于分数阶热粘弹性扩散理论的圆柱形隧道腔体在不同冲击载荷下的动力响应
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2024-12-27 DOI: 10.1007/s00161-024-01354-9
Ying Guo, Yuchuan Bai, Liqiang Sun, Pengjie Shi, Chunbao Xiong, Kuahai Yu
{"title":"Dynamic response of an infinite body with a cylindrical tunnel cavity under fractional-order thermoviscoelastic diffusion theory with various shock loads","authors":"Ying Guo,&nbsp;Yuchuan Bai,&nbsp;Liqiang Sun,&nbsp;Pengjie Shi,&nbsp;Chunbao Xiong,&nbsp;Kuahai Yu","doi":"10.1007/s00161-024-01354-9","DOIUrl":"10.1007/s00161-024-01354-9","url":null,"abstract":"<div><p>Underground tunnels serve as vital infrastructure for road and rail transportation, oil and gas pipelines, power grids, and military applications; they are inherently subject to harsh environments characterized by extreme temperatures, chemical erosion, and sudden impacts. To address these challenges, the sophisticated coupled thermoelastic diffusion dynamic model has been developed based on Biot’s wave equation, Fick’s law, viscoelastic theory, and Ezzat’s fractional-order thermoelastic theory. The research presented here delves into the intricate thermoviscoelastic diffusion dynamic response of the system, exploring how it reacts when simultaneously confronted with a thermal source, normal load, and chemical shock directly applied to the surface of the cylindrical tunnel cavity. The Laplace transform and the Crump numerical inversion method have been used to obtain the non-dimensional displacement, temperature, chemical potential, concentration, radial stress, hoop stress, and axial stress. A meticulous analysis reveals the intricate interplay between the fractional coefficient, temporal evolution, and diverse shock load types on these variables. The fractional-order coefficients have a certain effect on the analysis of all physical variables except the non-dimensional chemical potential. The action time has a significant effect on all non-dimensional physical variables. The two different viscoelastic relaxation time factors have no significant effect on non-dimensional temperature and chemical potential, however, have obvious effects on non-dimensional concentration, radial stress, hoop stress, and axial stress.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142888052","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
Determining material parameters by ball indentation of a circular perforated hyperelastic membrane 用圆孔超弹性膜的球压痕法测定材料参数
IF 1.9 4区 工程技术
Continuum Mechanics and Thermodynamics Pub Date : 2024-12-26 DOI: 10.1007/s00161-024-01353-w
Alexey M. Kolesnikov
{"title":"Determining material parameters by ball indentation of a circular perforated hyperelastic membrane","authors":"Alexey M. Kolesnikov","doi":"10.1007/s00161-024-01353-w","DOIUrl":"10.1007/s00161-024-01353-w","url":null,"abstract":"<div><p>This paper proposes a method for determining the mechanical properties of thin films of highly elastic materials. The method is based on an experiment of indenting a circular specimen with a hole in the center by a ball indenter. The value of the maximum indenting force is used as experimental data. This method determines the neo-Hookean model parameter for incompressible materials, factoring in indenter-specimen friction across various hole and indenter sizes.</p></div>","PeriodicalId":525,"journal":{"name":"Continuum Mechanics and Thermodynamics","volume":"37 1","pages":""},"PeriodicalIF":1.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142886808","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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