A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies

A Review of Implicit Constitutive Theories to Describe the Response of Elastic Bodies
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描述弹性体响应的隐式本构理论综述

DOI:
10.1007/978-3-030-31547-4_7
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发表时间:
2019
期刊:
Constitutive Modelling of Solid Continua
影响因子:
--
通讯作者:
K. Rajagopal
K. Rajagopal
中科院分区:
--
文献类型:
--
作者:
R. Bustamante;K. Rajagopal

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隐式本构关系的弹性,电和磁弹性和热弹性体进行了讨论。电弹性体的隐式本构方程的近似开发时,位移梯度是小的,而在热弹性体的本构方程的情况下,近似开发时的位移梯度和热通量都很小。边界值问题的研究限制注意到一些特定形式的隐式本构关系。
Implicit constitutive relations are discussed for elastic, electro- and magneto-elastic and thermo-elastic bodies. Approximations of implicit constitutive equations for electro-elastic bodies are developed when the displacement gradient is small, while in the case of the constitutive equations for thermo-elastic bodies approximations are developed when both the displacement gradient and the heat flux are small. Boundary-value problems are studied confining attention to some specific forms of implicit constitutive relations.