On a Thermodynamic Constitutive Theory and Its Application to Various Nonlinear Materials
On a Thermodynamic Constitutive Theory and Its Application to Various Nonlinear Materials
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热力学本构理论及其在各种非线性材料中的应用
DOI：
10.1007/978-3-7091-8244-4_16
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发表时间：
1970
期刊：
影响因子：
--
通讯作者：
Richard Schapery
中科院分区：
文献类型：
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作者：
Richard Schapery
作者的非线性粘弹性行为的热力学本构理论扩展到率无关的塑性流动和非线性蠕变与强应力相关。然后表明，所得到的应力-应变方程与几种不同材料在小应变和大应变下报告的力学行为是一致的;虽然这里主要关注的是金属和聚合物固体，但初步迹象表明，各种其他材料，如土壤和生物组织，可以使用相同的基本方程来表征。在该理论中，历史效应，单轴或多轴加载，是考虑通过单一的积分，这是非常类似的Boltzmann型的线性粘弹性理论。
The author's thermodynamic constitutive theory for nonlinear viscoelastic behavior is extended to account for rate-independent plastic flow and for nonlinear creep with strong stress-dependence. It is then shown that the resulting stress-strain equations are consistent with mechanical behavior reported for several different materials under small and large strains; although principal concern here is with metals and polymeric solids, preliminary indications are that a variety of other materials, such as soils and biological tissue, can be characterized using the same basic equations. In this theory, history effects, with uniaxial or multiaxialloading, are taken into account by means of single integrals which are very similar to the Boltzmann type in linear viscoelastic theory.