The Unified Theory of Elastic-Viscosic-Plastic Theory of Solids
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摘要: 提出了一个弹、粘、塑性统一理论,可用以计算在任意受力过程下物体各点弹、粘、塑性的变化情况.理论的基础是热力学定律及虚弹性假设.文中导出本构关系以及有关的变分原理,由此容易推导空间-时间的有限元构式.值得指出,适当选取文中的物质常数,可以得出类似于当前习用的塑性本构关系.
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关键词:
- 热力学第一、第二定律 /
- 虚弹性假设
Abstract: In this paper, unified elastic-viscosic-plastic theory which can compute the change of elastic, viscosic and plastic situation of each point in the body is suggested. The theory is based on the laws of thermodynamics and the pseudo elastic postulate. In the paper, the constitutive equations and variational principles are deduced. From which the finite element method of both space and time may be esily formulated. Note that, by choosing the material parameters properly, the plastic constitutive equations currently used may be given. -
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