Equations of the Theory of Thermal Stresses in Double-Modulus Materials
Equations of the Theory of Thermal Stresses in Double-Modulus Materials
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DOI：
10.1007/978-3-7091-8244-4_2
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发表时间：
1970
期刊：
影响因子：
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通讯作者：
S. A. Ambartsumian
中科院分区：
文献类型：
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作者：
S. A. Ambartsumian
本文研究了拉伸（E+）和压缩（E-）弹性模量不同的“弹性”材料的热非弹性理论的发展。所提出的理论是基于双模量材料弹性的数学理论和熟悉的Neuman假设。从公认的原则出发，双金属热非弹性的一般理论本文提出了一种新的非线性弹性模量材料的非线性方程组，并给出了一些问题的解。所导出的非线性方程组和公式的一个重要特点是所有非线性项的表示依赖于本文从弹性力学的异模量理论[1，2]的一般原理和热弹性力学的数学理论[3，4]的基本假设出发，在热效应领域中，对异模量材料的一般应力-应变理论，即热弹性力学的数学理论[3，4]进行了讨论。开发了
The study deals with the development of the theory of thermo-inelasticity for the “elastic” material whose elastic moduli are different in tension (E+) and in compression (E−).The proposed theory is based upon the mathematical theory of elasticity of double-modulus materials and upon the familiar Neuman’s hypothesis.Proceeding from accepted principles, the general theory of thermo-inelasticity for the double-modulus material is developed and the solutions of some problems are presented.A vital characteristic of the nonlinear equations and formulae derived is the fact that all the nonlinear terms representations depend upon the parameter (E+−E−)/(E++E−), which is assumed small.It is shown that neglect of heteroresistance may introduce significant errors.Proceeding from the general principles of the heteromodulus theory of elasticity [1, 2] and from the fundamental hypotheses of the mathematical theory of thermo-elasticity [3, 4], a general stress-strain theory of heteromodulus materials, in a field of thermal effects, has been developed.