Equations of the Theory of Thermal Stresses in Double-Modulus Materials
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.
KeywordsThermal Stress Principal Stress Plane Strain Classical Theory Plane Problem
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