Generalizations of Maysel’s Formula to Micropolar Thermoviscoelasticity with non-small Temperature Changes

Abstract

Generalizations of Maysel’s formula to micropolar thermoviscoelasticity are given. The coupled term in generalized thermoelasticity formulation is modified with non-small temperature changes, where the absolute temperature is not replaced by the temperature of the body in its undeformed state, and is expressed as a linear function of time. The term including ((d/ds)¯ ui,i) in the Laplace transform domain is treated with an approximate method. The new reciprocity theorem and fundamental solutions of the linear micropolar thermoviscoelasticity with non-small temperature changes in the Laplace transform domain are also derived. To illustrate Maysel’s method, a mixed boundary value problem is considered as an example.