熱境界層をもつ融解する熱弾性体の変分原理

Abstract

A method is presented for the analysis of an ablation of elastic solid with thermal layer. The method is in part an application of Biot\u27s variational theory of thermoelasticity. An extension of heat balance integral introduced by Goodman for thermoelasticity is tried. Both mathematical method together with a quadratic approximation of temperature, provide a system of differential equations of the position of melting line s(t), and the thickness of thermal layer q(t). The solution of heat conduction equation provides the initial condition of q(t). With the aid of Adams-Bashforth\u27s method, one can reach the series solution of s(t) and q(t)