Mathematical Model of Ablative Composites

Abstract

The present chapter describes an averaging method for internal thermal and mechanical processes in ablative composites. The method is based on the assumption of a regularity in the internal structure of the ablative composite, and the concept of asymptotic expansion for partial differential equations with rapidly oscillating coefficients. This theory was formulated by N.S.Bakhvalov [8] and developed by B.E.Pobedria [91, 92], D.Lions [73] and others for composites without, phase transformations, and by E.Sanchez-Palencia [104] for porous media without phase transformations. For heterogeneous media with phase transformations the averaging method has been developed in works [39, 41].