Title
Coexistent phases in nonlinear thermoelasticity: radially symmetric equilibrium states of aeolotropic bodies
Department/School
Mathematics
Date
1-1-1995
Document Type
Article
Keywords
differential equation, equilibrium state, ordinary differential equation, general classis, elastic materials
DOI
https://doi.org/10.1007/BF00042510
Abstract
We determine the detailed qualitative behavior of radially symmetric equilibrium states having coexistent phases for general classes of aeotropic nonlinearly thermoelastic materials. We treat both structured and non-structured interfaces. The aeolotropy is responsible for many novel effects. We show that linearly elastic materials cannot sustain coexistent radially symmetric phases unless the interfaces are structured. Our analysis is largely elementary, being based on a combination of geometric constructions with phase-plane methods. A few results, however, depend on our development of appropriate versions of the theory of asymptotically autonomous ordinary differential equations.
Published in
Journal of Elasticity
Citation/Other Information
Shvartsman, M. M. & Antman, S. S. (1995). Coexistent phases in nonlinear thermoelasticity: Radially symmetric equilibrium states of aeolotropic bodies. Journal of Elasticity 41, 107–136. https://doi.org/10.1007/BF00042510