In this work, we analytically investigate a multi-component system for describing phase separation and damage processes in solids. The model consists of a parabolic diffusion equation of fourth order for the concentration coupled with an elliptic system with material dependent coefficients for the strain tensor and a doubly nonlinear differential inclusion for the damage function. The main aim of this paper is to show existence of weak solutions for the introduced model, where, in contrast to existing damage models in the literature, different elastic properties of damaged and undamaged material are regarded. To prove existence of weak solutions for the introduced model, we start with an approximation system. Then, by passing to the limit, existence results of weak solutions for the proposed model are obtained via suitable variational techniques.
|Titolo:||Modeling and analysis of a phase field system for damage and phase separation processes in solids|
BONETTI, ELENA (Secondo)
|Parole Chiave:||Cahn-Hilliard system; Complete damage; Doubly nonlinear differential inclusions; Elliptic-parabolic systems; Existence results; Phase separation; Analysis|
|Settore Scientifico Disciplinare:||Settore MAT/05 - Analisi Matematica|
|Data di pubblicazione:||giu-2015|
|Digital Object Identifier (DOI):||10.1016/j.jde.2015.01.024|
|Appare nelle tipologie:||01 - Articolo su periodico|