A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS-Reference-Cited by-同舟云学术

A RATE-INDEPENDENT MODEL FOR THE ISOTHERMAL QUASI-STATIC EVOLUTION OF SHAPE-MEMORY MATERIALS

Published:2008-01 Issue:01 Volume:18 Page:125-164
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

AURICCHIO FERDINANDO¹,MIELKE ALEXANDER²³,STEFANELLI ULISSE⁴

Affiliation:

1. Dipartimento di Meccanica Strutturale, Università di Pavia and Istituto di Matematica, Applicata e Tecnologie Informatiche — CNR, via Ferrata 1, I-27100 Pavia, Italy

2. Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany

3. Institut für Mathematik, Humboldt-Universität zu Berlin, Rudower Chaussee 25, 12489 Berlin, Germany

4. Istituto di Matematica Applicata e Tecnologie Informatiche — CNR, via Ferrata 1, 27100 Pavia, Italy

Abstract

This paper addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasi-static evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202508002632

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