Evolution of Phase Transitions: A Continuum Theory

Evolution of Phase Transitions: A Continuum Theory

by Rohan Abeyaratne, James K. Knowles
     
 

ISBN-10: 0521380510

ISBN-13: 9780521380515

Pub. Date: 07/21/2011

Publisher: Cambridge University Press

This is a valuable work for those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions, which may be either dynamic or quasi-static, controlled by a…  See more details below

Overview

This is a valuable work for those interested in the development and application of continuum-mechanical models that describe the macroscopic response of materials capable of undergoing stress- or temperature-induced transitions between two solid phases. The focus is on the evolution of phase transitions, which may be either dynamic or quasi-static, controlled by a kinetic relation that in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory. The book should be of interest to mechanicians, material scientists, geophysicists, and applied mathematicians.

Product Details

ISBN-13:
9780521380515
Publisher:
Cambridge University Press
Publication date:
07/21/2011
Edition description:
Reissue
Pages:
260
Product dimensions:
7.00(w) x 9.90(h) x 0.70(d)

Table of Contents

1Introduction3
2Two-well potentials, governing equations and energetics19
3Equilibrium phase mixtures and quasistatic processes32
4Impact-induced transitions in two-phase elastic materials59
5Multiple-well free energy potentials85
6The continuum theory of driving force105
7Thermoelastic materials113
8Kinetics and nucleation124
9Models for two-phase thermoelastic materials in one dimension149
10Quasistatic hysteresis in two-phase thermoelastic tensile bars163
11Dynamics of phase transitions in uniaxially strained thermoelastic solids181
12Statics : geometric compatibility197
13Dynamics : impact-induced transition in a CuAINi single crystal209
14Quasistatics : kinetics of martensitic twinning221

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