Evolution of phase transitions : a continuum theory / Rohan Abeyaratne, James K. Knowles.

Format:

Book

Author/Creator:

Abeyaratne, Rohan, author.

Knowles, James K. (James Kenyon), 1931- author.

Language:

English

Subjects (All):

Phase transformations (Statistical physics).

Continuum mechanics.

Kinetic theory of matter.

Physical Description:

1 online resource (xv, 242 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2006.

Language Note:

English

Summary:

This 2006 work began with the author's exploration of the applicability of the finite deformation theory of elasticity when various standard assumptions such as convexity of various energies or ellipticity of the field equations of equilibrium are relinquished. The finite deformation theory of elasticity turns out to be a natural vehicle for the study of phase transitions in solids where thermal effects can be neglected. This text will be of interest to 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 which in the framework of classical thermomechanics represents information that is supplementary to the usual balance principles and constitutive laws of conventional theory.

Contents:

1. Introduction

2. Two-well potentials, governing equations and energetics

3. Equilibrium phase mixtures and quasistatic processes

4. Impact-induced transitions in two-phase elastic materials

5. Multiple-well free energy potentials

6. The continuum theory of driving force

7. Thermoelastic materials

8. Kinetics and nucleation

9. Models for two-phase thermoelastic materials in one dimension

10. Quasistatic hysteresis in two-phase thermoelastic tensile bars

11. Dynamics of phase transitions in uniaxially strained thermoelastic solids

12. Statics : geometric compatibility

13. Dynamics : impact-induced transition in a CuAINi single crystal

14. Quasistatics : kinetics of martensitic twinning.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references and indexes.

ISBN:

1-107-14264-4

1-280-43689-1

9786610436897

0-511-16849-7

0-511-16892-6

0-511-16743-1

0-511-31233-4

0-511-54713-7

0-511-16798-9

OCLC:

171138322