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Evolution of phase transitions : = a continuum theory /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Evolution of phase transitions :/ Rohan Abeyaratne, James K. Knowles.
Reminder of title:	a continuum theory /
Author:	Abeyaratne, Rohan,
other author:	Knowles, James K.
Description:	1 online resource (xv, 242 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Phase transformations (Statistical physics) -
Online resource:	https://doi.org/10.1017/CBO9780511547133
ISBN:	9780511547133 (ebook)

Evolution of phase transitions : = a continuum theory /
Abeyaratne, Rohan,

Evolution of phase transitions :a continuum theory /Rohan Abeyaratne, James K. Knowles. - 1 online resource (xv, 242 pages) :digital, PDF file(s).

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

Introduction --1.

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.

ISBN: 9780511547133 (ebook)Subjects--Topical Terms:

596895
Phase transformations (Statistical physics)

LC Class. No.: QC175.16.P5 / A24 2006

Dewey Class. No.: 530.4/74

Evolution of phase transitions : = a continuum theory /
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245 1 0 $a Evolution of phase transitions : $b a continuum theory / $c Rohan Abeyaratne, James K. Knowles.
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505 0 0 $g 1. $t Introduction -- $g 2. $t Two-well potentials, governing equations and energetics -- $g 3. $t Equilibrium phase mixtures and quasistatic processes -- $g 4. $t Impact-induced transitions in two-phase elastic materials -- $g 5. $t Multiple-well free energy potentials -- $g 6. $t The continuum theory of driving force -- $g 7. $t Thermoelastic materials -- $g 8. $t Kinetics and nucleation -- $g 9. $t Models for two-phase thermoelastic materials in one dimension -- $g 10. $t Quasistatic hysteresis in two-phase thermoelastic tensile bars -- $g 11. $t Dynamics of phase transitions in uniaxially strained thermoelastic solids -- $g 12. $t Statics : geometric compatibility -- $g 13. $t Dynamics : impact-induced transition in a CuAINi single crystal -- $g 14. $t Quasistatics : kinetics of martensitic twinning.
520 $a 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.
650 0 $a Phase transformations (Statistical physics) $3 596895
650 0 $a Continuum mechanics. $3 527691
650 0 $a Kinetic theory of matter. $3 672739
700 1 $a Knowles, James K. $q (James Kenyon), $d 1931- $e author. $3 1442141
776 0 8 $i Print version: $z 9780521661478
856 4 0 $u https://doi.org/10.1017/CBO9780511547133