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Evolution of phase transitions : = a continuum theory /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Evolution of phase transitions :/ Rohan Abeyaratne, James K. Knowles.
其他題名:	a continuum theory /
作者:	Abeyaratne, Rohan,
其他作者:	Knowles, James K.
面頁冊數:	1 online resource (xv, 242 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Kinetic theory of matter. -
電子資源:	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:

672739
Kinetic theory of matter.

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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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 Kinetic theory of matter. $3 672739
650 0 $a Continuum mechanics. $3 527691
650 0 $a Phase transformations (Statistical physics) $3 596895
700 1 $a Knowles, James K. $q (James Kenyon), $d 1931- $e author. $3 1442141
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856 4 0 $u https://doi.org/10.1017/CBO9780511547133