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

Call Number	530.4/74
Author	Abeyaratne, Rohan, author.
Title	Evolution of phase transitions : a continuum theory / Rohan Abeyaratne, James K. Knowles.
Physical Description	1 online resource (xv, 242 pages) : digital, PDF file(s).
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	Introduction -- Two-well potentials, governing equations and energetics -- Equilibrium phase mixtures and quasistatic processes -- Impact-induced transitions in two-phase elastic materials -- Multiple-well free energy potentials -- The continuum theory of driving force -- Thermoelastic materials -- Kinetics and nucleation -- Models for two-phase thermoelastic materials in one dimension -- Quasistatic hysteresis in two-phase thermoelastic tensile bars -- Dynamics of phase transitions in uniaxially strained thermoelastic solids -- Statics : geometric compatibility -- Dynamics : impact-induced transition in a CuAINi single crystal -- Quasistatics : kinetics of martensitic twinning.
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.
Added Author	Knowles, James K. 1931- author.
Subject	PHASE TRANSFORMATIONS (STATISTICAL PHYSICS) CONTINUUM MECHANICS. Kinetic Theory of matter.
Multimedia	https://doi.org/10.1017/CBO9780511547133

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$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.

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$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.

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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.
Notes	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Contents	Introduction -- Two-well potentials, governing equations and energetics -- Equilibrium phase mixtures and quasistatic processes -- Impact-induced transitions in two-phase elastic materials -- Multiple-well free energy potentials -- The continuum theory of driving force -- Thermoelastic materials -- Kinetics and nucleation -- Models for two-phase thermoelastic materials in one dimension -- Quasistatic hysteresis in two-phase thermoelastic tensile bars -- Dynamics of phase transitions in uniaxially strained thermoelastic solids -- Statics : geometric compatibility -- Dynamics : impact-induced transition in a CuAINi single crystal -- Quasistatics : kinetics of martensitic twinning.
Subject	PHASE TRANSFORMATIONS (STATISTICAL PHYSICS) CONTINUUM MECHANICS. Kinetic Theory of matter.
Multimedia	https://doi.org/10.1017/CBO9780511547133