02950nam a22003498i 4500001001600000003000700016008004100023020001800064020001800082020001800100035002000118041000800138082001700146100003100163245010600194264007100300300003800371336002600409337002600435338003600461500001300497505076600510520099201276650004802268650002502316650003002341700003102371856005502402932003202457596000602489949010502495CR9780511547133UkCbUP090508s2006||||enk o ||1 0|eng|d a9780511547133 a9780521661478 a9780521380515 a(Sirsi) a798571 aeng00a530.4/742221 aAbeyaratne, Rohan,eauthor10aEvolution of phase transitions :ba continuum theoryh[E-Book] /cRohan Abeyaratne, James K. Knowles. 1aCambridge :bCambridge University Press,c2006e(CUP)fCUP20200108 a1 online resource (xv, 242 pages) atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier aenglisch00g1.tIntroduction --g2.tTwo-well potentials, governing equations and energetics --g3.tEquilibrium phase mixtures and quasistatic processes --g4.tImpact-induced transitions in two-phase elastic materials --g5.tMultiple-well free energy potentials --g6.tThe continuum theory of driving force --g7.tThermoelastic materials --g8.tKinetics and nucleation --g9.tModels for two-phase thermoelastic materials in one dimension --g10.tQuasistatic hysteresis in two-phase thermoelastic tensile bars --g11.tDynamics of phase transitions in uniaxially strained thermoelastic solids --g12.tStatics : geometric compatibility --g13.tDynamics : impact-induced transition in a CuAINi single crystal --g14.tQuasistatics : kinetics of martensitic twinning. aThis 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. 0aPhase transformations (Statistical physics) 0aContinuum mechanics. 0aKinetic theory of matter.1 aKnowles, James K.,eauthor40uhttps://doi.org/10.1017/CBO9780511547133zVolltext aCambridgeCore (Order 30059) a1 aXX(798571.1)wAUTOc1i798571-1001lELECTRONICmZBrNsYtE-BOOKu8/1/2020xUNKNOWNzUNKNOWN1ONLINE