Evolution of phase transitions: a continuum theory
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Cambridge University Press
2006
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| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xv, 242 pages) |
| ISBN: | 9780511547133 |
| DOI: | 10.1017/CBO9780511547133 |
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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 | 8 | 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 |
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Datensatz im Suchindex
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| author | Abeyaratne, Rohan |
| author_facet | Abeyaratne, Rohan |
| author_role | aut |
| author_sort | Abeyaratne, Rohan |
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| 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 |
| ctrlnum | (ZDB-20-CBO)CR9780511547133 (OCoLC)699126289 (DE-599)BVBBV043945281 |
| dewey-full | 530.4/74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/74 |
| dewey-search | 530.4/74 |
| dewey-sort | 3530.4 274 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| doi_str_mv | 10.1017/CBO9780511547133 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T07:39:23Z |
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| isbn | 9780511547133 |
| language | English |
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| spelling | Abeyaratne, Rohan Verfasser aut Evolution of phase transitions a continuum theory Rohan Abeyaratne, James K. Knowles Cambridge Cambridge University Press 2006 1 online resource (xv, 242 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 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 Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Festkörper (DE-588)4016918-2 gnd rswk-swf Festkörper (DE-588)4016918-2 s Phasenumwandlung (DE-588)4132140-6 s 1\p DE-604 Knowles, James K. 1931- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-38051-5 Erscheint auch als Druckausgabe 978-0-521-66147-8 https://doi.org/10.1017/CBO9780511547133 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Abeyaratne, Rohan Evolution of phase transitions a continuum theory 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 Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd Festkörper (DE-588)4016918-2 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4016918-2 |
| title | Evolution of phase transitions a continuum theory |
| title_alt | 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 |
| title_auth | Evolution of phase transitions a continuum theory |
| title_exact_search | Evolution of phase transitions a continuum theory |
| title_full | Evolution of phase transitions a continuum theory Rohan Abeyaratne, James K. Knowles |
| title_fullStr | Evolution of phase transitions a continuum theory Rohan Abeyaratne, James K. Knowles |
| title_full_unstemmed | Evolution of phase transitions a continuum theory Rohan Abeyaratne, James K. Knowles |
| title_short | Evolution of phase transitions |
| title_sort | evolution of phase transitions a continuum theory |
| title_sub | a continuum theory |
| topic | Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung (DE-588)4132140-6 gnd Festkörper (DE-588)4016918-2 gnd |
| topic_facet | Phase transformations (Statistical physics) Continuum mechanics Kinetic theory of matter Phasenumwandlung Festkörper |
| url | https://doi.org/10.1017/CBO9780511547133 |
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