DOI: 10.1016/0167-2789(94)90234-8. Dynamic solid-solid transitions with phase characterized by an order parameter

Dynamic solid-solid transitions with phase characterized by an order parameter

10.1016/0167-2789(94)90234-8

Crossref journal-article

Elsevier BV

Physica D: Nonlinear Phenomena (78)

Bibliography

Fried, E., & Gurtin, M. E. (1994). Dynamic solid-solid transitions with phase characterized by an order parameter. Physica D: Nonlinear Phenomena, 72(4), 287â308.

Authors 2

E. Fried (first)
M.E. Gurtin (additional)

References 33 Referenced 183

10.1016/0167-2789(93)90128-N / Physica D / Continuum theory of thermally induced phase transitions based on an order parameter by Fried (1993)
E. Fried, M.E. Gurtin and D.A. Polignone, forthcoming.
10.1016/0001-6160(80)90030-9 / Acta Metall. Mater. / Model free energy, mechanics, and thermodynamics of shape memory alloys by Falk (1980)
10.1007/BF01388067 / Z. Physik B / Ginzburg-Landau theory and solitary waves in shape-memory alloys by Falk (1984)
10.1007/BF02729036 / Nuovo Cimento B / A model for phase transitions in pseudoelastic bodies by Müller (1980)
10.1007/BF00532524 / Ing. Archiv / Creep and yield in martensitic transformations by Achenbach (1983)
10.1103/PhysRevLett.53.1069 / Phys. Rev. Lett. / Twin boundaries in ferroelastic media without interface dislocations by Barsch (1984)
10.1007/BF02628355 / Metall. Trans. A / Nonlinear and nonlocal continuum model of transformation precursors in martensites by Barsch (1988)
10.1090/qam/1040232 / Q. Appl. Math. / Thermo-mechanical evolution of shape-memory alloys by Colli (1990)
10.1016/0362-546X(90)90079-V / Nonlinear Anal. / Existence and uniqueness of global solutions to an extended model of the dynamical developments in shape memory alloys by Hoffmann (1990)
E. Fried and M.E. Gurtin, Semi-quadratic variational problems for multiphase equilibria, Q. Appl. Math., forthcoming. (10.1090/qam/1373839)
E. Fried, Continua described by a configurational field: internal state variables, order parameters, directors, forthcoming.
10.1103/PhysRevB.41.9239 / Phys. Rev. B / Theory of ordering dynamics for Cu3Au by Lai (1990)
{'key': '10.1016/0167-2789(94)90234-8_BIB14', 'first-page': '5', 'article-title': 'Influence of stresses on the equilibrium domain structure and phase transition temperature in ordering alloys and ferroelastics', 'volume': '32', 'author': 'Libman', 'year': '1987', 'journal-title': 'Sov. Phys. Crystallogr.'} / Sov. Phys. Crystallogr. / Influence of stresses on the equilibrium domain structure and phase transition temperature in ordering alloys and ferroelastics by Libman (1987)
10.1007/BF00281354 / Arch. Rational Mech. Anal. / Multiphase thermomechanics with interfacial structure 1. Heat conduction and the capillary balance law by Gurtin (1988)
10.1007/BF00393269 / Arch. Rational Mech. Anal. / A mechanical theory for crystallization of a rigid solid in a liquid melt; melting-freezing waves by Gurtin (1990)
10.1007/BF00375583 / Arch. Rational Mech. Anal. / The dynamics of solid-solid phase transitions-1. Coherent transitions by Gurtin (1993)
10.1007/BF00375667 / Arch. Rational Mech. Anal. / Multiphase thermomechanics with interfacial structure 3. Evolving phase boundaries in the presence of bulk deformation by Gurtin (1990)
10.1016/0022-5096(90)90003-M / J. Mech. Phys. Solids / On the driving traction acting on a surface of strain discontinuity in a continuum by Abeyaratne (1990)
{'key': '10.1016/0167-2789(94)90234-8_BIB20', 'series-title': 'Shock Induced Transitions and Phase Structures in General Media', 'article-title': 'Kinks versus shocks', 'author': 'Truskinovsky', 'year': '1992'} / Shock Induced Transitions and Phase Structures in General Media / Kinks versus shocks by Truskinovsky (1992)
E. Fried and G. Grach, Transition zone analogues for energy and stress on sharp phase interfaces, forthcoming.
10.1016/0001-6160(74)90134-5 / Acta Metall. Mater. / A vector thermodynamics for anisotropic surfaces-2. curved and faceted surfaces by Cahn (1974)
{'key': '10.1016/0167-2789(94)90234-8_BIB23', 'series-title': 'Inelastic Behavior of Solids', 'article-title': 'Energy relations and the energy-momentum tensor in continuum mechanics', 'author': 'Eshelby', 'year': '1970'} / Inelastic Behavior of Solids / Energy relations and the energy-momentum tensor in continuum mechanics by Eshelby (1970)
10.1007/BF00380413 / Arch. Rational Mech. Anal. / Liquid crystals with variable degree of orientation by Ericksen (1991)
{'key': '10.1016/0167-2789(94)90234-8_BIB25', 'first-page': '84', 'article-title': 'Construction of a physically linear theory of coherent phase transformations', 'volume': '21', 'author': 'Grinfeld', 'year': '1986', 'journal-title': 'Mech. Solids'} / Mech. Solids / Construction of a physically linear theory of coherent phase transformations by Grinfeld (1986)
{'key': '10.1016/0167-2789(94)90234-8_BIB26', 'series-title': 'The Non-Linear Field Theories of Mechanics', 'author': 'Truesdell', 'year': '1992'} / The Non-Linear Field Theories of Mechanics by Truesdell (1992)
{'key': '10.1016/0167-2789(94)90234-8_BIB27', 'series-title': 'An Introduction to Continuum Mechanics', 'author': 'Gurtin', 'year': '1981'} / An Introduction to Continuum Mechanics by Gurtin (1981)
10.1007/BF00281246 / Arch. Rational Mech. Anal. / Fine phase mixtures as minimizers of energy by Ball (1987)
10.1007/BF00251759 / Arch. Rational Mech. Anal. / Equilibrium configurations of crystals by Chipot (1988)
10.1137/0151061 / SIAM J. Appl. Math. / Implications of viscosity and strain gradient effects in the kinetics of propagating phase boundaries in solids by Abeyaratne (1991)
10.1090/qam/1146630 / Q. Appl. Math. / On the propagation of maximally dissipative phase boundaries in solids by Abeyaratne (1992)
10.1137/0148029 / SIAM J. Appl. Math. / Dynamics of layered interfaces arising from phase boundaries by Caginalp (1988)
10.2307/2154167 / Trans. AMS / Motion of level sets by mean curvature II by Evans (1992)

Dates

Type	When
Created	22 years, 10 months ago (Oct. 17, 2002, 3:58 p.m.)
Deposited	6 years, 4 months ago (April 6, 2019, 4:25 p.m.)
Indexed	3 weeks, 2 days ago (Aug. 7, 2025, 4:52 a.m.)
Issued	31 years, 3 months ago (May 1, 1994)
Published	31 years, 3 months ago (May 1, 1994)
Published Print	31 years, 3 months ago (May 1, 1994)

Funders 0

None

BibTeX

@article{Fried_1994, title={Dynamic solid-solid transitions with phase characterized by an order parameter}, volume={72}, ISSN={0167-2789}, url={http://dx.doi.org/10.1016/0167-2789(94)90234-8}, DOI={10.1016/0167-2789(94)90234-8}, number={4}, journal={Physica D: Nonlinear Phenomena}, publisher={Elsevier BV}, author={Fried, E. and Gurtin, M.E.}, year={1994}, month=may, pages={287–308} }

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