An Order-Parameter-Based Theory as a Regularization of a Sharp-Interface Theory for Solid-Solid Phase Transitions

[1]  Morton E. Gurtin,et al.  Dynamic solid-solid transitions with phase characterized by an order parameter , 1994 .

[2]  J. Ericksen.  Conservation Laws for Liquid Crystals , 1961 .

[3]  E. Müller,et al.  The Use of Classical Macroscopic Concepts in Surface Energy Problems , 1953 .

[4]  Morton E. Gurtin,et al.  The dynamics of solid-solid phase transitions. , 1992 .

[5]  E. Fried,et al.  The influence of inertia on configurational forces in a deformable solid , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[6]  J. Cahn,et al.  A linear theory of thermochemical equilibrium of solids under stress , 1973 .

[7]  Morton E. Gurtin.  The characterization of configurational forces , 1994 .

[8]  Morton E. Gurtin,et al.  Multiphase thermomechanics with interfacial structure , 1990 .

[9]  C. Oseen,et al.  The theory of liquid crystals , 1933 .

[10]  Morton E. Gurtin,et al.  A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy , 1996 .

[11]  Gianfranco Capriz,et al.  Continua with Microstructure , 1989 .

[12]  D. W. Hoffman,et al.  A Vector Thermodynamics for Anisotropic Surfaces—II. Curved and Faceted Surfaces , 1974 .

[13]  John W. Cahn,et al.  Surface stress and the chemical equilibrium of small crystals—II. Solid particles embedded in a solid matrix , 1982 .

[14]  Stephen C. Cowin,et al.  A continuum theory for granular materials , 1972 .

[15]  John W. Cahn,et al.  Crystal shapes and phase equilibria: A common mathematical basis , 1996 .

[16]  L. Truskinovskii,et al.  Dynamics of non-equilibrium phase boundaries in a heat conducting non-linearly elastic medium☆ , 1987 .

[17]  John W. Cahn,et al.  Thermochemical equilibrium of multiphase solids under stress , 1978 .

[18]  W. Heidug,et al.  Thermodynamics of coherent phase transformations in nonhydrostatically stressed solids , 1985 .

[19]  F. M. Leslie.  Some constitutive equations for liquid crystals , 1968 .

[20]  Morton E. Gurtin,et al.  The nature of configurational forces , 1995 .

[21]  James K. Knowles,et al.  On the driving traction acting on a surface of strain discontinuity in a continuum , 1990 .