References
- Abeyaratne , R , Chu , C and James , R . 1996 . Phil. Mag. A , 73 ( 2 ) : 457
- Wayman , C . 1964 . Introduction to the Crystallography of Martensitic Transformation , New York : MacMillan .
- James , R . 1981 . Arch. Ration. Mech. Anal. , 77 : 143
- Bhattacharya , K . 2003 . Microstructure of Martensite , Oxford : Oxford University Press .
- Abeyaratne , R and Knowles , J . 2006 . Evolution of Phase Transitions: A Continuum Theory , Cambridge : Cambridge University Press .
- Duerig , P , Melton , K , Stockel , D and Wayman , C . 1990 . Engineering Aspects of Shape Memory Alloys , Boston, MA : Butterworth-Heinemann .
- Bertram , A . 1982 . Nucl. Eng. Des. , 74 : 173
- Boyd , J and Lagoudas , D . 1996 . Inter. J. Plast. , 12 ( 6 ) : 805
- Qidwai , M and Lagoudas , D . 2000 . Inter. J. Numer. Meth. Eng. , 47 : 1123
- Auricchio , F , Taylor , R and Lubliner , J . 1997 . Comput. Meth. Appl. Mech. Eng. , 146 : 281
- Helm , D and Haupt , P . 2003 . Inter. J. Solids Struct. , 40 : 827
- Ball , J and James , R . 1987 . Arch. Rational Mech. Anal. , 100 : 13
- Kohn , R and Strang , G . 1986 . Commun. Pure Appl. Math. , 39 : 113
- Kohn , R and Strang , G . 1986 . Commun. Pure Appl. Math. , 39 : 139
- Kohn , R and Strang , G . 1986 . Commun. Pure Appl. Math. , 39 : 353
- Dacorogna , B . 1989 . Direct Methods in the Calculus of Variations , Berlin : Springer-Verlag .
- Luskin , M . 1996 . Acta Numer. , 5 : 191
- Müller , S . 1999 . “ Variational models for microstructure and phase transisitions ” . In Calculus of Variations and Geometric Evolution Problems, Lecture Notes in Mathematics 1713 , Edited by: Hilderbrandt , S and Struwe , M . 85 Berlin : Springer Verlag .
- Aubry , S , Fago , M and Ortiz , M . 2003 . Comput. Meth. Appl. Mech. Eng. , 192 : 2823
- Kružík , M , Mielke , A and Roubíček , T . 2005 . Meccanica , 40 : 389
- Govindjee , S and Miehe , C . 2001 . Comput. Meth. Appl. Mech. Eng. , 191 : 215
- Bartel , T and Hackl , K . 2008 . Mater. Sci. Eng. A – Struct. Mater. Prop. Microstruct. Process. , 481 : 371
- Mielke , A , Theil , F and Levitas , V . 2002 . Arch. Ration. Mech. Anal. , 162 : 137
- Petryk , H and Stupkiewicz , S . 2010 . J. Mech. Phys. Solids , 58 : 390
- Petryk , H , Stupkiewicz , S and Maciejewski , G . 2010 . J. Mech. Phys. Solids , 58 : 373
- Gurtin , M . 2000 . Configurational Forces as Basic Concepts of Continuum Physics , New York : Springer-Verlag .
- Abeyaratne , R and Knowles , J . 1990 . J. Mech. Phys. Solids , 38 : 345
- Hildebrand , F and Abeyaratne , R . 2008 . J. Mech. Phys. Solids , 56 : 1296
- Faran , E and Shilo , D . 2011 . J. Mech. Phys. Solids , 59 ( 5 ) : 975
- Stupkiewicz , S , Maciejewski , G and Petryk , H . 2007 . Acta Mater. , 55 : 6292
- Murr , L . 1975 . Interfacial Phenomena in Metals and Alloys , London : Addison-Wesley .
- Porter , D and Easterling , K . 1992 . Phase Transformations in Metals and Alloys , London : Chapman & Hall .
- Ji , H , Chopp , D and Dolbow , J . 2002 . Inter. J. Numer. Meth. Eng. , 54 : 1209
- Fried , E and Gurtin , M . 1993 . Phys. D: Nonlinear Phenom. , 68 : 326
- Fried , E and Gurtin , M . 1994 . Phys. D: Nonlinear Phenom. , 72 : 287
- Fried , E and Grach , G . 1997 . Arch. Ration. Mech. Anal. , 138 : 355
- Allen , S and Cahn , J . 1979 . Acta Metall. , 27 : 1085
- Gurtin , M . 1996 . Physica D , 92 : 178
- McFadden , G , Wheeler , A , Braun , R , Coriell , S and Sekerka , R . 1993 . Phys. Rev. E , 48 : 2016
- DalMaso , G . 1993 . Introduction to Γ-Convergence , Boston : Birkhäuser .
- Braides , A . 2002 . Γ-Convergence for Beginners , Oxford : Oxford University Press .
- Modica , L . 1987 . Ann. Inst. Henri Poincare – Analyses Non Lineaire , 4 : 487
- Alberti , G , Baldo , S and Orlandi , G . 2005 . Indiana Univ. Math. J. , 54 : 1411
- Alber , H and Zhu , P . 2008 . Proc. Roy. Soc. Edinburgh , 138A : 923
- Jacobs , A . 2000 . Phys. Rev. B , 61 : 6587
- Jacobs , A , Curnoe , S and Desai , R . 2003 . Phys. Rev. B , 68 , Article No. 224104
- Rasmussen , K , Lookman , T , Saxena , A , Bishop , A , Albers , R and Shenoy , S . 2001 . Phys. Rev. Lett. , 87 ( 5 ) Article No. 055704
- Levitas , V , Lee , D and Preston , D . 2010 . Inter. J. Plast. , 26 : 395
- Levitas , V and Preston , D . 2002 . Phys. Rev. B , 66 , Article No. 134206
- Artemev , A , Jin , Y and Khachaturyan , A . 2001 . Acta Mater. , 49 : 1165
- Artemev , A , Jin , Y and Khachaturyan , A . 2002 . Phil. Mag. A , 82 : 1249
- Jin , Y , Artemev , A and Khachaturyan , A . 2001 . Acta Mater. , 49 : 2309
- Finel , A , Y. Le Bouar, Gaubert , A and Salman , U . 2010 . C.R. Phys. , 11 : 245
- Levitas , V , Levin , V , Zingerman , K and Freiman , E . 2009 . Phys. Rev. Lett. , 103 : 025702
- Miehe , C . 2002 . Inter. J. Numer. Meth. Eng. , 55 : 1285
- Miehe , C , Schotte , J and Lambrecht , M . 2002 . J. Mech. Phys. Solids , 50 : 2123
- Miehe , C , Lambrecht , M and Gürses , E . 2004 . J. Mech. Phys. Solids , 52 : 2725
- Miehe , C . 2010 . J. Mech. Phys. Solids , 59 : 898
- Chipot , M and Kinderlehrer , D . 1988 . Arch. Ration. Mech. Anal. , 103 : 237
- Ostsuka , K and Shimizu , K . 1974 . Trans. Jpn. Inst. Metals , 15 ( 2 ) : 103
- Eshelby , J . 1956 . Solid State Phys. 3 , p.79
- Fitzhugh , R . 1961 . Biophys. J. , 1 : 445
- Nagumo , J , Arimoto , S and Yoshizawa , S . 1962 . Proc. Inst. Radio Eng. , 50 : 2061
- van Saarloos , W . 2003 . Phys. Rep. , 386 : 29
- Arlt , G . 1990 . J. Mater. Sci. , 25 : 2655
- Kohn , R and Müller , S . 1992 . Phil. Mag. A , 66 ( 5 ) : 697