DYNAMIC SOLID-SOLID TRANSITIONS WITH PHASE CHARACTERIZED BY AN ORDER-PARAMETER

被引:197
作者
FRIED, E [1 ]
GURTIN, ME [1 ]
机构
[1] CARNEGIE MELLON UNIV,DEPT MATH,PITTSBURGH,PA 15213
来源
PHYSICA D | 1994年 / 72卷 / 04期
基金
美国国家科学基金会;
关键词
D O I
10.1016/0167-2789(94)90234-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We develop a thermodynamically consistent continuum theory for the study of solid-solid phase transitions where deformation dominates heat and mass transfer. We use an order parameter to characterize the notion of phase and identify phase interfaces with thin transition zones within which the strain and order parameter exhibit large gradients. To model die growth of one phase at the expense of another we introduce configurational forces, subject to their own balance, that work against changes in the order parameter. By studying traveling waves and the, asymptotics of a transition layer, we establish connections between our theory and more standard approaches that identify phase interfaces with surfaces of strain discontinuity.
引用
收藏
页码:287 / 308
页数:22
相关论文
共 25 条
[1]   ON THE DRIVING TRACTION ACTING ON A SURFACE OF STRAIN DISCONTINUITY IN A CONTINUUM [J].
ABEYARATNE, R ;
KNOWLES, JK .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1990, 38 (03) :345-360
[2]   ON THE PROPAGATION OF MAXIMALLY DISSIPATIVE PHASE BOUNDARIES IN SOLIDS [J].
ABEYARATNE, R ;
KNOWLES, JK .
QUARTERLY OF APPLIED MATHEMATICS, 1992, 50 (01) :149-172
[3]   IMPLICATIONS OF VISCOSITY AND STRAIN-GRADIENT EFFECTS FOR THE KINETICS OF PROPAGATING PHASE BOUNDARIES IN SOLIDS [J].
ABEYARATNE, R ;
KNOWLES, JK .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1991, 51 (05) :1205-1221
[4]   CREEP AND YIELD IN MARTENSITIC TRANSFORMATIONS [J].
ACHENBACH, M ;
MULLER, I .
INGENIEUR ARCHIV, 1983, 53 (02) :73-83
[5]   FINE PHASE MIXTURES AS MINIMIZERS OF ENERGY [J].
BALL, JM ;
JAMES, RD .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1987, 100 (01) :13-52
[6]   NONLINEAR AND NONLOCAL CONTINUUM MODEL OF TRANSFORMATION PRECURSORS IN MARTENSITES [J].
BARSCH, GR ;
KRUMHANSL, JA .
METALLURGICAL TRANSACTIONS A-PHYSICAL METALLURGY AND MATERIALS SCIENCE, 1988, 19 (04) :761-775
[7]   TWIN BOUNDARIES IN FERROELASTIC MEDIA WITHOUT INTERFACE DISLOCATIONS [J].
BARSCH, GR ;
KRUMHANSL, JA .
PHYSICAL REVIEW LETTERS, 1984, 53 (11) :1069-1072
[8]   DYNAMICS OF LAYERED INTERFACES ARISING FROM PHASE BOUNDARIES [J].
CAGINALP, G ;
FIFE, PC .
SIAM JOURNAL ON APPLIED MATHEMATICS, 1988, 48 (03) :506-518
[9]   VECTOR THERMODYNAMICS FOR ANISOTROPIC SURFACES .2. CURVED AND FACETED SURFACES [J].
CAHN, JW ;
HOFFMAN, DW .
ACTA METALLURGICA, 1974, 22 (10) :1205-1214
[10]  
CHIPOT M, 1988, ARCH RATION MECH AN, V103, P237