Influence of material flux on the jump relations at a singular interface in a multicomponent solid

被引:34
作者
Fischer, FD
Simha, NK
机构
[1] Univ Leoben, Inst Mech, Leoben, Austria
[2] Austrian Acad Sci, Erich Schmid Inst Mat Sci, A-8700 Leoben, Austria
[3] Univ Miami, Dept Mech Engn, Coral Gables, FL 33124 USA
关键词
D O I
10.1007/s00707-004-0138-6
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
The mass and energy balances for a multicomponent solid, changing its composition by diffusion, are derived both in the bulk and at a moving non-material (singular) interface like a phase boundary. The body is deformable and diffusion of interstitial and substitutional species as well as vacancies is considered. The thermodynamic driving forces and corresponding fluxes are calculated in an interface point derived from the study of the local dissipation. The surface growth terms, as introduced recently by Irschik [1], can be identified via the flux of vacancies.
引用
收藏
页码:213 / 223
页数:11
相关论文
共 22 条
[1]  
[Anonymous], 2003, KONTINUUMS KONTAKTME
[2]   THE DYNAMICS OF SOLID-SOLID PHASE-TRANSITIONS .2. INCOHERENT INTERFACES [J].
CERMELLI, P ;
GURTIN, ME .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1994, 127 (01) :41-99
[3]  
Cocks ACF, 1999, ADV APPL MECH, V36, P81
[4]  
Fischer F.D., 1996, Appl. Mech. Rev, V49, P317, DOI [10.1115/1.3101930, DOI 10.1115/1.3101930]
[5]   Kinetics of diffusional phase transformation in multicomponent elastic-plastic materials [J].
Fischer, FD ;
Simha, NK ;
Svoboda, J .
JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY-TRANSACTIONS OF THE ASME, 2003, 125 (03) :266-276
[6]   A criterion for the martensitic transformation of a microregion in an elastic-plastic material [J].
Fischer, FD ;
Reisner, G .
ACTA MATERIALIA, 1998, 46 (06) :2095-2102
[7]   Coherent solid-state phase transitions with atomic diffusion: A thermomechanical treatment [J].
Fried, E ;
Gurtin, ME .
JOURNAL OF STATISTICAL PHYSICS, 1999, 95 (5-6) :1361-1427
[8]  
Grinfeld MA., 1991, Thermodynamic Methods in the Theory of Heterogeneous Systems
[9]   THE DYNAMICS OF SOLID-SOLID PHASE-TRANSITIONS .1. COHERENT INTERFACES [J].
GURTIN, ME .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1993, 123 (04) :305-335
[10]   THE CONTINUUM-MECHANICS OF COHERENT 2-PHASE ELASTIC SOLIDS WITH MASS-TRANSPORT [J].
GURTIN, ME ;
VOORHEES, PW .
PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1993, 440 (1909) :323-343