Existence results for energetic models for rate-independent systems

被引:145
作者
Mainik, A [1 ]
Mielke, A [1 ]
机构
[1] Univ Stuttgart, Inst Anal Dynam & Modellierung, D-70569 Stuttgart, Germany
关键词
D O I
10.1007/s00526-004-0267-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
[No abstract available]
引用
收藏
页码:73 / 99
页数:27
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共 30 条
[1]   Kinetics of materials with wiggly energies: Theory and application to the evolution of twinning microstructures in a Cu-Al-Ni shape memory alloy [J].
Abeyaratne, R ;
Chu, C ;
James, RD .
PHILOSOPHICAL MAGAZINE A-PHYSICS OF CONDENSED MATTER STRUCTURE DEFECTS AND MECHANICAL PROPERTIES, 1996, 73 (02) :457-497
[2]  
BARBU V., 1986, Convexity and Optimization in Banach Spaces
[3]  
Brokate M., 1996, Hysteresis and phase transitions, DOI 10.1007/978-1-4612-4048-8
[4]   Non-convex potentials and microstructures in finite-strain plasticity [J].
Carstensen, C ;
Hackl, K ;
Mielke, A .
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2018) :299-317
[5]   A density result in two-dimensional linearized elasticity, and applications [J].
Chambolle, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2003, 167 (03) :211-233
[6]   ON A CLASS OF DOUBLY NONLINEAR EVOLUTION-EQUATIONS [J].
COLLI, P ;
VISINTIN, A .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1990, 15 (05) :737-756
[7]  
DACORAGNA B, 1989, DIRECT METHODS CALC
[8]   A model for the quasi-static growth of brittle fractures: Existence and approximation results [J].
Dal Maso, G ;
Toader, R .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2002, 162 (02) :101-135
[9]   On the compactness of the stable set for rate-independent processes [J].
Efendiev, MA .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2003, 2 (04) :495-509
[10]   Revisiting brittle fracture as an energy minimization problem [J].
Francfort, GA ;
Marigo, JJ .
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 1998, 46 (08) :1319-1342