A continuum model for periodic two-dimensional block structures

被引:0
作者
Sulem, J [1 ]
Muhlhaus, HB [1 ]
机构
[1] UNIV WESTERN AUSTRALIA, ROCK MECH RES CTR, DIV EXPLORAT & MIN, NEDLANDS, WA 6009, AUSTRALIA
关键词
block structure; elasticity; homogenization; Cosserat continuum; dynamics; large deformation;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
A continuum model for regular block structures is derived by replacing the difference quotients of the discrete equations by corresponding differential quotients. The homogenization procedure leads to an anisotropic Cosserat Continuum. For elastic block interactions the dispersion relations of the discrete and the continuous models are derived and compared. Yield criteria for block tilting and sliding are formulated. An extension of the theory for large deformation is proposed. (C) 1997 by John Wiley & Sons, Ltd.
引用
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页码:31 / 46
页数:16
相关论文
共 8 条
[1]   THE PHYSICS OF PLASTIC-DEFORMATION [J].
AIFANTIS, EC .
INTERNATIONAL JOURNAL OF PLASTICITY, 1987, 3 (03) :211-247
[2]  
BIOT MA, 1965, MECHANICS INCREMENTA
[3]  
Muhlhaus H. -B., 1995, CONTINUUM MODELS MAT, P451
[4]  
MUHLHAUS HB, 1990, COMPREHENSIVE ROCK E, V2, P209
[5]  
MUHLHAUS HB, 1997, IN PRESS J STRUCTURA
[6]  
SCHAEFER H, 1962, MISZELLANEEN ANGEWAN, P277
[7]   A MICROPOLAR THEORY OF FINITE DEFORMATION AND FINITE ROTATION MULTIPLICATIVE ELASTOPLASTICITY [J].
STEINMANN, P .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1994, 31 (08) :1063-1084
[8]  
Sulem J., 1995, Bifurcation Analysis in Geomechanics