Embedded strong discontinuity finite elements for fractured geomaterials with variable friction

被引:62
作者
Foster, C. D.
Borja, R. I. [1 ]
Regueiro, R. A.
机构
[1] Stanford Univ, Stanford, CA 94305 USA
[2] Univ Colorado, Engn Ctr ECOT 441, Boulder, CO 80309 USA
关键词
bifurcation; rate and state-friction; strong discontinuity; enhanced strain; finite element; SOFTENING CONSTITUTIVE-EQUATIONS; MODELING STRONG DISCONTINUITIES; STRAIN LOCALIZATION; NUMERICAL-SIMULATION; INCOMPATIBLE MODES; CONTINUUM APPROACH; PLASTICITY MODELS; MATERIAL FAILURE; SOLID MECHANICS; NORMAL STRESS;
D O I
10.1002/nme.2020
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The strong discontinuity approach to modelling strain localization, combined with an enhanced strain element, has been used for more than a decade to model strain localization in materials including geomaterials. Most implementations of enhanced strain elements in the post-localization regime use very simple constitutive formulations along the discontinuity, such as linear softening or a constant friction coefficient. However, the softening relations can be much more complex for geomaterials. For rocks this softening is induced by micro-fractures coalescing into macroscopic cracks during a narrow time interval called 'slip weakening.' During this interval the cohesive resistance on the nucleating crack decays to zero while the frictional resistance increases. Furthermore, research has shown that the coefficient of friction for these materials is not constant, but in fact is a function both of the slip speed and the state of the material, including wear, temperature, and other factors. In this paper we augment the modelling capabilities of an enhanced strain element by incorporating a cohesive softening law and a popular rate- and state-dependent friction model commonly used for describing the constitutive properties of rocks and rock-like materials sliding along the fractured surface. Copyright (c) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码:549 / 581
页数:33
相关论文
共 77 条
[1]   Plastic deformation modeling of AL-6XN stainless steel at low and high strain rates and temperatures using a combination of bcc and fcc mechanisms of metals [J].
Abed, FH ;
Voyiadjis, GZ .
INTERNATIONAL JOURNAL OF PLASTICITY, 2005, 21 (08) :1618-1639
[2]   A physically based gradient plasticity theory [J].
Al-Rub, RKA ;
Voyiadjis, GZ .
INTERNATIONAL JOURNAL OF PLASTICITY, 2006, 22 (04) :654-684
[3]  
Armero F, 2003, INT J NUMER METH ENG, V56, P2101, DOI [10.1002/nme.656, 10.1002/mne.656]
[4]   An analysis of strong discontinuities in multiplicative finite strain plasticity and their relation with the numerical simulation of strain localization in solids [J].
Armero, F ;
Garikipati, K .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 1996, 33 (20-22) :2863-2885
[5]  
Armero F, 1999, INT J NUMER METH ENG, V46, P1673, DOI 10.1002/(SICI)1097-0207(19991210)46:10<1673::AID-NME719>3.0.CO
[6]  
2-S
[7]  
Armero F, 1999, MECH COHES-FRICT MAT, V4, P101, DOI 10.1002/(SICI)1099-1484(199903)4:2<101::AID-CFM78>3.0.CO
[8]  
2-Y
[9]   A FINITE-ELEMENT WITH EMBEDDED LOCALIZATION ZONES [J].
BELYTSCHKO, T ;
FISH, J ;
ENGELMANN, BE .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 70 (01) :59-89
[10]  
Belytschko T, 2001, INT J NUMER METH ENG, V50, P993, DOI 10.1002/1097-0207(20010210)50:4<993::AID-NME164>3.0.CO