Opening of Mode I Fractures in Geomaterials with Rotating Particles: Small-Scale Cosserat Continuum Approach and Its Verification

2017 ◽  
pp. 547-555 ◽  
Author(s):  
E. Pasternak ◽  
A. V. Dyskin ◽  
M. Esin ◽  
Y. Xu
Keyword(s):  
Cosserat Continuum ◽  
Small Scale ◽  
Mode I ◽  
Continuum Approach

Analysis of plane Couette shear test of granular media in a Cosserat continuum approach

2014 ◽  
Vol 69 (1) ◽  
pp. 106-115 ◽  
Author(s):  
Wenxiong Huang ◽  
Scott W. Sloan ◽  
Daichao Sheng
Keyword(s):  
Granular Media ◽  
Shear Test ◽  
Cosserat Continuum ◽  
Continuum Approach

Numerical Examination of Mixed Mode Crack in SSY: A Review

2013 ◽  
Vol 275-277 ◽  
pp. 198-202
Author(s):  
Prasad S. Godse ◽  
Sangram A. Gawande ◽  
Sunil Bhat
Keyword(s):  
Energy Release Rate ◽  
Energy Release ◽  
Release Rate ◽  
Mixed Mode ◽  
Small Scale ◽  
Mode I ◽  
Mode Ii ◽  
Fracture Parameter ◽  
Conservation Of Energy ◽  
Mixed Mode Crack

The paper reviews the numerical methodology to investigate fracture parameter namely energy release rate, G, of a mixed mode crack. An inclined, through, centre crack is assumed in a ductile steel plate subjected to bi-axial tension. Applied stress and crack size are suitably selected to simulate small scale yielding (SSY) condition at the crack tips. The cracked plate is modelled by finite element method. Both plane stress and plane strain situations are examined. G value is found from J integral. Equations of transformation are employed to obtain normal and shear stress in the plane of the crack. G is then again determined for Mode I and Mode II cracks by modelling each case separately. The analysis is finally validated by fulfilment of the conservation of energy release rate criterion, G (Mixed mode) = G (Mode I) + G (Mode II).

Evolution of Shear Localization in an Elasto-Plastic Cosserat Material under Shearing

2013 ◽  
Vol 577-578 ◽  
pp. 21-24 ◽  
Author(s):  
Babak Ebrahimian
Keyword(s):  
Granular Layer ◽  
Shear Localization ◽  
Cosserat Continuum ◽  
Stationary Condition ◽  
State Variables ◽  
Particle Rotation ◽  
Continuum Approach ◽  
Shear Deformations ◽  
Numerical Investigations ◽  
Elasto Plasticity

Numerical investigations of shear localization evolution within a layer of granular material under large monotonic shearing are presented. Here, micro-polar (Cosserat) continuum approach is applied within the framework of elasto-plasticity to remove the numerical difficulties of localization modeling encountered in classical continuum. The micro-polar kinematical boundary conditions are used to model the rotation resistance of soil grains along the interface between granular layer and surface of adjoining structure. The finite element results show that shear localization takes place from the beginning of shearing and appears parallel to the direction of shearing, close to the boundary with less restriction of particle rotation. Furthermore, the state variables tend towards asymptotical stationary condition in large shear deformations.

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