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Finite element analysis of transient strain localization phenomena in frictional solids
Author(s) -
Leroy Y.,
Ortiz M.
Publication year - 1990
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.1610140203
Subject(s) - shear band , inviscid flow , mechanics , adiabatic shear band , finite element method , shear (geology) , materials science , inertia , strain rate , softening , viscoplasticity , transient (computer programming) , boundary value problem , structural engineering , composite material , classical mechanics , physics , engineering , constitutive equation , quantum mechanics , operating system , computer science
Finite elements with embedded shocks are used to investigate transient strain localization phenomena in frictional solids. In particular, we seek to elucidate the effect of rate sensitivity and inertia on the development of shear bands in solids subjected to impulsive loading. As in the static case, our results show that shear banding may induce severe softening of the specimen even as the material steadily hardens. As expected, rate sensitivity retards the onset of structural softening and tends to stabilize the post‐peak response. It is verified that the static solution is indeed recovered in the inviscid limit. Under dynamic conditions, shear bands are observed to propagate discontinuously, arresting and resuming propagation repeatedly before linking up with the boundary of the specimen. The direction of the band is equally unsteady. In addition, multiple shear banding, with the development of secondary and even tertiary bands, appears to be a prevalent mechanism at sufficiently high impact velocities.