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An analytical solution for axisymmetric tunnel problems in elasto‐viscoplastic media
Author(s) -
Fritz P.
Publication year - 1984
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.1610080403
Subject(s) - viscoplasticity , dilatant , rotational symmetry , mechanics , plane stress , plasticity , materials science , flow (mathematics) , geotechnical engineering , classical mechanics , constitutive equation , structural engineering , engineering , physics , finite element method , composite material
An analytical solution is presented for the time‐dependent stresses and displacements in plane strain around a circular hole when it is loaded by an axisymmetric internal and far‐field pressure. The material is assumed to be elasto‐viscoplastic with dilatant plastic deformations according to a non‐associated flow rule. Strain softening is considered by a modified St. Venant slider which is characterized by Mohr‐Coulomb yield conditions for both the peak and the residual strengths.