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Implicit time integration of elasto‐viscoplastic solids subject to the Mohr‐Coulomb yield criterion
Author(s) -
Damjanić F.,
Owen D. R. J.
Publication year - 1982
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620181209
Subject(s) - viscoplasticity , mohr–coulomb theory , yield (engineering) , computation , coulomb , mathematics , matrix (chemical analysis) , numerical integration , convergence (economics) , numerical analysis , finite element method , constitutive equation , mathematical analysis , structural engineering , materials science , engineering , physics , algorithm , composite material , quantum mechanics , economics , economic growth , electron
For selected situations in geotechnical engineering, the use of implicit time integration techniques for elasto‐viscoplastic analysis is advantageous, or even unavoidable. In this paper the necessary expressions are derived for the implicit analysis of a material governed by the Mohr‐Coulomb yield criterion. In particular, detailed expressions are provided for the viscoplastic, strain rate derivative matrix H n in a form suitable for numerical computation. Use of this algorithm is illustrated by the solution of a numerical example.