Premium
Elasto‐viscoplastic and elasto‐plastic large deformation analysis of thin plates and shells
Author(s) -
Dinis L. M. S.,
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.1620180409
Subject(s) - viscoplasticity , discretization , finite element method , shell (structure) , displacement (psychology) , stiffness , deformation (meteorology) , materials science , mechanics , structural engineering , mathematics , mathematical analysis , constitutive equation , engineering , physics , composite material , psychology , psychotherapist
To account for plastic deformation in plate and shell structures an elasto‐viscoplastic solution algorithm is considered based on Perzyna's model for material behaviour. This algorithm can be employed to solve for time‐dependent elasto‐viscoplastic situations and by allowing steady‐state conditions to be reached, elasto‐plastic problems can also be considered. For the large displacement elasto‐viscoplastic analysis of thin shells, an incremental stiffness procedure is employed together with a Lagrangian description of the stress and strain vectors. The Semiloof plate and shell elements are used for finite element space discretization. The procedures developed are applied to the solution of several numerical examples and the solutions compared with results from other sources where available.