IMPLEMENTATION OF AN ELASTIC-PLASTIC ANALYSIS CAPABILITY FOR VAST FINITE ELEMENT COMPUTER PROGRAM

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Authors
  1. Jiang, L.
  2. Chernuka, M.W.
Corporate Authors
Defence Research Establishment Atlantic, Dartmouth NS (CAN);MARTEC Ltd, Halifax NS (CAN)
Abstract
The report presents the theoretical background and computer implementation issues related to the development of a materially nonlinear analysis capability in the VAST finite element program. Following a general discussion of the fundamental theory of plasticity for infiniteimal strains, the explicit and implicit numerical integration algorithms for integrating the rate type constitutive relations are given along with the associated ealstic-plastic tangent moduli. Both isotropic and kinematic hardening models are considered under the restriction of bi-linear stress-strain relations, and a unified formulation is constructed for elastic-plastic problems in reduced stress spaces. The elastic-plastic analysis capability has been incorporated into several commonly used elements in VAST, including the eight-noded thick/thin shell (IEC=1), the four-noded quadrilateral shell (IEC=5); the three-noded triangular plate/shell (IEC=4); the two-noded general beam (IEC=3) and the three-noded curved beam (IEC=7) elements. This capability can be either utilized alone in materially-nonlinear-only analyses or combined with the geometrically nonlinear feature to handle generally nonlinear problems. A large number of example problems have been solved to verify the newly developed materially nonlinear analysis capability and the nonlinear responses predicted by VAST are compared with published numerical results with very good agreement.
Keywords
Plasticity;Material nonlinearity;Geometric nonlinearity;Shell element;Beam element;Plastic-elastic material
Report Number
DREA-CR-96-457;MARTEC-TR-95-23 — Contractor Report
Date of publication
01 Oct 1995
Number of Pages
210
DSTKIM No
98-00578
CANDIS No
507254
Format(s):
Hardcopy;Document Image stored on Optical Disk

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