Nonlinear Transient Phenomena in Elastic-Plastic Solidsby Jean H. Prevost, (M.ASCE), Assoc. Prof.; Dept. of Civ. Engrg., Princeton Univ., Princeton, N.J. 08544,
Serial Information: Journal of the Engineering Mechanics Division, 1982, Vol. 108, Issue 6, Pg. 1297-1311
Document Type: Journal Paper
A finite element model is proposed to analyze nonlinear transient phenomena in elastic-plastic solids due to both material and geometrical nonlinearities. Time integration of the semi discrete finite element equations is performed by using an implicit-explicit predictor-multicorrector algorithm developed by Hughes and co-workers. It is shown that the algorithm can be simply and concisely implemented. The technique allows for a convenient selection of implicit and explicit elements, and for a convenient implicit-explicit split of the various operators appearing in the equations of motion. The procedure proves to be extremely effective in dealing with incompressible plastic flow problems. Numerical results which demonstrate the versatility and accuracy of the method are presented.
Subject Headings: Elastic analysis | Transient response | Finite element method | Equations of motion | Algorithms | Geometrics
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