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Nonlinear finite element analysis for plastic deformation by local random yielding
Abstract
A probabilistic local random yielding model has been developed in simulating the uniaxial stress-strain curve. Due to the mathematical existence of the microplastic strain at any loading level, a continuous expansion of random yielding surface is defined. A piecewise linearity assumption is applied in the nonlinear finite element analysis for plastic deformation. The elastic-plastic matrix for the incremental stress-strain relationship was continuously characterized by the hardening function using the local random yielding model. In determining the elastic-plastic matrix for each element, the mathematical continuity of the hardening function eliminates the numerical iteration when an element is forced from the elastic region to the plastic region. The numerical solution of stress, strain and displacement fields at each element node accumulates through each incremental step. The validity and accuracy of the nonlinear finite element method for plastic deformation has been demonstrated by comparing with the experimental results reported in the literature.
Subject Area
Mechanics|Plastics
Recommended Citation
Lin, Kuen-Nan, "Nonlinear finite element analysis for plastic deformation by local random yielding" (1987). ETD collection for University of Nebraska-Lincoln. AAI8803759.
https://digitalcommons.unl.edu/dissertations/AAI8803759