The partial differential equation governing the problem of elastoplasticity is linear in the elastic region and nonlinear in the plastic region. In the elastic region, we encounter the problem of elasticity which is governed by the Navier Lame equations. We present a solution to the above problem through numerical schemes such as the finite element method. problem. This is hard to achieve from a numerical point of view however. is explained and a new method to solve the problem is proposed. The path us improve Newton's method by a better choice of the initial guess. this method for the penalty parameter as close to zero as we want and thereby we obtain an exact solution to our original PDE. Plots with results are presented.
Worcester Polytechnic Institute
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Kohengadol, Roni A., "Nonlinear Solvers For Plasticity Problems" (2004). Masters Theses (All Theses, All Years). 194.
elastoviscoplasticity, Elastoplasticity, Differential equations, Partial