Nonlinear finite elements/Homework 11/Solutions/Problem 1/Part 15
Problem 1: Part 15: Finding the plastic flow parameter edit
The discretized form of the Kuhn-Tucker conditions in conjunction with the consistency condition gives us
Use this condition and the relations you have derived in the previous sections to arrive at a nonlinear equation in that can be solved using Newton iterations.
The yield function is
Therefore the discretized form of Kuhn-Tucker + consistency is
Plugging into the discretized yield condition, we have
The nonlinear equation in is