Nonlinear finite elements/Homework 11/Solutions/Problem 1/Part 12

From Wikiversity
Jump to navigation Jump to search

Problem 1: Part 12: Trial elastic stress[edit]

In the radial return algorithm, we define a trial elastic state as

where are the stress and strain at and are the values at . Show that, if the elastic response of the material is linear, equation (2) can be written as

From equation (2)

Therefore,

Hence shown.