Stochastic Elasticity: A Nondeterministic Approach to the Nonlinear Field Theory

Shastic elasticity is a fast developing field that combines nonlinear elasticity and shastic theories in order to significantly improve model predictions by accounting for uncertainties in the mechanical responses of materials. However, in contrast to the tremendous development of computational methods for large-scale problems, which have been proposed and implemented extensively in recent years, at the fundamental level, there is very little understanding of the uncertainties in the behavi...