Solving the Stochastic Navier-Lamé System with Generalized Polynomial Chaos

In realistic elasticity problems, uncertainty in parameters such as material properties and loads may arise. We present a method for solving stochastic linear and nonlinear elasticity problems, using Generalized Polynomial Chaos. In this method the random quantities are projected onto an orthogonal polynomial basis spanning the random space. In application, we study the problem of tube-like structures with uncertain Young’s modulus, undergoing random forcing from a cross-flow. This work is done in conjunction with Z. Yosibash and G.E. Karniadakis.