Propagation of Microscale Material Uncertainty in a Class of Hyperelastic Finite Deformation Stored Energy Functions

Whenever effective material responses are determined, there is a degree of microscale uncertainty. For example in the case of overall isotropic responses, we have uncertainties in the effective constitutive parameters, such as μ* + δμ* and κ* + δκ*. In this communication bounds on the resulting uncertainty in a class of polyconvex macroscale finite deformation stored energy functions, which employ the uncertain material parameters, are determined.