Methods for orienting material physical properties using constraint transformation and isoparametric shape functions

摘要

Constraint-based methods for determining orientations of material physical properties using an isoparametric shape function are disclosed. In one embodiment, a method of defining an orientation of an material physical property includes defining nonlinear and/or discontinuous design constraints of design values in a geometric domain associated with one or more physical attributes of the material physical property, and translating the nonlinear and/or discontinuous design constraints into continuous, first order design constraints of the design values by applying an isoparametric shape function. The method further includes performing a topology optimization using the continuous, first order design constraints of the design values, and reverse-translating results of the topology optimization back into the geometric domain using the isoparametric shape function. The results of the topology optimization in the geometric domain are indicative of the orientation of the material physical property.