Finite deformation plasticity for composite structures: Computational models and adaptive strategies

We develop computational models and adaptive modeling strategies for obtaining an approximate solution to a boundary value problem describing the finite deformation plasticity of heterogeneous structures. A nearly optimal mathematical model consists of an averaging scheme based on approximating eigenstrains and elastic concentration factors in each micro phase by a constant in the portion of the macro-domain where modeling errors are small, whereas elsewhere, a more detailed mathematical model based on a piecewise constant approximation of eigenstrains and elastic concentration factors is utilized. The methodology is developed within the framework of ‘statistically homogeneous’ composite material and local periodicity assumptions.

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