Kamlun Shek

TL;DR: In this article, the authors generalize the classical mathematical homogenization theory for heterogeneous medium to account for eigenstrains and derive a close form expression relating arbitrary eigen-strains to the mechanical fields in the phases.

TL;DR: In this paper, a non-local theory for obtaining numerical approximation to a boundary value problem describing damage phenomena in a brittle composite material is developed. But the model is not suitable for the case of composite materials.

TL;DR: In this paper, the authors developed computational models and adaptive modeling strategies for obtaining an approximate solution to a boundary value problem describing the finite deformation plasticity of heterogeneous structures, which was developed within the framework of statistically homogeneous composite material and local periodicity assumptions.

TL;DR: In this article, a finite deformation plasticity formulation based on additive split of rate of deformation and hyperelasticity is presented, while rendering the choice and numerical integration of objective stress rates superfluous as the results are automatically objective.

TL;DR: In this article, a methodology for computationally efficient formulation of the tangent stiffness matrix consistent with incrementally objective algorithms for integrating finite deformation kinematics and with closest point projection algorithms for integration material response is developed.