A Peridynamic View of Classical Continuum Mechanics
A Peridynamic View of Classical Continuum Mechanics
Instructors/Speakers Prof. Xiaowei HE Institute of Software Chinese Academy of Sciences China Abstract Peridynamics is a formulation of the classical elastic theory that was originally targeted at simulating deformable objects with discontinuities, especially fractures. In this talk, I will introduce how to reformulate classical continuum mechanics with the peridynamic theory. To get an intuitive model that can be easily controlled, we formulate the strain energy density function as a function parameterized by the dilatation and bond stretches, which can be decomposed into multiple one-dimensional functions independently. To account for nonlinear material behaviors, we also propose a set of nonlinear basis functions to help design a nonlinear strain energy function more easily. For an anisotropic material, we additionally introduce an anisotropic ...