Fully coupled peridynamic thermomechanics

Abstract

Peridynamics is an emerging nonlocal continuum theory which allows governing field equations to be applicable at discontinuities. This applicability at discontinuities is achieved by replacing the spatial derivatives, which lose meaning at discontinuities, with integrals that are valid regardless of the existence of a discontinuity. This study presents a fully coupled peridynamic thermomechanical equations, and their nondimensional form. An explicit staggered algorithm is implemented in order to numerically approximate the solution to these coupled equations. The coupled thermal and structural responses of a thermoelastic semi-infinite bar and a thermoelastic vibrating bar are subsequently investigated. © 2012 by the American Institute of Aeronautics and Astronautics, Inc. All rights reserved.