Peridynamics with unstable bonds small horizon limits and dynamic fracture mechanics
Robert Lipton (LSU)
Crack initiation and growth: methods, applications, and challenges
Wed 10:45 - 12:15
Barus-Holley 161
Peridynamics, proposed by Stewart Silling in 2000, is a nonlocal formulation of continuum mechanics capable of simulating cracks and is free of spatial derivatives. We consider peridynamic formulations with bonds that soften beyond a critical stretch. Distinguished ``small horizon'' limits are identified for this class of state based peridynamic models. The distinguished small horizon limit delivers a sharp interface model for dynamic free crack propagation inside brittle materials with elastic displacement fields satisfying the wave equation away from the free crack path. The elastic moduli and energy release rate for the sharp interface limit are expressed explicitly in terms of moments of the peridynamic influence function and parameters associated with the peridynamic potential energy.