ABSTRACT
Peridynamic-based elastodynamic computation tool named Perielastodynamics is presented in this chapter to simulate NDE/SHM problems. Peridynamic theory has become popular in last couple of decades, belongs to the family of nonlocal theories to simulate mechanical behavior of materials under load. Peridynamic simulations are proved to be more efficient and beneficial because around the cracks or the damages, modifications of the discretization are redundant. Instead of using differential approach in fundamental mechanics, peridynamic uses the integral approach. Similarly, instead of using differential approach for the fundamental equation of motion, Perielastodynamics uses the integral version of the equation of motion. For CNDE, perielastodynamic modeling technique would be immensely valuable because, unlike other methods, it provides opportunity to simulate both wave and damage propagation simultaneously, which is unique and not possible by any other methods. In this chapter only bond-based peridynamic approach is utilized for CNDE in metallic structure, where, nonlocal bond constant is assumed to be isotropic. However, wave propagation in general anisotropic material requires state-based peridynamic approach where, effective strain tensor is constructed from dyadic product of pairwise force vectors. Although basic formulation of state-based perielastodynamic is presented for anisotropic material, no simulation results are presented herein, and this is still an open research field under CNDE.
