Extension of Ordinary State-Based Peridynamic Model for Nonlinear Analysis

Peridynamic is a nonlocal theory that uses integral forms of governing equations, making it suitable for describing objects with discontinuous states such as cracks. After more than two decades development, peridynamic has been effectively applied to numerous solid mechanics studies. However, in the field ordinary state-based modeling nonlinear deformation, comprehensive model can establish general connection continuum and allow selection different influence functions still lacking. As consequence, further extension existing models promising, represents substantial addition current model. In this study, an extended analysis constructed, along basic definition volumetric strain, strain energy function. Based on principle virtual displacement, complete derivations parameters are presented two-dimensional three-dimensional conditions. that, specific numerical scheme algorithm implementation summarized. Its capability accuracy shown by contrasting proposed model's predictions film tensile fracture experimental observations. Finally, several other examples provided demonstrate applicability its implementation.