A general ordinary state-based peridynamic formulation for anisotropic materials

A general ordinary state -based peridynamic formulation to model anisotropic materials in 2D and 3D is proposed. The new peridynamic constitutive model introduces two bond stiffness functions depending on the bond orientations. These functions are defined such that the components of the elasticity tensor evaluated by using the new formulation exactly reproduce those of classical continuum mechanics in the case of homogeneous deformation. Several numerical examples in 2D and 3D illustrate the validity of the proposed formulation for fully anisotropic materials. This formulation is also suitable to model monoclinic, orthotropic, transversely isotropic, and isotropic materials.