Anisotropic peridynamics for homogenized microstructured materials

An anisotropic continuum-molecular model based on pair potentials for describing the linear static and dynamic behavior of periodic heterogeneous Cauchy materials is derived in framework peridynamic theory. Non-central pairwise actions are assumed as work-conjugates to specific deformation variables. A constitutive law, depending trigonometrically material fiber direction preserving elastic symmetries material, properly defined. Based this theoretical ground, a bond-based type continuum with oriented points, governed by six independent micro-moduli, obtained. Considering microstructured featuring rigid massive blocks connected soft interfaces, potential functions consistently identified terms geometrical parameters microstructure. The identification formal analogy overall tensors homogeneous obtained through continualization schemes equivalent material. Consequently, macroscopic properties described properties, but its micro-moduli also explicitly related interfaces accuracy proposed response successfully verified comparison high-fidelity finite element models an auxetic tetrachiral block lattice considering different cell orientations interface well analytical solutions fully elasticity.