The peridynamic stress formula proposed by Lehoucq and Silling (2008) is cumbersome to be implemented in numerical computations. In this paper, we show that the tensor has exact mathematical expression as of first Piola–Kirchhoff static Virial originated from Irving–Kirkwood–Noll formalism (Irving Kirkwood, 1905; Noll, 1955) through Hardy–Murdoch procedure (Hardy, 1982; Murdoch, 1983), which of...