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...

We introduce PeriFast/Corrosion, a MATLAB code that uses the fast convolution-based method (FCBM) for peridynamic (PD) models of corrosion damage. The FCBM convolutional structure PD equations and employs Fast Fourier transform (FFT) to achieve computational complexity $$O(NlogN)$$ . PeriFast/Corrosion has significantly lower memory allocation needs, $$O(N)$$ , compared with, example, meshfree ...