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More recently, Silling (2000) proposed a nonlocal theory that does not require spatial derivatives-the peridynamic (PD) theory.
1.2.1 Basics of Peridynamic Theory
In light of the inadequacies of local and nonlocal theories, the peridynamic theory, which is nonlocal, was introduced by Silling (2000) and Silling et al
Similar to the nonlocal theory formulated by Kunin (1982), the peridynamic theory employs displacements rather than displacement derivatives in its formulation.
Basically, the peridynamic theory is a reformulation of the equation of motion in solid mechanics that is better suited for modeling bodies with discontinuities, such as cracks.
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