Peridynamics

Article summary

Peridynamics is a non-local formulation of continuum mechanics that is oriented toward deformations with discontinuities, especially fractures. Originally, bond-based peridynamic was introduced, wherein, internal interaction forces between a material point and all the other ones with which it can interact, are modeled as a central force field. This type of force field can be imagined as a mesh of bonds connecting each point of the body with every other interacting point within a certain distance which depends on a material property, called the peridynamic horizon. Later, to overcome bond-based framework limitations for the material Poisson's ratio ( 1/3 for plane stress and 1/4 for plane strain in two-dimensional configurations; 1/4 for three-dimensional ones), state-base peridynamics, has been formulated. Its characteristic feature is that the force exchanged between a point and another one is influenced by the deformation state of all other bonds relative to its interaction zone. The characteristic feature of peridynamics, which makes it different from classical local mechanics, is the presence of finite-range bonds between any two points of the material body: it is a feature that approaches such formulations as discrete meso-scale theories of matter.

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