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peridynamics
Peridynamics is a formulation of continuum mechanics that is oriented toward deformations with discontinuities, especially fractures.
==Purpose of peridynamics==
The peridynamic theory is based on integral equations, in contrast with the classical theory of continuum mechanics, which is based on partial differential equations. Since partial derivatives do not exist on crack surfaces and other singularities, the classical equations of continuum mechanics cannot be applied directly when such features are present in a deformation. The integral equations of the peridynamic theory can be applied directly, because they do not require partial derivatives.
The ability to apply the same equations directly at all points in a mathematical model of a deforming structure helps the peridynamic approach avoid the need for the special techniques of fracture mechanics. For example, in peridynamics, there is no need for a separate crack growth law based on a stress intensity factor.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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