#### Integral nonlocal formulation

One possible regularization technique is based on the integral definition of nonlocal cumulated plastic strain

 (48)

The nonlocal weight function is usually defined as

 (49)

where

 (50)

is a nonnegative function, for monotonically decreasing with increasing distance , and denotes the domain occupied by the investigated material body. The key idea is that the damage evolution at a certain point depends not only on the cumulated plastic strain at that point, but also on points at distances smaller than the interaction radius , considered as a new material parameter.

Borek Patzak
2018-01-02