One possible regularization technique is based on the integral definition of nonlocal
cumulated plastic strain
The nonlocal weight function is usually defined as
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.