The nonlocal weight function is usually defined as

(49) |

where

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.

2018-01-02