Localization and dissipation in a nonlocal strain softening bar are in
vestigated analytically. A nonlocal elastic-plastic model consistent w
ith thermodynamic theory is proposed. The flow rules of nonlocal assoc
iated plasticity are derived by invoking a generalized form of the pri
nciple of maximum dissipation in classical plasticity. Analytical solu
tions are derived for a linearly strain softening material. The relati
onship between nonlocal characteristic length and width of localized z
one is elucidated. A comparison with results obtained from correspondi
ng gradient approach is presented. (C) 1997 Elsevier Science Ltd.