Consistent tangent operators for implicit non-local models of integral type
Consistent linearisation of non-local implicit models of the integral type is discussed. Closed-form analytical expressions are derived for a J2 plasticity and a Lemaitre-based non-local damage models. The structure of the consistent tangent operators is discussed and the corresponding assembly procedure is described. Numerical examples demonstrate that the quadratic rate of convergence of the Newton-Raphson method is successfully achieved.
consistent tangent operator non-local formulation newtonraphson method