On the Computational Analysis of Damage of Quasi-Brittle Materials using Integral-Type Nonlocal Models

Abstract: Reliable prediction of quasi-brittle behaviour of a large class of advanced building materials and structures under mechanical loads needs the implementation of some integral-type nonlocal constitutive strain-stress relation. This paper pays attention namely to the Eringen model for the generation of the multiplicative damage factor, to the related quasi-static analysis, to the existence of a weak solution of the corresponding boundary and initial value problem with a parabolic system of partial differential equation and to the convergence of an algorithm based on 3 types of Rothe sequences.