A comparison of micromorphic gradient‐extensions for anisotropic damage

PAMM, vol. 24

Abstract

Abstract The modeling of inelastic phenomena with tensor‐valued internal variables requires a regularization to counteract mesh dependence. Here, we consider the regularization of anisotropic damage at finite strains and seek for an efficient formulation based on a reduced number of nonlocal degrees of freedom. We, thus, equip the brittle version of an anisotropic model with different gradient‐extensions in the micromorphic framework using a full and a reduced regularization of the damage tensor. The models are compared in the structural simulation of an asymmetrically notched specimen with a perforated shear band section. High agreement is observed between the full and the reduced regularization with two nonlocal degrees of freedom. Furthermore, we present a novel study of the evolution of the reduced micromorphic field variables.

Authors 4

1. Tim van der Velden corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

2. Tim Brepols Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

3. Stefanie Reese Aachen Institute of Applied Mechanics

   University of Siegen · RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany

   University of Siegen Siegen Germany

4. Hagen Holthusen Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics RWTH Aachen University Aachen Germany