Gradient-extended damage modelling for polymeric materials at finite strains: Rate-dependent damage evolution combined with viscoelasticity

European Journal of Mechanics - A/Solids, vol. 103, pp. 105121

Abstract

While the strong rate-dependent effects of polymeric materials in the elastic regime are well studied, the time-dependent effects that arise in the inelastic damage regime are still difficult to model and are therefore the subject of investigation. In this work, we propose a simple but flexible formulation for the description of rate-dependent damage combined with viscoelasticity at finite strains. This model is based on a finite viscoelastic material formulation combined with a Perzyna-type approach to describe the damage evolution equation. With this formulation we are able to describe both damage due to creep and relaxation of the polymer matrix in both a qualitative and quantitative manner. Besides the main aspects of thermodynamic consistency, we describe the numerical implementation into finite elements and present numerical examples to demonstrate the capabilities of the proposed model. At last, we compare the model with experimental data and show the good predictive capabilities of this newly developed material model.

Authors 10

1. Lukas Lamm corresponding Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

2. Jan Mirco Pfeifer Aachen Institute of Applied Mechanics

   University of Wuppertal · RWTH Aachen University

   Affiliation as printed

   Civil Engineering Mechanics, University of Wuppertal, Pauluskirchstr. 7, 42285 Wuppertal, Germany

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

3. Hagen Holthusen Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

4. Benjamin Schaaf Aachen Institute of Steel Construction

   RWTH Aachen University

   Affiliation as printed

   Institute of Steel Construction, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

5. Robert Seewald Aachen Welding and Joining Institute

   RWTH Aachen University

   Affiliation as printed

   Welding and Joining Institute, RWTH Aachen University, Pontstr. 49, 52062 Aachen, Germany

6. Alexander Schiebahn Aachen Welding and Joining Institute

   RWTH Aachen University

   Affiliation as printed

   Welding and Joining Institute, RWTH Aachen University, Pontstr. 49, 52062 Aachen, Germany

7. Tim Brepols Aachen Institute of Applied Mechanics

   RWTH Aachen University

   Affiliation as printed

   Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

8. Markus Feldmann Aachen Institute of Steel Construction

   RWTH Aachen University

   Affiliation as printed

   Institute of Steel Construction, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany

9. Uwe Reisgen Aachen Welding and Joining Institute

   RWTH Aachen University

   Affiliation as printed

   Welding and Joining Institute, RWTH Aachen University, Pontstr. 49, 52062 Aachen, Germany

10. Stefanie Reese Aachen Institute of Applied Mechanics

    RWTH Aachen University

    Affiliation as printed

    Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, 52074 Aachen, Germany