TY - JOUR

T1 - Efficient and robust numerical treatment of a gradient-enhanced damage model at large deformations

AU - Junker, Philipp

AU - Riesselmann, Johannes

AU - Balzani, Daniel

N1 - Funding Information: The authors Johannes Riesselmann and Daniel Balzani greatly appreciate funding by the German Science Foundation (Deutsche Forschungsgemeinschaft, DFG) as part of the Priority Program German 1748 “Reliable simulation techniques in solid mechanics. Development of non‐standard discretization methods, mechanical and mathematical analysis,” project ID BA2823/15‐1.

PY - 2022/2/17

Y1 - 2022/2/17

N2 - The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the discrete system of equations is counteracted by regularization schemes of which the gradient enhancement of the strain energy density is often used. In this contribution, we present an extension of the efficient numerical treatment, which has been proposed by Junker et al. in 2019, to materials that are subjected to large deformations. Along with the model derivation, we present a technique for element erosion in the case of severely damaged materials. Efficiency and robustness of our approach is demonstrated by two numerical examples including snapback and springback phenomena.

AB - The modeling of damage processes in materials constitutes an ill-posed mathematical problem which manifests in mesh-dependent finite element results. The loss of ellipticity of the discrete system of equations is counteracted by regularization schemes of which the gradient enhancement of the strain energy density is often used. In this contribution, we present an extension of the efficient numerical treatment, which has been proposed by Junker et al. in 2019, to materials that are subjected to large deformations. Along with the model derivation, we present a technique for element erosion in the case of severely damaged materials. Efficiency and robustness of our approach is demonstrated by two numerical examples including snapback and springback phenomena.

UR - http://www.scopus.com/inward/record.url?scp=85106163244&partnerID=8YFLogxK

U2 - 10.1002/nme.6876

DO - 10.1002/nme.6876

M3 - Article

AN - SCOPUS:85106163244

VL - 123

SP - 774

EP - 793

JO - International Journal for Numerical Methods in Engineering

JF - International Journal for Numerical Methods in Engineering

SN - 0029-5981

IS - 3

ER -