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Session Chair: Gerhard Starke, Universität Duisburg-Essen
Location:Auditorium Wolfsburg
Presentations
A Simple and Efficient Lagrange Multiplier Based Mixed Finite Element for Gradient Damage
Johannes Riesselmann, Daniel Balzani
Ruhr University Bochum, Germany
Without regularization, damage formulations are challenged with localization, mesh-dependency and the loss of ellipticity already at moderate damage levels. Through gradient enhancement, the damage solution field of corresponding formulations posesses a higher regularity leading to mesh-independent solutions and an increased numerical robustness. This contribution presents a corresponding Lagrange multiplier based mixed finite element formulation for finite strains. A suitable FE-interpolation scheme allowing for computational cost reduction through static condensation is introduced. In numerical tests mesh-independent solutions, robustness of the solution procedure for states of severe damage and under cyclic loading conditions are presented. Furthermore, an improved convergence behavior compared to the penalty approach is shown.
