Well-defined local damage models with softening
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Classical local damage models involving softening may lead to a mesh-dependent response for component simulations as a result of the inherent localization behavior. Traditional mitigations involve adding viscosity to the model or including non-locality either via averaging or gradient augmentation. Recently, approaches based on convex relaxation were shown to be effective [1]. More precisely, such strategies provide local damage models with softening that lead to a well-defined behavior on material-point level. Moreover, existence of solutions can be shown on component scale, but uniqueness does not hold, in general. We discuss a modification which renders both the damage evolution and the component-level mechanical problem well-defined in the context of local damage models with softening. We discuss the mechanical rationale for designing this local damage model and provide computational examples demonstrating the capabilities of the novel framework. REFERENCES [1] S. Schwarz, P. Junker, and K. Hackl, Variational regularization of damage models based on the emulated RVE, Continuum Mechanics and Thermodynamics, Vol. 33, no. 1, pp. 69-95, 2021.
