Abstract
The present contribution is concerned with the extension of a recently presented non-local damage analysis of shells to the geometrically non-linear regime. For this purpose, a gradient-extended two-surface damage-plasticity model for finite strains is incorporated into a low-order solid-shell finite element formulation for large deformations which is based on reduced integration with hourglass stabilization. Due to a specific combination of the assumed natural strain (ANS) and the enhanced assumed strain (EAS) method, the most relevant locking pathologies which stem from the linear interpolation of the displacement field are eliminated. Furthermore, an additional micromorphic nodal degree of freedom which comes from the gradient extension is considered. A polynomial approximation of the kinematic as well as the constitutively dependent quantities within the weak forms provides a suitable hourglass stabilization which is computationally highly efficient, since the corresponding element residual vectors and stiffness matrices can be determined analytically. Three numerical examples of different elastic as well as elasto-plastic plate and shell configurations, reveal the ability of the present framework to efficiently and accurately predict the damage processes within both geometrically non-linear thin and thick-walled structures.
Published Version
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