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.

目前的贡献是关于将最近提出的壳的非局部损伤分析扩展到几何非线性区域。为此，将有限应变的梯度扩展双表面损伤-塑性模型结合到大变形的低阶实体-壳有限元公式中，该公式基于与沙漏稳定的减少集成。由于假定自然应变 (ANS) 和增强假定应变 (EAS) 方法的特定组合，消除了源于位移场线性插值的最相关锁定病理。此外，还考虑了来自梯度扩展的额外微形态节点自由度。运动学的多项式近似以及弱形式中的本构依赖量提供了合适的沙漏稳定性，其计算效率很高，因为可以通过分析确定相应的元素残差向量和刚度矩阵。三个不同弹性和弹塑性板和壳配置的数值例子揭示了本框架有效和准确预测几何非线性薄壁和厚壁结构内损坏过程的能力。