Abstract In this paper, a phase-field model is presented for the description of brittle fracture in a Reissner–Mindlin plate and shell formulation. The shell kinematics as well as the phase-field variable are described on the midsurface of the structure. Non-Uniform Rational B-Spline basis functions are used for the discretization of both the displacement/rotations and the phase-field. The spectral decomposition for the tension–compression split is applied on the total strain tensor, which varies through the thickness. Thus, the plane stress condition has to be enforced numerically. Various numerical examples are presented in order to verify the accuracy and effectiveness of the method and a detailed comparison to existing formulations is performed.

中文翻译：

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Reissner-Mindlin 板壳脆性断裂的相场模型

摘要 在本文中，提出了用于描述 Reissner-Mindlin 板壳公式中脆性断裂的相场模型。壳运动学以及相场变量在结构的中表面上进行描述。非均匀有理 B 样条基函数用于位移/旋转和相场的离散化。拉伸-压缩分裂的谱分解应用于总应变张量，其随厚度变化。因此，平面应力条件必须以数字方式强制执行。提供了各种数值示例，以验证该方法的准确性和有效性，并与现有公式进行详细比较。