In this work, we have developed a state‐based peridynamics theory for nonlinear Reissener‐Mindlin shells to model and predict large deformation of shell structures with thick wall. The nonlocal peridynamic theory of solids offers an integral formulation that is an alternative to traditional local continuum mechanics models based on partial differential equations. This formulation is applicable for solving the material failure problems involved in discontinuous displacement fields. The governing equations of the state‐based peridynamic shell theory are derived based on the nonlocal balance laws by adopting the kinematic assumption of the Reissner and Mindlin plate and shell theories. In the numerical calculations, the stress points are employed to ensure the numerical stability. Several numerical examples are conducted to validate the nonlocal structure mechanics model and to verify the accuracy as well as the convergence of the proposed shell theory.

中文翻译：

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蠕动Reissner-Mindlin壳理论

在这项工作中，我们为非线性Reissener-Mindlin壳体开发了一种基于状态的绕动力学理论，以建模和预测厚壁壳体结构的大变形。固体的非局部绕动力学理论提供了一种积分公式，它是基于偏微分方程的传统局部连续力学模型的替代方案。该公式适用于解决不连续位移场中涉及的材料破坏问题。基于非局部平衡定律，通过采用Reissner和Mindlin板壳理论的运动学假设，推导了基于状态的蠕动壳理论的控制方程。在数值计算中，应力点被用来确保数值稳定性。