This work deals w ith the development and extension of higher-order models for delaminated doubly curved composite shells with constant radii of curvatures. The mechanical model is based on the method of four equivalent single layers and the system of exact kinematic conditions. A remarkable addition of this work compared to some previous ones, is a modified and improved continuity condition between the delaminated and undelaminated parts of the shell. Using the principle of virtual work, the equilibrium equations of the shell systems are brought to the stage and solved by using the classical Lévy plate formulation under simply supported conditions. Four different scenarios of elliptic and hyperbolic delaminated shells are investigated providing the solutions for the mechanical fields as well as for the J-integral. The analytical results are compared to 3D finite element calculations, and excellent agreement was obtained for the displacement components and normal stresses. On the contrary, it was found that the transverse shear stresses are captured quite differently by the proposed method and the finite element models. Although the role of shear stresses should not be underrated, they seem to be marginal because the distributions of the J-integral components are in very good agreement with the numerically determined energy release rates.

这项工作涉及具有恒定曲率半径的分层双曲复合壳的高阶模型的开发和扩展。力学模型基于四个等效单层的方法和精确的运动学条件系统。与以前的一些工作相比，这项工作的显着增加是壳体的分层和非分层部分之间的改进和改进的连续性条件。运用虚拟功原理，将壳系统的平衡方程式带到舞台上，并通过在简单的支撑条件下使用经典的Lévy板公式来求解。研究了椭圆和双曲线分层壳的四种不同情况，为机械场以及J积分提供了解决方案。将分析结果与3D有限元计算进行了比较，并获得了位移分量和法向应力的极佳一致性。相反，发现所提出的方法和有限元模型对横向切应力的捕获有很大不同。尽管不应低估剪应力的作用，但它们似乎是微不足道的，因为J积分分量的分布与数值确定的能量释放速率非常吻合。