In the present work, the doubly curved spherical and cylindrical laminated composite shells are modelled and analysed in the framework of non-polynomial axiomatic approach. The inverse hyperbolic shear deformation theory originally developed for the laminated composite plates is extended to model the deformation characteristics of laminated composite shells. The mathematical formulation is developed under the assumption of linear structural kinematics and linear-elastic-orthotropic material behaviour. The governing equations of the model are obtained using the principle of virtual work and solved in exact manner for simply supported boundary conditions following the Navier solution methodology. The bending response of thick and thin spherical and cylindrical shells subjected to different types of transverse loads such as point load, uniform load and sinusoidal load is analysed in the framework of developed methodology. The obtained results due to inverse hyperbolic shear deformation theory are compared with other shell theories and on the basis of this comparison, the validity and applicability of the inverse hyperbolic shear deformation theory for doubly curved spherical and cylindrical shells is ensured.

在目前的工作中，双曲面球面和圆柱层合复合壳在非多项式公理方法的框架内进行建模和分析。最初为复合材料层合板开发的反双曲剪切变形理论被扩展到对复合材料层合壳的变形特性建模。数学公式是在线性结构运动学和线性弹性正交各向异性材料行为的假设下开发的。该模型的控制方程是使用虚功原理获得的，并按照 Navier 求解方法对简支边界条件进行精确求解。厚壁和薄壁球壳和圆柱壳在不同类型的横向载荷（如点载荷、均布载荷和正弦载荷在开发的方法框架内进行分析。将反双曲剪切变形理论得到的结果与其他壳理论进行比较，在此比较的基础上，保证了反双曲剪切变形理论对双曲球壳和圆柱壳的有效性和适用性。