This lesson covers the development of Navier solution for a finite shell, focusing on the state of art for a finite shell and the steps involved in its development. The lesson delves into the concept of generalized plane strain, the development of a code in MATLAB, and the discussion of a recent literature article. It also explores the concept of a finite shell made of composite materials, which is orthotropic in nature. The lesson further discusses the solutions for cross-ply composites and sandwich plates, the strain components, and the formulation of the shell constitutive relation. It also provides an overview of the analytical solution, the closed-form solutions, and the approximate solution. The lesson concludes with a discussion on the post-processing techniques and the representation of the coefficients.

- The state of art for a finite shell is similar to that of an infinite shell but with more detail.
- The solutions for cross-ply composites and sandwich plates are valid for orthotropic materials.
- The shell constitutive relation is developed using the basic constitutive relations.
- The analytical solution and closed-form solutions are valid for simply supported boundary conditions.
- The approximate solution can be obtained through techniques such as Ritz technique, Galerkin technique, and extended Kantorovich techniques.
- The post-processing techniques are used to find the variation of stress resultants or the stresses.

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