The refined theory of shells is constructed by reducing three-dimensional problems of the theory of elasticity to two-dimensional problems. I. Vekua obtained the equations of shallow shells. This means that the interior geometry of the shell does not vary in thickness. This method for nonshallow shells in the case of geometrical and physical nonlinear theory was generalized by T. Meunargia.
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机译：通过将弹性理论的三维问题简化为二维问题，构建了精炼的壳理论。I. Vekua 得到了浅壳的方程。这意味着外壳的内部几何形状在厚度上没有变化。在几何和物理非线性理论的情况下，这种非浅壳的方法被 T. Meunargia 推广。
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