Abstract
A method for analyzing the stress–strain state of nonlinear elastic orthotropic thin shells with reinforced holes and shells of discretely variable thickness is developed. The reference surface is not necessarily the midsurface. The constitutive equations are derived using Lomakin’s theory of anisotropic plasticity. The methods of successive approximations and variational differences are used. The Kirchhoff–Love hypotheses are implemented using Lagrange multipliers. The method allows analyzing the stress–strain state of shells with arbitrarily varying thickness and ribbed shells. The numerical results are presented in the form of tables and analyzed
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