Abstract
Physically nonlinear boundary-value problems for an orthotropic cylindrical shell with a rectangular hole under static loads are formulated. The system of governing equations is derived using the Kirchhoff–Love theory of thin shells and the deformation theory of anisotropic plasticity. To solve this class of nonlinear problems, a numerical technique based on Newton’s, additional-stress, and finite-element methods is developed. The stress concentration at a rectangular hole in an orthotropic cylindrical shell is studied taking into account the real properties of the material within the framework of the nonlinear theory of elasticity.
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