Abstract
AbstractFor the case of large strains, the paper presents an exact analytical solution to the problem of the stress-strain state of a composite slab obtained by joining two pre-deformed layers. Each layer is obtained by straightening a curved panel originally shaped as a sector of a hollow circular cylinder. The cylinders are made of incompressible nonlinear elastic material—the Treloar (neo-Hookean) material. The axes of the cylinders are orthogonal before deformation. After joining, the slab is subjected to biaxial tension or compression in its plane. The problem is formulated on the basis of the theory of superimposed large deformations. An exact analytical solution to the problem is obtained. Nonlinear effects are investigated. The obtained solution can be used to verify the software designed for the numerical solution of problems on the stress-strain state of structural elements made by junction of pre-deformed parts.
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