On the Influence of Transversal Isotropy on the Exact Solution of a Problem of Imposing Finite Deformations in a Composite Nonlinear Elastic Slab with Prestressed Layersстатья
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Дата последнего поиска статьи во внешних источниках: 15 февраля 2024 г.
Аннотация:The paper presents a mathematical statement and obtains an exact analytical solution to the problem of the theory of finite deformations imposition on the equilibrium of a composite plate made by joining cylindrical layers of nonlinear elastic incompressible transversally isotropic materials. Initially unstressed layers go through two stages of deformation. The first stage corresponds to straightening and joining the layers. The second stage corresponds to the stretching of the formed single plate. Expressions for the stresses in the slab in the final state are obtained and restrictions on the directions of transversal isotropy are revealed, under which the exact analytical solution of the problem can be obtained.