Abstract
A three-dimensional boundary-value problem of physically nonlinear elastic theory is solved for a multilayered plate. The nonlinear relationships between the stresses and small strains are assumed to be of the Kauderer form. The solution under given conditions is constructed as series in powers of a physical dimensionless small parameter. The physically nonlinear boundary-value problem is reduced to a recurrent sequence of linear boundary-value problems. The effect of the physical nonlinearity of the material on the stress–strain state of the plate is studied.
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