Calculation of layered shells by the pseudogeometrical-nonlinearity method (Q2714057)

The problem of determining the stress-strain state of a multilayered shell is solved. It is assumed that the layer material is nonlinearly elastic and the strain-displacement relations are nonlinear. The displacements are expanded in terms of the functions of transverse coordinate that contain unknown parameters. The governing equations are derived with the use of the Lagrange variational principle. A technique for minimizing the energy functional is proposed. An example of a three-layered beam is considered, calculation results are compared with the exact solution, and the specific features of the approach proposed are analyzed.