Mathematical modeling of physically nonlinear 3D beams and plates made of multimodulus materials

Abstract In this work, mathematical models of physically nonlinear plates and beams made from multimodulus materials are constructed. Our considerations based on the 3D deformation theory plasticity, von Mises plasticity criterion method variable parameters elasticity developed by Birger. The proposed computational algorithm enable for solving problems three types boundary conditions, edge conditions arbitrary lateral load distribution. problem is solved finite element (FEM), its convergence reliability results investigated. Based numerical experiments, influence characteristics material beam plate their stress–strain states under action transverse loads illustrated discussed.