CONSIDERAÇÃO DE FIBRAS NA ANÁLISE NÃO LINEAR FÍSICA DE PLACAS LAMINADAS REFORÇADAS DESENVOLVENDO GRANDES DESLOCAMENTOS
Maria do Socorro Martins Sampaio1; Rodrigo Ribeiro Paccola1; Humberto Breves Coda1
1 Universidade de São Paulo
doi:10.20906/CPS/CILAMCE2015-0029
Resumo
Short fibers are randomly spread in an elastoplastic laminated matrix. Triangular laminated plate finite elements with ten nodes and seven degrees of freedom per node are used to discretize the laminated matrix. The elastoplastic constitutive model adopted to simulate the nonlinear physical behavior of the matrix follows a multi-linear non associative flow rule and a general failure surface is respected to consider orthotropic material. Any order one-dimensional finite elements with three degrees of freedom per node are used to discretize fibers and stiffeners. The geometrical nonlinear strategy is total Lagrangian and the Saint-Venant-Kirchhoff Constitutive Law is adopted to model the material. Kinematics relationships allow place the fibers nodes in any layer of the laminated medium without necessity of match fiber nodes with matrix nodes in the discretization of the problem. The Principle of Minimum Total Potential Energy and the Newton-Raphson iterative procedure are employed to solve the nonlinear equilibrium problem. The proposed numerical example shows the potential of the proposed formulation in the analysis of fiber-reinforced steel-concrete composite structures.
Palavras-chave: Fiber-reinforced laminated plates; Geometrically nonlinear analysis; Physical nonlinear analysis; Finite Element Method