Journal of Theoretical
and Applied Mechanics

22, 1-2, pp. 235-253, Warsaw 1984

Przyrostowe równania nieliniowej teorii płyt z naprężeniami i ugięciami początkowymi w zakresie sprężysto-plastycznym materiału

Marian Kmiecik

Incremental approach is necessary for effective solution of nonlinear problems of structural mechanics. The incremental equations of finite deflection theory of plates have been derived on the base of variational formulation of equilibrium equations taking into account Prandtl-Reuss flow theory. Initial deflections and stresses have also been into account. In this way an incremental generalization on elastic-plastic range of von Karman nonlinear theory of plates has been derived. Finite element solution of the generalization has been demonstrated.