Relaςões Constitutivas não Lineares na Determinaςão das Configuraςões Planas de Equilíbrio de um Anel Circular Extensível

Abstract

Considering non linear constitutive relations and the extensibility hypothesis, the plane post-buckling configurat ions of a thin circular ring subjected to external pressure are determined. The mathematical model is ohtained from the Hamilton's principle and describes the ring as a plane regular curve: the configurations and the internal forces are functions of only one spacial parameter. A non linear system of seven differential equations, coupled to periodicity conditions, is obtained, and is solved by the method of the Simple Shooting. The results are compared with those
obtained by considering linear constitutive equations.