Nonlinear-elastic finite axisymmetric deformation of flexible matrix composite membranes under internal pressure and axial force

Abstract

A model for the nonlinear-elastic finite axisymmetric deformation of cylindrical flexible matrix composite membranes under internal pressure and external axial force has been developed. The model is unique in that it combines large deformation membrane theory and large deformation theory for laminated fiber-reinforced composites. The model is therefore capable of including fiber extensibility as well as material and geometric nonlinearities that arise from large deformation and fiber reorientation. A numerical procedure is employed for solving the nonlinear model. The numerical procedure is stable, converges easily, and can be easily implemented on computers. Some model predictions are presented in the paper with an emphasis on the behavior of one type of membrane well-suited for contraction under a high tensile axial force. Results obtained from experiments show good agreement with the model predictions. Flexible matrix composite membranes may be applied to the design of pressure controlled robotic actuators and morphing structures.