Effects of Void Growth and Nucleation on Plastic Deformation of Plates With Fluid-Structure Interaction

Abstract

A plate-bending formulation was developed from a three-dimensional solid. The plate element includes both transverse shear and normal deformations and the transverse gradient load (TGL) which is associated with the transverse normal deformation. The element utilizes reduced integration along the in-plane axes and full integration along the transverse axis. The formulation incorporates Gurson’s constitutive model for void growth and plastic deformation. An algorithm for stable solutions of the nonlinear constitutive equations is also discussed. Hourglass mode control is provided by adding a small fraction of internal force determined through full integration along the in-plane axes and reduced integration along the transverse axis. Numerical examples are presented for plastic deformation of a plate with fluid-structure interaction to examine the effects of void growth and nucleation in plastic deformation.