A Selective Reduced Integration 8-Node Hexahedral Element by Assumed Strain for Coining Simulation

A selective reduced integration 8-node hexahedral element for coining simulation is developed in this paper. The element is free of volume locking by assumed strain method. The standard velocity gradient matrix is derived in which the shear items are ignored to avoid shear locking. Hourglass modes are successfully suppressed without user-input parameters. The element is successfully employed in the coining simulation package - COINFORM. Numerical tests and experiments of a typical coin are carried out to show the good performances of the element.

Vibration Analysis of Reissner-Mindlin Plates Using Quadrilateral Heterosis Element

The free vibration of the eigenfrequencies and models of a rectangular p1ate with simply supported comp1eted clamped supported were calculated by finite element method using the quadrilateral heterosis element. Firstly, the basic Governing equations of Reissner-Mindlin plate for elastodynamics was introduced, And then the finite element model of the plate vibration was established, nine nodes heterosis element was adopted, the stiffness matrix and mass matrix were obtained. Selective-reduced integration scheme was carried out to eliminatethe curvature thickness and the transverse shear locking phenomena in the plate bending. Numerical experiments of plate free vibration using heterosis element with quadrilateral linear shape functions for the displacements was studied, eight models ware obtained which were closely to the closed solutions, the results show that the method successfully yields a stabilized element.

PARTIAL SELECTIVE REDUCED INTEGRATION SCHEMES AND KINEMATICALLY LINKED INTERPOLATIONS FOR PLATE BENDING PROBLEMS

Some finite elements for the approximation to the solution of the Reissner–Mindlin plate problem are presented. All of them take advantage of a stabilization technique recently proposed by Arnold and Brezzi. Moreover, a kinematically linked interpolation approach has been used to improve the convergence features. A general theoretical analysis of stability and convergence is also provided, together with extensive numerical tests.