Paper number 724

THREE-DIMENSIONAL VARIATIONAL ANALYSIS OF IMPACT CONTACT DEFORMATION OF THICK COMPOSITE PLATES

A. E. Bogdanovich and S. P. Yushanov

3TEX, Inc., 1017 Main Campus Drive, Suite 3200, Raleigh, NC 27606, U.S.A.

Summary

Three-dimensional variational dynamic contact analysis approach is developed for predicting deformation of composite plates exposed to a rigid body impact. The Hamilton variational principle is applied using Bernstein basis functions of an arbitrary degree for the displacement approximation in all coordinate directions. Lagrange multiplier technique is employed in formulation of the variational dynamic contact problem. Input of the analysis uses only mass, velocity and nose shape of the projectile, without any assumed contact law. One specific application of the approach is illustrated on the example of thick bi-material composite rectangular bar exposed to a longitudinal rigid body impact. Numerical results illustrate time variations of the longitudinal displacement and strain, impact contact pressure, total energy of the system, and the total energy components. It is shown that, at a given incipient impact energy, the relative contribution of each energy component is highly dependent on the projectile mass and velocity.

Keywords

impact, composite plates, variational analysis, 3-D elasticity, contact problems.