Paper number 779

A CUBIC BOUNDARY ELEMENT FOR TWO-DIMENSIONAL COMPOSITE PLATES CONTAINING HOLES

Chyanbin Hwu and T. L. Sun

Institute of Aeronautics and Astronautics
National Chung Kung University
Tainan, 70101, Taiwan, R.O.C

Summary

The Green's function for the two-dimensional composite plates containing an elliptical hole subjected to arbitrary loading around the hole surface is obtained by applying the Stroh's formalism for anisotropic elasticity. By treating this Green's function as a fundamental solution for the boundary integral equation, a boundary element for the loaded-hole problem is developed in this paper. Moreover, to ensure the slope continuity between any two connected element, a cubic element using only the functional values of the nodal points is also developed. Some numerical examples such as cylindrical shell, crack and pin-loaded problems are studied for the purpose of verification and illustration. The results are satisfactory in comparison with other known solutions.

Keywords

boundary element method, composite structures, anisotropy, loaded hole, Green's function, structural shape optimization.