An Analytical Study on Stress Concentration due to a Cuboid Hole in Structures

This paper presents an analytical study on the stress concentration problem due to a cuboid hole in structures. Base on the theory of elasticity and the finite element method, the governing equation with cyclic periodicities in three directions is established. By using the U-transformation technique, the nodal displacement solutions are given out in analytical form. Once the nodal displacements of the cuboid hole are derived, it is easy to discus the stress distribution around the hole. As an example, the paper discusses the problem that a cube hole in structure which is under x-direction tension loading, and obtains the stress concentration factor is 1.90. The research process can be extended to study the stress concentration problems under other loading conditions