Stress concentration caused by holes can be investigated by numerical and analytical methods. Current analytical methods can only solve two-dimensional problems. This paper proposes an analytical study on a three-dimensional stress concentration problem that involves a rectangular cuboid hole in a three-dimensional elastic body under tension loading. Based on the finite element method and U-transformation method, the problem can be expressed as a set of uncoupled equations with cyclic periodicity. Displacements of the three-dimensional elastic body are derived in analytical form to study stress distribution in it. Numerical simulation is conducted using ABAQUS to verify the analytical solution. Stress concentration factors in cases of uniaxial, biaxial, and triaxial tensions and the effect of the side ratio of the hole on them are discussed.
Archive of Applied Mechanics – Springer Journals
Published: May 29, 2018
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