Analytical Solutions for the Oblique Compression Behaviors of Two Elastic Hollow Cylinders

Abstract Bundled elastic hollow cylinders are one of the most widely adopted configurations in biomaterials and architected materials. A fundamental problem in the behavior of the bundled elastic hollow cylinders is that of the oblique compression of two hollow cylinders. In this paper, we develop the analytical solutions by decoupling this problem into normal and tangential behaviors. The normal components present the Hertzian contacts, and the similar formulas corresponding to shear are derived based on the considerations of incremental displacement changes. Then, we introduce the methods to determine the unknown coefficients and to improve the accuracy. The numerical studies demonstrate the feasibility of our method, and the parametric analysis clarifies the effects of the material properties, the geometric parameters, and the oblique angle on the contact responses. Finally, we indicate how this method can be applied to more general practice applications.