Analytical solution for a reinforcement layer bonded to an elliptic hole under a remote uniform load

作者：Chao C K^*; Lu L M; Chen C K; Chen F M

来源：International Journal of Solids and Structures, 2009, 46(14-15): 2959-2965.

DOI：10.1016/j.ijsolstr.2009.03.025

• Conformal mapping
• Analytical continuation
• Alternating technique
• A reinforced elliptic hole

A general solution to a reinforced elliptic hole embedded in an infinite matrix subjected to a remote uniform load is provided in this paper. Investigations on the present elasticity problem are rather tedious due to the presence of material inhomogeneities and complex geometric configurations. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with the alternating technique, the general expressions of the displacement and stresses in a reinforcement layer and the matrix are derived explicitly in a series form. Some numerical results are provided to investigate the effects of the material combinations and geometric configurations on the interfacial stresses. The results show that there exists an optimum design of a reinforcement layer such that both the magnitude of stress concentration and the interfacial stresses could be fairly reduced.

• 出版日期2009-7
• 单位南开大学