Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips

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Lin Yi-han. Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips[J]. Applied Mathematics and Mechanics, 1993, 14(11): 1009-1016.

Citation:

Lin Yi-han. Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips[J]. Applied Mathematics and Mechanics, 1993, 14(11): 1009-1016.

Citation:

Lin Yi-han. Elastostatic Solutions for Semi-Infinite Orthotropic Cantilevered Strips[J]. Applied Mathematics and Mechanics, 1993, 14(11): 1009-1016.

Abstract

The elastostatic solutions of semi-infinite orthotropic cantilevered strips with traction free edges and loading at infinity are governed by the differential equation Φ_1yyyy+(2+δ₀)Φ_1yyxx+Φ_1zzzz=0 with δ₀ >-4 Based on the work of [10] for δ₀>0 case,.this paper completes the case for δ₀=0 isotropic materials and the case 0>δ₀>-4 for orthotropic materials. The solutions of the above problems have important application in the properly formulated boundary conditions of plate theories for prescribed displacement edge data.

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