2022
DOI: 10.1155/2022/2148947
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Analytical Solution for Elastic Analysis around an Ellipse with Displacement-Controlled Boundary

Abstract: This paper presents novel analytical solutions for the analysis of an elliptical cavity within an infinite plane under plane strain conditions, considering typical displacement-controlled boundaries at the inner cavity and biaxial stresses at infinity. The problem is investigated by the plane theory of elasticity using Muskhelishvili’s complex variable method. The complex displacement boundary conditions are represented using the conformal mapping technique and Fourier series, and stress functions are evaluate… Show more

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