University of Tehran Journal of Computational Applied Mechanics 2423-6713 50 1 2019 06 01 GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM 174 181 71279 10.22059/jcamech.2019.278288.370 EN Charles Ike Dept of Civil Engineering, Enugu State University of Science and Technology, Enugu State, Nigeria 0000-0001-6952-0993 Journal Article 2019 03 19 Abstract<br /> In this work, the Mellin transform method was used to obtain solutions for the stress field components in two dimensional (2D) elasticity problems in terms of plane polar coordinates. the Mellin transformation was applied to the biharmonic stress compatibility equation expressed in terms of the Airy stress potential function, and the boundary value problem transformed to an algebraic  problem which was solved to obtain the Mellin transformed Airy stress potential function. The Mellin transform was similarly used to obtain the Mellin transformed stress field components. The use of Mellin transform inversion formula yielded the solutions to the 2D elasticity problem in the physical space domain variables. Specific illustration was considered of the solution by using the Mellin transform method for the Flamant problem and the Mellin transform solutions found to agree with solutions from the literature. https://jcamech.ut.ac.ir/article_71279_cafefc4f9fd02295c528f72cfbf793ba.pdf