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Ike, Charles. (1398). GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM. , 50(1), 174-181. doi: 10.22059/jcamech.2019.278288.370
Charles Ike. "GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM". , 50, 1, 1398, 174-181. doi: 10.22059/jcamech.2019.278288.370
Ike, Charles. (1398). 'GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM', , 50(1), pp. 174-181. doi: 10.22059/jcamech.2019.278288.370
Ike, Charles. GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM. , 1398; 50(1): 174-181. doi: 10.22059/jcamech.2019.278288.370

GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM

Journal of Computational Applied Mechanics
مقاله 19، دوره 50، شماره 1، شهریور 2019، صفحه 174-181    اصل مقاله (508.51 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22059/jcamech.2019.278288.370
نویسنده
Charles Ike*
Dept of Civil Engineering, Enugu State University of Science and Technology, Enugu State, Nigeria
چکیده
Abstract
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.
کلیدواژه‌ها
Mellin transform method؛ Mellin transform inversion formula؛ biharmonic stress compatibility equation؛ Airy stress potential function؛ two dimensional (2D) elasticity problem
مراجع
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