TY - JOUR
ID - 71279
TI - GENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM
JO - Journal of Computational Applied Mechanics
JA - JCAMECH
LA - en
SN - 2423-6713
AU - Ike, Charles
AD - Dept of Civil Engineering, Enugu State University of Science and Technology,
Enugu State, Nigeria
Y1 - 2019
PY - 2019
VL - 50
IS - 1
SP - 174
EP - 181
KW - Mellin transform method
KW - Mellin transform inversion formula
KW - biharmonic stress compatibility equation
KW - Airy stress potential function
KW - two dimensional (2D) elasticity problem
DO - 10.22059/jcamech.2019.278288.370
N2 - 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.
UR - https://jcamech.ut.ac.ir/article_71279.html
L1 - https://jcamech.ut.ac.ir/article_71279_cafefc4f9fd02295c528f72cfbf793ba.pdf
ER -