A NEUMANN BOUNDARY VALUE PROBLEM FOR THE WARPING FUNCTION OF A BIMATERIAL ELASTIC CYLINDER UNDER TORSION
Keywords:
Torsion, Torsional Rigidity, Angle Of Twist, Torque, Warping Function, Conformal Mapping, Mellin Integral Transform, material constant.Abstract
This study investigates the interfacial behavior of a bimaterial elastic cylinder that is perfectly bonded along the interface subjected to torsion, focusing on how the application of torque influences the bonded interface, focusing on the warping effect on the elastic material. Employing conformal mapping in conjunction with the Melling integral transform, we derive a series solution for the warping function corresponding to each material which is a function of the material constant ???? defined by ???? = ????1????1 − ????2????2 ????1????1 + ????2????2 which naturally entered the analysis. This constant vanishes as ????1 = ????2 and????1 = ????2, then the material becomes homogenous. The analysis reveals that the bimaterial warped along the interface, but remains bonded as long as the angle of twist, torsional rigidity and the applied torque remains finte.
