General Solutions for Axisymmetric Elasticity Problems of Elastic Half Space using Hankel Transform Method
نویسندگان
چکیده
منابع مشابه
Elzaki transform method for finding solutions to two-dimensional elasticity problems in polar coordinates formulated using Airy stress functions
In this paper, the Elzaki transform method is used for solving two-dimensional (2D) elasticity problems in plane polar coordinates. Airy stress function was used to express the stress compatibility equation as a biharmonic equation. Elzaki transform was applied with respect to the radial coordinate to a modified form of the stress compatibility equation, and the biharmonic equation simplified t...
متن کاملGENERAL SOLUTION OF ELASTICITY PROBLEMS IN TWO DIMENSIONAL POLAR COORDINATES USING MELLIN TRANSFORM
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 ...
متن کاملThe solution of elasticity problems for the half-space by the method of Green and Collins
The paper reviews the method of complex potential functions developed by Green and Collins as applied to axisymmetric mixed boundary value problems in elasticity for the half-space. It is shown how the method can be applied to problems in several coupled potential functions such as adhesive and frictional contact problems, to problems involving annular regions and to problems in thermoelasticit...
متن کاملInverse Laplace transform method for multiple solutions of the fractional Sturm-Liouville problems
In this paper, inverse Laplace transform method is applied to analytical solution of the fractional Sturm-Liouville problems. The method introduces a powerful tool for solving the eigenvalues of the fractional Sturm-Liouville problems. The results how that the simplicity and efficiency of this method.
متن کاملThe method of fundamental solutions for axisymmetric problems
In this paper, we describe how the Method of Fundamental Solutions (MFS) can be applied to various axisymmetric boundary value problems. In all cases examined, the fundamental solutions and their derivatives may be expressed in terms of complete elliptic integrals, which can be easily evaluated using widely available library software. The method is applied to two test problems from potential th...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Engineering and Technology
سال: 2018
ISSN: 2319-8613,0975-4024
DOI: 10.21817/ijet/2018/v10i2/181002112