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muskhelishvili
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A direct approach to determine the potential function of a contact problem between two elastically similar materials
, Article Proceedings of the Institution of Mechanical Engineers, Part J: Journal of Engineering Tribology ; Vol. 228, issue. 3 , 2014 , p. 303-311 ; Adibnazari, S ; Sharif University of Technology
Abstract
In this paper, a simple approach is presented to determine the Muskhelishvili potential function in a generic quasi-static contact problem between two elastically similar half planes. As an example, this approach is applied to the symmetric indentation of a flat surface by a bi-quadratic punch to obtain the interior elastic stress field of the indented lower half plane
A simple relation in elastic contact problems
, Article Tribology International ; Volume 41, Issue 5 , 2008 , Pages 341-347 ; 0301679X (ISSN) ; Sharafbafi, F ; Sharif University of Technology
2008
Abstract
In this paper, a new relation is introduced that simplifies the determination of the Muskhelishvili's potential function in plane contact problems. The relation is Φ (z) = 1 / 2 [p (z) - i q (z)], which is correct for all uncoupled contact problems. The new relation is proved in a mathematical way and utilized to obtain the potential function in several contact problems. A complete agreement has been observed between our results and the potential functions that have been obtained from complicated methods in the past. Utilization of the new relation simplifies the solution of contact problems and analytical calculation of the stress and displacement fields, which may lead to the design of...
Investigation of Fretting Fatigue Problem between a Tilted Wedge and a Half-Plane using Analytical and Numercial Methods
, Ph.D. Dissertation Sharif University of Technology ; Adib Nazari, Saeed (Supervisor)
Abstract
Mode I and II stress intensity factors are derived for an inclined crack breaking the surface of a half-plane which is subjected to an un-symmetrical singular contact loading due to the contact of a tilted wedge with the half-plane. The method used is that of replacing the crack by a continuous distribution of edge dislocations and assume the crack to be traction-free over its entire length. A traction free crack is achieved by cancelling the tractions along the crack site that would be present if the half-plane was un-cracked. The stress distribution for an elastic uncracked half-plane subject to a tilted wedge shaped indenter is derived analytically using the Muskhelishvili’s potential...
Determination of potential function in contact problems
, Article 8th International Conference on Computer Methods and Experimental Measurements for Surface and Contact Mechanics, CONTACT/SURFACE 2007, 16 May 2007 through 18 May 2007 ; Volume 55 , 2007 , Pages 227-236 ; 17433533 (ISSN); 9781845640736 (ISBN) ; Adibnazari, S ; Sharif University of Technology
2007
Abstract
In this paper, a relation is introduced that simplifies the determination of the Muskhelishvilis potential function in plane contact problems. The relation is (z)=1/2[p(z)iq(z)], which is correct for all uncoupled-elastic contact problems. This relation is proved in a mathematical way and utilized to obtain the potential function in several contact problems. A complete agreement has been observed between our results and the potential functions that have been obtained from complicated methods in the past. Utilization of the relation simplifies the solution of contact problems and analytical calculation of the stress and displacement fields, which is helpful in the analytical studies of...
Analytical Solution for Partial Slip Behavior of Multiple Elastic Contacts of Similar Materials
, Ph.D. Dissertation Sharif University of Technology ; Adibnazari, Saeed (Supervisor)
Abstract
In the present study, an analytical procedure has been presented to analyze a generic two-dimensional frictional multiple contact problem between two isotropic, homogeneous and elastically similar half planes, under the constant normal (including applied moments) and oscillatory tangential loading, with partial slip behavior. This procedure is based on the classical singular integral equations approach. By applying boundary conditions at nonsingular end points, new side conditions have been derived and titled “the consistency conditions” for multiple contacts. These conditions are necessary for determining the position of nonsingular end points, when the number of them exceeds the number of...
Contact of an asymmetrical rounded apex wedge with a half plane
, Article International Journal of Engineering Science ; Volume 50, Issue 1 , January , 2012 , Pages 192-197 ; 00207225 (ISSN) ; Sharafbafi, F ; Ghanati, P ; Sharif University of Technology
Abstract
Two-dimensional elastic contact problem of an asymmetrical rounded apex wedge with a half plane is considered and an analytical solution is presented for vertical and horizontal external loading in the presence of coulomb friction. The pressure and shear distribution functions are found in closed form under partial slip condition. Further by utilizing a new relation Muskhelishvili's potential function is obtained and results are analyzed. Designing better cutting tools, selecting fretting fatigue test pads and deeper lap joint analyzing are several practical applications of the outcomes