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Contact Problem for an Elastic Layer on an Elastic Half Plane Loaded by Means of Three Rigid Flat Punches
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-22
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The frictionless contact problem for an elastic layer resting on an elastic half plane is considered.
The problem is solved by using the theory of elasticity and integral transformation technique.
The compressive loads P and Q (per unit thickness in z direction) are applied to the layer through three rigid flat punches.
The elastic layer is also subjected to uniform vertical body force due to effect of gravity.
The contact along the interface between elastic layer and half plane is continuous, if the value of the load factor, λ, is less than a critical value, λcr.
In this case, initial separation loads, λcr and initial separation points, xcr are determined.
Also the required distance between the punches to avoid any separation between the punches and the elastic layer is studied and the limit distance between punches that ends interaction of punches is investigated for various dimensionless quantities.
However, if tensile tractions are not allowed on the interface, for λ>λcr the layer separates from the interface along a certain finite region.
Numerical results for distance determining the separation area, vertical displacement in the separation zone, contact stress distribution along the interface between elastic layer and half plane are given for this discontinuous contact case.
American Psychological Association (APA)
Ozsahin, T. S.& Taskıner, O.. 2013. Contact Problem for an Elastic Layer on an Elastic Half Plane Loaded by Means of Three Rigid Flat Punches. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1008513
Modern Language Association (MLA)
Ozsahin, T. S.& Taskıner, O.. Contact Problem for an Elastic Layer on an Elastic Half Plane Loaded by Means of Three Rigid Flat Punches. Mathematical Problems in Engineering No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-1008513
American Medical Association (AMA)
Ozsahin, T. S.& Taskıner, O.. Contact Problem for an Elastic Layer on an Elastic Half Plane Loaded by Means of Three Rigid Flat Punches. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-1008513
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1008513