:: Volume 1, Issue 1 (4-2019) ::
3 2019, 1(1): 18-25 Back to browse issues page
Contact Problem of an Elastically Dissimilar Symmetric Wedge with a Half Plane Including Convective Effect
Yadolah Alinia *, Saeed Adib
Department of Mechanical Engineering, Hakim Sabzevari University, Sabzevar, Iran
Abstract:   (3167 Views)
In this paper, the contact problem between a dissimilar wedge and an elastic half-plane is studied. The investigated problem considers the convective effect which resembles a non-Hertzian contact problem. Unlike the previous studies, which focused to find the solutions of the singular integral equations, here, the contact problem is formulated based on the Muskhelishvili complex potential method for the two-dimensional elasticity. The problem formulation is converted into a Riemann-Hilbert problem. Finally, we derive a closed-form solution for the Riemann-Hilbert problem in terms of the Muskhelishvili complex potential. According to the results, the convective effect increases the contact half-length by factor of 35% for the case of maximum material dissimilarity. Moreover, the complex potential for the similar materials condition is extracted in accordance with the previous studies.
Keywords: Contact problem, Dissimilar materials, Convective effect, Complex potential
Full-Text [PDF 783 kb]   (964 Downloads)    
Type of Study: Research | Subject: Solid Mechanics
Received: 2018/10/27 | Accepted: 2019/03/22 | Published: 2019/04/14

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Volume 1, Issue 1 (4-2019) Back to browse issues page