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Cracked Elastic Layer Under a Compressive Mechanical Load

[+] Author Affiliations
Vahagn Makaryan

National Academy of Science of Armenia, Yerevan, Armenia

Michael Sutton, Davresh Hasanyan, Xiaomin Deng

University of South Carolina, Columbia, SC

Tatevik Yeghiazaryan

Institute of Mechanics NAN, Yerevan, Armenia

Paper No. IMECE2009-11967, pp. 51-58; 8 pages
  • ASME 2009 International Mechanical Engineering Congress and Exposition
  • Volume 1: Advances in Aerospace Technology
  • Lake Buena Vista, Florida, USA, November 13–19, 2009
  • Conference Sponsors: ASME
  • ISBN: 978-0-7918-4374-1 | eISBN: 978-0-7918-3863-1
  • Copyright © 2009 by ASME


In the present work, the problem of an elastic layer weakened by a finite penny shaped crack parallel to a layer’s surface that is loaded in compression is considered. Assuming that the surfaces of the crack have frictional slipping contact, Henkel and Legendre integral transformation techniques are employed to formulate solutions in the form of an infinite system of linear algebraic equations. The regularity of the equations is established and closed-form solutions are obtained for stresses and strains. Assuming shear stress on the crack surfaces is linearly distributed, numerical results show both geometric and physical parameters have an essential influence on the stress distribution around the crack, with specific parameter values indicating the normal stress along the crack surface can change its sign from negative to positive. The implications of the work will be discussed.

Copyright © 2009 by ASME
Topics: Stress



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