International Applied Mechanics

, Volume 51, Issue 6, pp 640–647 | Cite as

Elastic State of a Sliding Short Fiber Inclusion in a Three-Dimensional Matrix

  • V. V. Mikhas’kiv
  • B. M. Stasyuk

The three-dimensional problem of load transfer between an unbounded matrix and an arbitrarily shaped inclusion that are in sliding contact is solved using the theory of elasticity and the boundary-element method. The interface conditions are implicitly incorporated into a system of six boundary integral equations, which are regularized and discretized over a boundary-element mesh. A short cylindrical fiber with rounded ends is considered as an example of inclusion to study the contact forces on its surface and the displacements and stresses inside it in a matrix subject to uniform compression at infinity


three-dimensional elastic matrix elastic inclusion noncanonical shape sliding contact stress–strain state boundary-element method 


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Ya. S. Podstrigach Institute for Applied Problems of Mechanics and MathematicsNational Academy of Sciences of UkraineLvivUkraine

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