SOLUTION TO THE CONTACT PROBLEM FOR THE PLANE WEAKENED BY A VARIABLE WIDTH GAP IN A NON-UNIFORM STRESSED FIELD

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J. of Mech. Eng., 2017, vol. 20, no. 2, pp. 29-36

DOI:   https://doi.org/10.15407/pmach2017.02.029

Journal Journal of Mechanical Engineering 
Publisher A. Podgorny Institute for Mechanical Engineering Problems
National Academy of Science of Ukraine
ISSN 0131-2928 (Print), 2411-0779 (Online)
Issue Vol. 20, no. 2, 2017 (June)
Pages 29–36

 

Author

Sh. G. Hasanov, Azerbaijan Technical University (25, H. Cavid Ave., Baku, AZ 1073, Azerbaijan), e-mail: hssh3883@gmail.com

 

Abstract

A partial closure of a variable -width crack in a non-uniform stressed field is mathematically described. The occurrence of several crack face contact areas is investigated. It is assumed that on the contact area partly a coition or slippage of crack faces occurs. The problem of the crack equilibrium with partially contacting faces reduces to the problem of linear conjugation of analytic functions. Contact stresses and contact boundaries are determined.

 

Keywords: isotropic plane in a non-uniform stress field, variable-width crack, contact zones, contact stresses

 

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Received 07 April 2017