Influence of Initial Stresses on the Fracture of Composite Material Weakened by a Subsurface Mode III Crack

Verfasser / Beitragende:
[V. Bohdanov]
Ort, Verlag, Jahr:
2015
Enthalten in:
Journal of Mathematical Sciences, 205/5(2015-03-01), 621-634
Format:
Artikel (online)
ID: 605522162
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100 1 |a Bohdanov  |D V.  |u Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine  |4 aut 
245 1 0 |a Influence of Initial Stresses on the Fracture of Composite Material Weakened by a Subsurface Mode III Crack  |h [Elektronische Daten]  |c [V. Bohdanov] 
520 3 |a By using the relations of linearized mechanics of deformable solids, we study the space problem of fracture of prestressed semibounded composites weakened by subsurface disk-shaped torsion (mode-III) cracks. With the help of representations of the general solutions of linearized equilibrium equations in terms of harmonic potential functions and Hankel integral transforms, we reduce the problem to a system of dual integral equations and then to the resolving Fredholm integral equation of the second kind. From the analysis of the stress distribution in the vicinity of the crack, we obtain the values of the stress intensity factors and study their dependences on the initial stresses, mechanical characteristics of the components of the composite, and geometric parameters of the problem. 
540 |a Springer Science+Business Media New York, 2015 
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950 |B NATIONALLICENCE  |P 100  |E 1-  |a Bohdanov  |D V.  |u Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Journal of Mathematical Sciences  |d Springer US; http://www.springer-ny.com  |g 205/5(2015-03-01), 621-634  |x 1072-3374  |q 205:5<621  |1 2015  |2 205  |o 10958