caa a22 4500 605522162 CHVBK 20210128100743.0 cr unu---uuuuu 210128e20150301xx s 000 0 eng 10.1007/s10958-015-2270-3 doi (NATIONALLICENCE)springer-10.1007/s10958-015-2270-3 Bohdanov V. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine aut Influence of Initial Stresses on the Fracture of Composite Material Weakened by a Subsurface Mode III Crack [Elektronische Daten] [V. Bohdanov] 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. Springer Science+Business Media New York, 2015 Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 621-634 1072-3374 205:5<621 2015 205 10958 https://doi.org/10.1007/s10958-015-2270-3 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-015-2270-3 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bohdanov V. Timoshenko Institute of Mechanics, Ukrainian National Academy of Sciences, Kyiv, Ukraine aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Springer US; http://www.springer-ny.com 205/5(2015-03-01), 621-634 1072-3374 205:5<621 2015 205 10958