Abstract
Nonclassical problem of fracture mechanics for near-surface crack under the action of compressive loads, directed along crack was investigated. The axisymmetrical problem for penny-shaped crack was considered. There are two approaches that are used to investigate such problems “beam approximation” and three-dimensional linearized theory of stability of deformable bodies for finite and small subcritical strains. Within the limits of the offered in second approach the problem was reduced to the solution of system of integral equations Fredholm with a side condition. Using the Bubnov-Galerkin method and numerically analytic technique, the problem was reduced to system of linear equations. As an example numerical research for a composite material was conducted. Critical loads were obtained for small and large distance between crack and free surface. Results for the composite materials behavior were also present and discussed.
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References
Guz, A.N.: Establishing the foundations of the mechanics of fracture of materials compressed along cracks (review). Int. Appl. Mech. 50, 1–57 (2014)
Obreimoff, I.W.: The splitting strength of mica. Proc. Roy. Soc. London 127, 290–297 (1930)
Guz, A.N.: On one criterion of fracture of solids in compression along the cracks. Plane problem. Docl. Akad. Nauk SSSR. 259, 1315–1318 (1980). (in Russian)
Guz, A.N., Dovzhik, M.V., Nazarenko, V.M.: Fracture of a material compressed along a crack located at a short distance from the free surface. Int. Appl. Mech. 47(6), 627–635 (2011)
Guz, A.N., Nazarenko, V.M.: Mechanics of fracture of materials in compression along the cracks (review). Highly elastic materials. Sov. Appl. Mech. 25(9), 3–32 (1989)
Guz, A.N., Knukh, V.I., Nazarenko, V.M.: Compressive failure of materials with two parallel cracks: small and large deformation. Theoret. Appl. Fract. Mech. 11, 213–223 (1989)
Bohdanov, V.L.: Mutual influence of two parallel coaxial cracks in a composite material with initial stresses. Mater. Sci. 44, 530–540 (2008)
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Dovzhyk, M., Bogdanov, V., Nazarenko, V. (2019). Fracture of Composite Material at Compression Along Near-Surface Crack. In: Gdoutos, E. (eds) Proceedings of the Second International Conference on Theoretical, Applied and Experimental Mechanics. ICTAEM 2019. Structural Integrity, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-030-21894-2_23
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DOI: https://doi.org/10.1007/978-3-030-21894-2_23
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