Abstract
The aim of this work is to estimate the stress intensity factor near the spherical crack inside the infinite cone under the compressing load on the cone vertex. It is supposed that on the cone surface the conditions of the first main elasticity problem are fulfilled.
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References
N. Vaysfeld, The nonstationary problem on stress concentration near the spherical crack, which is situated inside the truncated cone. (in Russian) Mathematical Methods and Physicomechanical Fields 47, 3 (2004), 134–143.
N. Vaysfeld, The nonstationary torsion problem for elastic cone with spherical crack. Materials Science 5 (2002), 75–81.
N. Vaysfeld, The nonstationary problem on stress concentration near the spherical crack inside the double truncated circular cone. (in Russian) Mashinoznavstvo 4(82) (2004), 17–23.
Mitchell, Proc. Math. Soc., London, 32 (1901), 24–29.
G. Popov, The axially symmetrical mixed problem of elasticity for the circular hollow cone. J. Appl. Maths. Mechs. 64, 3(2000), 431–443.
G. Popov, On the reduction of movement equations to the one independent and two combined solved equations. Russian Academy Reports 384, 2 (2002), 193–196.
G. Popov, Elastic stress concentration around Dies, Cuts, Thin inclusions and Supports (in Russian) Nauka, Moscow, 1982.
I. Sneddon, Fourier transforms. New York-Toronto-London, 1st Edition, 1951.
H. Bateman, A. Erdelyi, Higher Transcendental Functions. N.Y., 1st Edition, McGraw-Hill, 1955.
A. Prudnikov,Y u. Brychkov, O. Marichev, Integrals and Series. Special functions. (in Russian) Moscow, Nauka, 1983.
I. Gradshtein, L. Rygik, The Tables of Integrals, Series and Products. (in Russian) Moscow, 1963.
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Popov, G., Vaysfel’d, N. (2009). The Stress Concentration in the Neighborhood of the Spherical Crack Inside the Infinite Elastic Cone. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 191. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9921-4_11
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DOI: https://doi.org/10.1007/978-3-7643-9921-4_11
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