Shear stress intensity factor near semi-infinite cylindrical crack edges under their shock loading
- 25 Downloads
The discontinuous solution of the torsional vibration equation for an elastic medium with a flaw in the form of a semi-infinite cylindrical crack is constructed. The method of solving the integro-differential equation describing the distribution of shear stresses along the edges of a cylindrical crack is presented. The evaluation procedure for a stress intensity factor and its numerical calculation for the case of short times under the shock loading of cylindrical crack edges are given. It is established that the magnitude of a dynamic stress intensity factor can be used to determine the condition of shock wave interactions with structural heterogeneities at the high-rate deformation of treated surfaces containing flaws in the form of cylindrical cracks.
KeywordsShock Wave Stress Intensity Factor Stress Intensity Factor Shock Loading Infinite System
Unable to display preview. Download preview PDF.
- 1.G. Ya. Popov,Elastic Stress Concentration near Dies, Slits, Fine Inclusions, and Reinforcements [in Russian], Nauka, Moscow (1982).Google Scholar
- 2.G. Ya. Popov,Contact Problems for a Linearly Deformed Base [in Russian], Vyshcha Shkola, Kiev, Odessa (1982).Google Scholar
- 3.H. Bateman and A. Erdélyi,Higher Transcendental Functions. Vol. 2, McGraw-Hill, New York-Toronto-London (1953).Google Scholar
- 4.G. Ya. Popov, “A spectral relation for Chebyshev-Laguerre polynomials and its application to the dynamic problems of fracture mechanics”Prikl. Mat. Mekh.,62, No. 6, 32–37 (1998).Google Scholar
- 5.I. S. Gradshtein and I. M. Ryzhik,Tables of Intergrals, Sums, Series, and Products [in Russian], Fizmatgiz, Moscow (1962).Google Scholar
- 6.H. Bateman and A. Erdélyi,Tables of Integral Transforms, Vol. 1, McGraw-Hill, New York-Toronto-London (1954).Google Scholar
- 7.Mechanics of Continuous Media and Related Problems of Analysis [in Russian], Nauka, Moscow (1972).Google Scholar