We solve a fracture-mechanics problem for a cracked material under polyharmonic loading (waves of various lengths propagating through an elastic material). The frictional contact interaction of the finite crack edges in a plane is analyzed for the case of normal incidence of two harmonic shear waves with different frequencies. The forces of contact interaction and displacement discontinuity are determined. The effect of the wave frequency on the stress intensity factor for different normalized wave numbers is examined
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. N. Guz and V. V. Zozulya, “Dynamic problem for a plane with a notch: Allowing for the interaction of crack edges,” DAN SSSR, 318, No. 2, 304–307 (1991).
A. N. Guz and V. V. Zozulya, Brittle Fracture of Materials under Dynamic Loads, Vol. 4 book 2 of the four-volume five-book series Nonclassical Problems of Fracture Mechanics [in Russian], Naukova Dumka, Kyiv (1993).
G. S. Kit and O. V. Poberezhnyi, Nonstationary Processes in Bodies with Imperfections such as Cracks [in Russian], Naukova Dumka, Kyiv (1992).
V. Z. Parton and V. G. Boriskovskii, Dynamic Fracture Mechanics [in Russian], Mashinostroenie, Moscow (1985).
V. Z. Parton and V. G. Boriskovskii, Dynamics of Brittle Fracture [in Russian], Mashinostroenie, Moscow (1988).
M. H. Aliabadi, Dynamic Fracture Mechanics, Comput. Mech. Publ., Southampton (1995).
G. C. Sih (ed.), Elastodynamic Crack Problems, Noordhoff, Leyden (1977).
A. N. Guz and V. V. Zozulya, “Contact interaction between crack edges under a dynamic load,” Int. Appl. Mech., 28, No. 7, 407–414 (1992).
A. N. Guz and V. V. Zozulya, “Fracture dynamics with allowance for a crack edges contact interaction,” Int. J. Nonlin. Sci. Numer. Simul., 2, No. 3, 173–233 (2001).
A. N. Guz and V. V. Zozulya, “Elastodynamic unilateral contact problems with friction for bodies with cracks,” Int. Appl. Mech., 38, No. 8, 895–932 (2002).
A. N. Guz and V. V. Zozulya, “On dynamical fracture mechanics in the case of polyharmonic loading by P-waves,” Int. Appl. Mech., 45, No. 9, 1033–1039 (2009).
O. V. Menshykov and I. A. Guz, “Effect of contact interaction of the crack faces for a crack under harmonic loading,” Int. Appl. Mech., 43, No. 7, 809–815 (2007).
V. V. Zozulya, “Investigation of the contact of edges of cracks interacting with a plane longitudinal harmonic wave,” Int. Appl. Mech., 27, No. 12, 1191–1195 (1991).
V. V. Zozulya, “Regularization of the divergent integrals. II. Application in fracture mechanics,” Electron. J. Bound. Elem., 4, No. 2, 58–67 (2006).
V. V. Zozulya, “Contact problems for a plane crack under a normally incident antiplane shear wave,” Int. Appl. Mech., 43, No. 5, 586–590 (2007).
V. V. Zozulya, “Stress intensity factor in a contact problem for a plane crack under an antiplane shear wave,” Int. Appl. Mech., 43, No. 9, 1043–1047 (2007).
V. V. Zozulya and O. V. Men’shykova, “Dynamic contact problem for a plane with a finite crack,” Int. Appl. Mech., 38, No. 12, 1459–1463 (2002).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Prikladnaya Mekhanika, Vol. 46, No. 1, pp. 138–144, January 2010.
Rights and permissions
About this article
Cite this article
Guz, A.N., Zozulya, V.V. On dynamical fracture mechanics in the case of polyharmonic loading by SH-waves. Int Appl Mech 46, 113–119 (2010). https://doi.org/10.1007/s10778-010-0288-2
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-010-0288-2