Abstract
In this article the determination of dynamic mode II stress intensity factors of a crack embedded in an infinite medium subjected to transient concentrated line forces is investigated. The concentrated line forces act at an arbitrary distance away from the crack, including the special case when the forces act precisely on the crack surfaces. Laplace and Fourier transforms are used to reduce the mixed boundary value problem to a standard Fredholm integral equation of the second kind in Laplace transform domain, which is solved numerically. Via the numerical inversion of Laplace transform, the dynamic mode II stress intensity factors at the crack tips are obtained and presented in graphical form for various geometry parameters. It is found that the point of application of the concentrated forces, which induce the maximum value of the dynamic mode II stress intensity factors, is precisely on the crack surface for horizontal concentrated forces, whereas for vertical forces, it is at some distance away from the crack.
Similar content being viewed by others
References
A.W. Maue, Zeitschrift für Angewandte Mathematik und Mechanik 33 (1953) 1–10.
J.F. Loeber and G.C. Sih, Journal of the Acoustical Society of America 44 (1968) 90–98.
G.C. Sih and J.F. Loeber, Quarterly of Applied Mathematics 27 (1969) 193–213.
A.K. Mal, International Journal of Engineering Science 8 (1970) 763–776.
S.A. Thau and I.H. Lu, International Journal of Engineering Science 8 (1970) 857–874.
S.A. Thau and I.H. Lu, International Journal of Solids and Structures 7 (1971) 731–750.
D.L. Jain and R.P. Kanwal, International Journal of Solids and Structures 8 (1972) 961–975.
S. Itou, ASME Journal of Applied Mechanics 45 (1978) 803–806.
Y.C. Angel and J.D. Achenbach, ASME Journal of Applied Mechanics 52 (1985) 33–41.
D. Gross and Ch. Zhang, International Journal of Solids and Structures 24 (1987) 41–49.
Ch. Zhang and J.D. Achenbach, ASME Journal of Applied Mechanics 55 (1988) 104–110.
A.W. Maue, Zeitschrift für Angewandte Mathematik und Mechanik 34 (1954) 1–12.
A.T. DeHoop, D.Sc. thesis, Technische Hogeschool, Delft (1958).
R.J. Ravera and G.C. Sih, Journal of the Acoustical Society of America 47 (1970) 875–881.
G.C. Sih et al., International Journal of Solids and Structures 8 (1972) 977–993.
E.P. Chen and G.C. Sih, Mechanics of Fracture 4, G.C. Sih (ed.), Noordhoff International Publishing Company, Leyden (1977).
E.P. Chen, ASME Journal of Applied Mechanics 45 (1978) 277–280.
S. Itou, Engineering Fracture Mechanics 13 (1980) 349–356.
W.H. Tai and K.R. Li, Engineering Fracture Mechanics 27 (1987) 379–390.
D.P. Rooke and D.J. Cartwright, Compendium of Stress Intensity Factors, Her Majesty's Stationery Office (1976).
J.D. Achenbach, Wave Propagation in Elastic Solids, North-Holland Publishing Company, Amsterdam (1973).
J. Miklowitz, Elastic Waves and Waveguides, North-Holland Publishing Company, Amsterdam (1978).
I.S. Gradshteyn and I.M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York (1980).
M.K. Miller and W.T. Guy, SIAM Journal of Numerical Analysis 3 (1966) 624–635.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Baoxing, C., Xiangzhou, Z. Dynamic mode II stress intensity factors of an infinite cracked medium subjected to transient concentrated forces. Int J Fract 57, 183–198 (1992). https://doi.org/10.1007/BF00035718
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00035718