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Moving semi-infinite mode-III crack inside the semi-infinite elastic media

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Indian Institute of Technology Hyderabad, Department of Civil Engineering, Telengana, India

Submission date: 2019-08-11

Final revision date: 2019-10-09

Acceptance date: 2019-11-05

Online publication date: 2020-07-15

Publication date: 2020-07-15

Journal of Theoretical and Applied Mechanics 2020;58(3):649-659

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ABSTRACT
The problem of a semi-infinite moving mode-III crack inside a semi-infinite isotropic half- -space is considered. The crack is located between a semi-infinite elastic medium and a layer whose distance from the surface to crack depth is h. Initially, Fourier transformation and inverse Fourier transformation are applied to transfer the governing boundary value problem to the well-known Wiener-Hopf equation. The purpose of this problem is to obtain the analytical solution of Stress Intensity Factor (SIF) and Crack Opening Displacement (COD) at the neighbourhood of the crack tip. In numerical Section, I have discussed the variation of parameters (crack velocity, layer distance h from the surface to crack depth) to show the effect of these parametric values on the graphs of SIF and COD where the material properties (density, shear modulus) were fixed.

REFERENCES (28)
1.
Atkinson C., List R.D., 1978, Steady state crack propagation into media with spatially varying elastic properties, International Journal of Engineering Science, 16, 717-730.

2.
Atkinson C., Popelar C.H., 1979, Antiplane dynamic crack propagation in a viscoelastic strip, Journal of Mechanics and Physics of Solids, 27, 5, 431-439.

3.
Bagheri R., Ayatollahi M., Mousavi S.M., 2015, Analytical solution of multiple moving cracks in functionally graded piezoelctric strip, Journal of Applied Mathematics and Mechanics, 36, 6, 777-792.

4.
Baker B.R., 1958, Certain dual integral equation, Journal of Mathematics and Physics, 37, 1-4, 128-136.

5.
Das A.N., Ghosh M.L., 1992, Two coplanar Griffith cracks moving along the interface of two dissimilar elastic medium, Engineering Fracture Mechanics, 41, 59-69.

6.
Georgiadis H.G., 1986, Complex variable and integral transform methods for elastodynamic solutions of cracked orthotropic strips, Engineering Fracture Mechanics, 24, 5, 727-735.

7.
Georgiadis H.G., Papadopoulos G.A., 1988, Cracked orthotropic strip with clamped boundaries, Journal of Applied Mathematics and Physics, 39, 573-578.

8.
Knauss W.H., 1966, Stresses in an infinite strip containing a semi-finite crack, Journal of Applied Mechanics, 33, 2, 356-362.

9.
Kuo M., 1998, Stress intensity factors for a semi-infinite plane crack under a pair of point forces on the faces, Journal of Elasticity, 30, 3, 197-209.

10.
Kuo M., Chen T.Y., 1992, The Wiener-Hopf technique in elastodynamic crack problems with characteristic lengths in loading, Engineering Fracture Mechanics, 42, 5, 805-813.

11.
Li X.F., 2001, Closed-form solution for a mode-III interface crack between two bonded dissimilar elastic layers, International Journal of Fracture, 109, L3-L8.

12.
Lowengrub M., 1975, A pair of coplanar cracks at the interface of two bonded dissimilar elastic half-planes, International Journal of Engineering Science, 13, 731-741.

13.
Lowengrub M., Srivastava K.N., 1968, On two coplanar Griffith cracks in an infinite elastic medium, International Journal of Engineering Science, 6, 359-362.

14.
Mandal P., Mandal S.C., 2017, Interface crack at orthotropic media, International Journal of Applied and Computational Mathematics, 3, 4, 3253-3262.

15.
Matczyński M., 1973, Motion of a crack in antiplane strain of an elastic strip, Archive of Mechanics, 25, 823.

16.
Nandi A., Mandal S.C., 2017, Diffraction of sh-waves with cracks in composite media, Mechanics of Advanced Materials and Structures, 25, 11, 881-888.

17.
Nilsson F., 1972, Dynamic stress intensity factors for finite strip problems, International Journal of Fracture Mechanics, 8, 4, 403-411.

18.
Nilsson F., 1973, Erratum to dynamic stress intensity factors for finite strip problems, International Journal of Fracture, 9, 4, 477.

19.
Noble B., 1958, Method Based on the Wiener-Hopf Technique, Pergamon Press, New York.

20.
Nourazar M., Ayatollahi M., 2016, Multiple moving interfacial cracks between two dissimilar piezoelectric layers under electromechanical loading, Smart Materials and Structures, 25, 7.

21.
Rice J.R., 1967, Discussion: stresses in an infinite strip containing a semi-infinite crack, Journal of Applied Mechanics, 34, 1, 248-249.

22.
Sarkar J., Ghosh M.L., Mandal S.C., 1991, Scattering of antiplane shear wave by a propagating crack at the interface of two dissimilar elastic media, Proceedings of the Indian Academy of Mathematical Sciences, 101, 183-194.

23.
Sih G.C., 1968, Some elastodynamic problems of cracks, International Journal of Fracture Mechanics, 1, 51-68.

24.
Srivastava K.N., Palaiya R.M., Karaulia D.S., 1980, Interaction of antiplane shear waves by a Griffith crack at the interface of two bonded dissimilar elastic half spaces, International Journal of Fracture, 16, 349-358.

25.
Wang C.Y., Rubio-Gonzalez C., Mason J.J., 2001, The dynamics stress intensity factor for a semi-infinite crack in orthotropic materials with concentrated shear impact loads, International Journal of Solids and Structure, 38, 1265-1280.

26.
Wu X.F., Dzenis Y.A., Fan T.Y., 2003, Two semi-infinite interfacial cracks between two bonded dissimilar elastic strips, International Journal of Engineering Science, 41, 15, 1699-1710.

27.
Wu X.F., Lilla E., Zou W.S., 2002, A semi-infinite interfacial crack between two bonded dissimilar elastic strips, Archive of Applied Mechanics, 72, 630-636.

28.
Yoffe E.H., 1951, The moving Griffith crack, Philosophical Magazine, 42, 739-750.

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