Investigation of the scattering of harmonic elastic shear waves by a finite crack using the non-local theory

International Journal of Engineering Science

Volumn 37, Issue 5, 1999, Pages 609-620

  Zhou, Zhengong ^a   Bai, Ya Ying ^a   Zhang, Xian Wen ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; ELASTICITY; FOURIER TRANSFORMS; FRACTURE MECHANICS; HARMONIC ANALYSIS; INTEGRAL EQUATIONS; SHEAR WAVES; STRESS ANALYSIS;

FINITE HOOP STRESS; FREDHOLM INTEGRAL EQUATIONS; HARMONIC ELASTIC SHEAR WAVES; NON-LOCAL DYNAMIC ELASTIC SOLUTIONS; SCHMIDT METHOD;

CRACK PROPAGATION;

EID: 0033116018     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7225(98)00087-1     Document Type: Article

References (21)

1. A.C. Eringen, Non-local polar field theory. Continuum Physics. vol. 4, Academic Press, New York, 1976, pp. 205-267.
2. Eringen A.C. On non-local plasticity. International Journal of Engineering Science. 19:1981;1461.
3. Eringen A.C. On non-local microfluid mechanics. International Journal of Engineering Science. 11:1973;291.
4. Eringen A.C. Linear theory of non-local elasticity and dispersion of plane waves. International Journal of Engineering Science. 10:1972;425-435.
5. Eringen A.C. On non-local fluid mechanics. International Journal of Engineering Science. 10:1972;561.
6. Eringen A.C., Kim B.S. Stress concentration at the tip of crack. Mechanics Research Communications. 1:1974;233.
7. A.C. Eringen, State of stress in the neighborhood of a sharp crack tip. Transactions of the Twenty-Second Conference of Army Mathematicians. 1977, 1-18.
8. Eringen A.C., Speziale C.G., Kim B.S. Crack tip problem in non-local elasticity. Journal of Mechanics and Physics of Solids. 25:1977;339.
9. Eringen A.C. Linear crack subject to shear. International Journal of Fracture. 14:1978;367-379.
10. Eringen A.C. Linear crack subject to antiplane shear. Engineering Fracture Mechanics. 12:1979;211-219.
11. Nowinski J.L. On non-local aspects of the propagation of Love waves. International Journal of Engineering Science. 22:1984;383-392.
12. Nowinski J.L. On non-local theory of wave propagation in elastic plates. ASME Journal Applied Mechanics. 51:1984;608-613.
13. P.M. Morse, H. Feshbach. Methods of theoretical physics. vol. 1. McGraw-Hill, New York, 1958.
14. Eringen A.C. Continuum mechanics at the atomic scale. Crystal Lattice Defects. 7:1977;109-130.
15. Srivastava K.N., Palaiya R.M., Karaulia D.S. Interaction of shear waves with two coplanar Griffith cracks situated in an infinitely long elastic strip. International Journal of Fracture. 23:1983;3-14.
16. I.S. Gradshteyn, I.M. Ryzhik, Table of Integral, Series and Products, Academic Press, New York, 1980.
17. Erdelyi A. (ed) Tables of Integral Transforms, vol. 1. McGraw-Hill, New York 1954.
18. A. Amemiya, T. Taguchi, Numerical analysis and fortran. Maruzen, Tokyo, 1969.
19. Itou S. Three dimensional waves propagation in a cracked elastic solid. ASME Journal of Applied Mechanics. 45:1978;807-811.
20. Itou S. Three dimensional problem of a running crack. International Journal of Engineering Science. 17:1079;59-71.
21. Eringen A.C. Interaction of a dislocation with a crack. Journal of Applied Physics. 54:1983;6811.