Scattering of anti-plane stress waves by a crack in a non-homogeneous orthotropic medium

Composite Structures

Volumn 79, Issue 2, 2007, Pages 174-179

  Ma, Li ^a,b   Nie, Wu ^b   Wu, Lin Zhi ^a   Guo, Li Cheng ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

^b HARBIN ENGINEERING UNIVERSITY   (China)

Author keywords

Dynamic stress intensity factor; Functionally graded orthotropic materials; Scattering of stress wave

Indexed keywords

ACOUSTIC EMISSIONS; CRACK INITIATION; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; JACOBIAN MATRICES; SCATTERING; STRESS INTENSITY FACTORS;

ANTI-PLANE HARMONIC WAVES; JUMP OF THE DISPLACEMENT COMPONENTS; NON-HOMOGENEOUS ORTHOTROPIC MEDIUM; SCHMIDT METHOD;

FUNCTIONALLY GRADED MATERIALS;

CRACKING; FOURIER TRANSFORM ANALYSIS; FRACTURE; STRESS;

EID: 33847611882     PISSN: 02638223     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruct.2005.12.002     Document Type: Article

References (28)

1. In: Miyamoto Y., Kaysser W.A., and Rabin B.H. (Eds). Functionally graded materials: design, processing and applications (1999), Kluwer Academic publishers, Boston
2. Delale F., and Erdogan F. The crack problem for a nonhomogeneous plane. J Appl Mech 50 (1983) 609-614
3. Konda N., and Erdogan F. The mixed mode crack problem in a nonhomogeneous elastic plane. Eng Fract Mech 47 (1994) 533-545
4. Shbeeb N.I., Binenda W.K., and Kreider K.L. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part I: theoretical analysis. J Appl Mech 66 (1999) 492-500
5. Shbeeb N.I., Binenda W.K., and Kreider K.L. Analysis of the driving forces for multiple cracks in an infinite nonhomogeneous plate, Part II: numerical solution. J Appl Mech 66 (1999) 501-505
6. Jin Z.H., and Batra R.C. Some basic fracture mechanics concepts in functionally graded materials. J Mech Phys Solids 44 (1996) 1221-1235
7. Anlas G., Santare M.H., and Lambros J. Numerical calculation of stress intensity factors in functionally graded materials. Int J Fract 104 (2000) 131-143
8. Marur P.R., and Tippur H.V. Numerical analysis of crack-tip fields in functionally graded materials with a crack normal to the elastic gradient. Int J Solids Struct 37 (2000) 5353-5370
9. Marur P.R., and Tippur H.V. Evaluation of mechanical properties of functionally graded materials. J Test Eval 26 (1998) 539-545
10. Butcher R.J., Rousseau C.E., and Tippur H.V. A functionally graded particulate composite: preparation, measurements and failure analysis. Acta Mater 47 (1999) 259-268
11. Carpenter R.D., Liang W.W., Paulino G.H., Gibeling J.C., and Munir Z.A. Fracture testing and analysis of a layered functionally graded Ti/TiB beam in 3-point bending. Mater Sci Forum 308-311 (1999) 837-842
12. Carpenter R.D., Paulino G.H., Munir Z.A., and Gibeling J.C. A novel technique to generate sharp cracks in metallic/ceramic functionally graded materials by reverse 4-point bending. Scripta Mater 43 (2000) 547-552
13. Rousseau C.E., and Tippur H.V. Compositionally graded materials with cracks normal to the elastic gradient. Acta Mater 48 (2000) 4021-4033
14. Li H., Lambros J., Cheeseman B.A., and Santare M.H. Experimental investigation of the quasi-static fracture of functionally graded materials. Int J Solids Struct 37 (2000) 3715-3732
15. Sampath S., Herman H., Shimoda N., and Saito T. Thermal spray processing of FGMs. MRS Bull 20 1 (1995) 27-31
16. Kaysser W.A., and Ilschner B. FGM research activities in Europe. MRS Bull 20 1 (1995) 22-26
17. Ozturk M., and Erdogan F. Mode I crack problem in an inhomogeneous orthotropic medium. Int J Eng Sci 35 9 (1997) 869-883
18. Chen J., Liu Z., and Zou Z. Transient internal crack problem for a nonhomogeneous orthotropic strip (mode I). Int J Eng Sci 40 (2002) 1761-1774
19. Meguid S.A., Wang X.D., and Jiang L.Y. On the dynamic propagation of a finite crack in functionally graded materials. Eng Fract Mech 69 (2002) 1753-1768
20. Jiang L.Y., and Wang X.D. On the dynamic propagation in an interphase with spatially varying elastic properties under inplane loading. Int J Fract 114 (2002) 225-244
21. In: Erdelyi A. (Ed). Table of the integral transforms vol. 1 (1954), McGraw-Hill, New York
22. Gradshteyn I.S., and Ryzhik I.M. Table of integral, series and products (1980), Academic Press, New York
23. Morse P.M., and Feshbach H. Methods of theoretical physics vol. 1 (1958), McGraw-Hill, New York
24. Yau W.F. Axisymmetric slipless indentation of an infinite elastic cylinder. SIAA J Appl Math 15 (1967) 219-227
25. Itou S. Three-dimensional waves propagation in a cracked elastic solid. ASME J Appl Mech 45 (1978) 807-811
26. Zhou Z.G., and Shen Y.P. Investigation of the scattering of harmonic shear waves by two collinear cracks using the non-local theory. ACTA Mech 135 (1999) 169-179
27. Ma L., Wu L.-Z., and Zhou Z.-G. Dynamic stress intensity factors around two parallel cracks in a functionally graded layer bonded to dissimilar half planes subjected to anti-plane incident time-harmonic stress wave. Int J Eng Sci 42 2 (2004) 187-202
28. Sih G.C. Mechanics of Fracture 4: elastodynamic crack problems (1977), Noordhoff International Publishing, Leyden