Exact series solution for elastically supported cracked beams

Journal of Engineering and Applied Science

Volumn 50, Issue 3, 2003, Pages 419-431

  Matbuly, M S ^a   Nassar, M ^b  

^a Zagazig University ^*  (Egypt)

^b CAIRO UNIVERSITY   (Egypt)

Author keywords

Beam; Elastic Foundation; Line Spring Model; Sinusoidal Weighting Functions; Static; Stress Intensity Factors; Surface Crack

Indexed keywords

BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; ELASTICITY; FUNCTIONS; MATHEMATICAL MODELS; PROBLEM SOLVING; STRESS INTENSITY FACTORS;

LINE SPRING MODELS; SURFACE CRACKS;

CRACKS;

EID: 0242694498     PISSN: 11101903     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

1. Rice, J. R. and Levy, N., "The Part- Through Surface Crack in an Elastic Plate", J. Appl. Mech., ASME, Vol. 39, pp. 185-194, 1972.
2. Delale, F. and Erdogan, F., "Application of The Line-Spring Model to a Cylindrical Shell Containing a Circumferential or Axial Part-Through Crack", J. Appl. Mech., ASME, Vol. 49, pp. 97-102, 1982.
3. Delale, F. and Erdogan, F., "Line-Spring Model for Surface Cracks in Reissner Plate", Int. J. Engng Sci.., Vol. 19, pp. 1331-1340, 1982.
4. Abu Kiefa, M. A. and Nassar, M., "Cracked Hinged-Hinged Beam Resting on an Elastic Foundation", Int. J. of Struct., Nem Chand & Bros. Roorkee (India), Vol. 16, pp. 101-119, 1996.
5. th Symp. ASTM STP 969, (Edited by Cruse), pp. 657-668, 1988.
6. Rizos, P. F., Aspragathos, N. and Dimarogonas, A. D., "Identification of Crack Location and Magnitude in Cantilever Beams From The Vibration Modes", J. Sound Vibrat., Vol. 138, pp. 381-388, 1990.
7. Araujo, Gomes J. M., Montalvao, E. and Silva, J. M., "Theoretical and Experimental Data on Crack Depth Effects in Dynamic Behaviour of Free-Free Beams", Proc. 9: Int. Sem. Modal Analysis, Florence, Italy, pp. 15-24, 1991.
8. Mengcheng, C., "An Approximate analysis of Frequency Response of a Cracked Hinged- Hinged Beam", ACTA Mech. Solida Sinca, Vol. 7, pp. 367-375, 1994.
9. Fan, X. J., Sun, J. S., and Qian, J., "A Combination of Weight Function Method and Line Spring Model: A Surface- Cracked Cylindrical Shell Subjected to Stress Gradients, Int. J. Solids Struct., Vol. 32, pp. 3037-3046, 1995.
10. Wang, J. T.-S. and Lin, C.-C., "A Method For Exact Series Solutions in Structural Mechanics", J. Appl. Mech., ASME, Vol. 66, pp. 380-387, 1999.
11. Mei, C. C., Mathematical Analysis in Engineering - How to Use The Basic Tools, Cambridge University Press, pp. 114-118, 1995.