Shearing effects on the breathing mechanism of a cracked beam section in bi-axial flexure

European Journal of Mechanics, A/Solids

Volumn 28, Issue 6, 2009, Pages 1079-1087

  El Arem, Saber ^a  

^a LABORATOIRE SOLS SOLIDES STRUCTURES   (France)

Author keywords

Beam finite element; Breathing crack; Convex analysis; Shearing effects; Unilateral contact

Indexed keywords

APPLIED FORCES; BEAM FINITE ELEMENT; BREATHING CRACK; CIRCULAR CROSS-SECTION; CONVEX ANALYSIS; CRACK LIPS; CRACKED BEAMS; DISPLACEMENTS FIELDS; DYNAMICS ANALYSIS; ELASTIC ENERGY; MODEL IDENTIFICATION; NONLINEAR CONSTITUTIVE EQUATIONS; SINGLE CRACK; THREE DIMENSIONAL FORMULATION; THREE-DIMENSIONAL COMPUTATIONS; TRANSVERSE SECTION; UNILATERAL CONTACT;

CONSTITUTIVE EQUATIONS; CRACK DETECTION; NONLINEAR EQUATIONS; SHEARING; THREE DIMENSIONAL;

FINITE ELEMENT METHOD;

EID: 67651111822     PISSN: 09977538     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.euromechsol.2009.05.004     Document Type: Article

References (40)

1. Abraham O.N.L., Brandon J.A., and Cohen A.M. Remark on the determination of compliance coefficients at the crack section of a uniform beam with circular cross section. J. Sound Vib. 169 2 (1994) 570-574
2. Andrieux, S., 2000. Détermination de la loi de comportement en flexion bi-axée d'une poutre fissurée avec prise en compte du contact sur les fissures (in French). rapport interne HP-50/99/018/A, EDF-DER.
3. Andrieux S., and Varé C. A 3d cracked beam model with unilateral contact- application to rotors. European Journal of Mechanics, A/Solids 21 (2002) 793-810
4. Anifantis, N., Dimarogonas, A.D., 1983. Identification of peripheral cracks in cylindrical shells. In: ASME-Wint. Ann. Meet., Boston, Mass., USA.
5. Bueckner H.F. The propagation of cracks and the energy of elastic deformation. Trans. ASME 80 (1958) 1225-1229
6. Bui H.D. Mécanique de la rupture fragile (in French) (1978), Masson
7. Dimarogonas A.D. Dynamic Response of Cracked Rotors. Internal Report (1970), General Electric Co., Schenectady NY
8. Dimarogonas A.D. Dynamics of Cracked Shafts. Internal Report (1971), General Electric Co., Schenectady NY
9. Dimarogonas, A.D., 1982. Crack identification of in aircraft structures. In: First National aircraft conf., Athens.
10. Dimarogonas A.D. A Fuzzy Logic Neutral Network Structured Expert System Shell for Diagnosis and Prognosis - Users Manual. EXPERTS (1987), Clayton laboratories, St Louis, Missouri, USA
11. Dimarogonas A.D. A general purpose rotor dynamic analysis program- users manual. RODYNA (1988), Clayton laboratories, St Louis, Missouri, USA
12. Dimarogonas A.D. Author's reply. J. Sound Vib. 169 (1994) 575-576
13. Dimarogonas A.D. Vibration of cracked structures: a state of the art review. Eng. Frac. Mech. 55 5 (1996) 831-857
14. Dimarogonas A.D., and Paipetis S.A. Analytical Methods in Rotor Dynamics (1983), Applied Science Publishers
15. El Arem, S., 2006. Vibrations non-lineaires des structures fissurées: application aux rotors de turbines (in French). PhD thesis, Ecole Nationale des Ponts et Chaussées.
16. El Arem, S., Andrieux, S. Varé, C., Verrier, P., 2003. Loi de comportement en flexion d'une section de poutre fissurée avec prise en compte des effets de cisaillement (in French). In: 6ème colloque nationale en calcul des structures, vol. II, pp. 223-230, Giens.
17. El Arem S., and Maitournam H. Un élément fini de poutre fissurée: application à la dynamique des arbres tournants (in French). Eur. J. Comp. Mech. 16 5 (2007) 643-663
18. El Arem S., and Maitournam H. A cracked beam finite element for rotating shaft dynamics and stability analysis. J. Mech. Mat. Struc. 3 5 (2008) 893-910
19. Entwistle R.D., and Stone B.J. Survey of the use of vibration methods in the assessment of component geometry. I.E.Aust. Vibration and Noise Conference, Melbourne September 1990 (1990) 210-217
20. Gasch R. A survey of the dynamic behavior of a simple rotating shaft with a transverse crack. J. Sound Vib. 160 (1993) 313-332
21. Gross B., and Srawley J.E. Stress Intensity Factors for a Single-edge-notch Tension Specimen by Boundary Collocation of a Stress Function. Tech. Note D-2395 (1964), NASA
22. Gross B., and Srawley J.E. Stress Intensity Factors for a Single-edge-notch Specimen in Bending or Combined Bending and Tension by Boundary Collocation of a Stress Function. Tech. Note D-2603 (1965), NASA
23. Gudmundson P. The dynamical behavior of slender structures with cross-sectional cracks. J. Mech. Phys. Solids 31 (1983) 329-345
24. Irwin G.R. Analysis of stresses and strains near the end of a cracktraversing a plate. J. App. Mech. 24 (1957) 361-364
25. Irwin, G.R., 1957b. Relation of stresses near a crack to the crack extension force. In: 9th Cong. App. Mech., Brussels.
26. Ostachowicz W.M., and Krawwczuk M. Coupled torsional and bending vibrations of a rotor with an open crack. Arch. App. Mech. 62 (1992) 191-201
27. Pafelias T. Dynamic Response of a Cracked Rotor. Technical Information Series DF-74-LS-79 (1974), General Electric Co.
28. Papadopoulos C.A. Coupling of bending and torsional vibration of a cracked Timoshenko beam. J. Sound Vib. 278 (2004) 1205-1211
29. Papadopoulos C.A. The strain energy release approach for modeling cracks in rotors: A state of the art review. Mech. Sys. Sig. Proc. 22 (2008) 763-789
30. Papadopoulos C.A., and Dimarogonas A.D. Coupled longitudinal and bending vibrations of a rotating shaft with an open crack. J. Sound Vib. 117 (1987) 81-93
31. Papadopoulos C.A., and Dimarogonas A.D. Coupling of bending and torsional vibration of a cracked Timoshenko beam. Ing. Arch. 57 (1987) 496-505
32. Papadopoulos, C.A., Dimarogonas, A.D., 1987c. Stability of cracked rotors in the coupled vibration mode. In: ASME-11th Bien. Conf. Mech. Vib. Noise, pp. 25-34, Boston, Mass., USA.
33. Rice J.R., and Levy N. The part-through surface crack in an elastic plate. J. App. Mech. 39 (1972) 185-194
34. Stoisser C.M., and Audebert S. A comprehensive theoretical, numerical and experimental approach for crack detection in power plant rotating machinery. Mechanical Systems and Signal Processing 22 (2008) 818-844
35. Tada H., Paris P., and Irwin G. The Stress Analysis of Cracks Handbook (1973), Del Research Corporation, Hellertown, Pennsylvania, USA
36. Varé, C., 2000. Calcul d'un modèle de rotor fissuré pour le code cadyro. rapport interne HP-54/99/047/B, EDF-R et D.
37. Varé, C., Andrieux, S., 2005. Modeling of a cracked beam section under bending. In: 18th International Conference on Structural Mechanics in Reactor Technology (SMiRT 18), pp. 281-290, Beijing, China.
38. Wauer J. Modelling and formulation of equations of motion for cracked rotating shafts. Int. J. Solids Struct. 26 9 (1990) 901-914
39. Wauer J. On the dynamics of cracked rotors: a literature survey. App. Mech. Rev. 43 1 (1990) 13-17
40. Westmann R.A., and Yang W.H. Stress analysis of cracked rectangular beams. J. App. Mech. 32 (1967) 639-701