A Study on the Dynamic Energy Release Rate of an Orthotropic Strip with a Half Infinite Crack and Large Anistropic Ratio

- Journal title : Transactions of the Korean Society of Mechanical Engineers A
- Volume 24, Issue 7, 2000, pp.1863-1870
- Publisher : The Korean Society of Mechanical Engineers
- DOI : 10.22634/KSME-A.2000.24.7.1863

Title & Authors

A Study on the Dynamic Energy Release Rate of an Orthotropic Strip with a Half Infinite Crack and Large Anistropic Ratio

Baek, Un-Cheol; Hwang, Jae-Seok;

Baek, Un-Cheol; Hwang, Jae-Seok;

Abstract

When an impact stress is applied on the external boundary of double cantilever beam of orthotropic material which crack length is greater than specimen hight and anistropic ratio is very high, dyna mic energy release rate is derived, and the relationship between dynamic energy release rate and crack propagating velocity is studied. Dynamic energy release rate to static energy release rate is decreased with increasment of crack propagating velocity. The relationships between dynamic energy release rate and vertical strain have a similar pattern with those between static energy release rate and vertical strain. When normalized time(Cstla) is greater than or equal to 2, dynamic energy release rate approaches to a constant value.

Keywords

Anistropic Ratio;Orthotropic Material;Shear Wave Velocity;Fourier Transformation;Wiener-Hopf Technique;Double Cantilever Beam;Impact Stress;Dynamic Energy Release Rate;Crack Propagating Velocity;DCB;

Language

Korean

References

1.

Tzou, H. S. and Bao, Y., 1995, 'A Theory on Anistropic Piezothermoelastic Shell Laminates with Sensor/Actuator Application,' Journal of Sound and Vibration Vol. 184, pp. 453-473

2.

Narita, F. and Shindo, Y., 1998, 'Dynamic Anti-Plane Shear of a Cracked Piezoelectric Ceramic,' Theoretical and Applied Fracture Mechanics, Vol. 29, pp. 169-180

3.

Mott. N. F., 1948, 'Fracture of Metals : Theoretical Considerations,' Engineering, Vol. 165, p. 16

4.

Cotteral, B., 1964, 'On the Nature of Moving Cracks,' Journal of Applied Mechanics, Trans. A.S.M.E., Vol. 31, p. 12

5.

Shukla, A. and Kavaturur, M., 1997, 'Opening-Mode Dominated Crack Growth along Inclined Interfaces,' International Journal of Solids and Structures, Vol. 83, pp. 291-304

6.

Singh, R. P., Kavatorn, M., and Shukla, A., 1997, 'Propagation and Arrest of a Bimaterial Interface Crack Subjected to Controlled Stress Wave Loading,' International Journal of Fracture, to appear

7.

Liechti, K. M. and Kanuss, W. G., 1982, 'Crack Propagation in Material Interface : II. Experiments on Mode Interaction', Experimental Mechanics, Vol. 22, pp. 383-391

8.

Erdogan, F., 1968, 'Crack-Propagation Theories,' Fracture-An Advanced Treastise(ed. H. Liebowitz), Vol. 2, pp. 498-590, Academic Press

9.

Sih, G. C., 1970, 'Dynamic Aspects of Crack Propagation,' Inelastic behavior of solids(eds. M. Kannien, W. Adler, A. Rosenfield and R. Jaffee), pp. 607-639, McGraw-Hill

10.

Bradley, W. B. and Kobayashi, A. S., 1970, 'An Investigation of Propagating Cracks by Dynamic Photoelasticity,' Experimental Mechanics, Vol. 10, No. 3, pp. 106-113

11.

Paxon, T. L. and Lucas, R. A., 1973, 'An Experimental Investigation of the Velocity Characteristics of a Fixed Boundary Fracture Model,' Dynamic Crack Propagation(ed. G. C. Sih), pp. 415-426, Noordhoff, Leyden

12.

Yoffe, E. H., 1951, 'The Moving Griffith Crack,' Philosophical Magazine, Vol. 42, No. 33, pp. 739-750

13.

Baker, B. R., 1962, 'Dynamic Stresses Created by a Moving Crack,' Transactions of the ASME. Journal of Applied Mechanics, Vol. 29, pp. 449-458

14.

Paris, P. C. and Whitmore, C. F., 1959, 'Tear Resistance and the Effect of Normanial Stress,' University of Washington

15.

Sih, G. C., Paris, P. C. and Irwin, G. R., 1965, 'On Cracks in Rectilinearly Anistropic Bodies', International Journal of Fracture Mechanics, Vol. 1, pp. 189-203

16.

Freund, L. B., 1990, Dynamic Fracture Mechanies, Cambridge University Press

17.

Dear, J. P., 1996, 'A Fracture Model to Study the Effect of Specimen Size on Dynamic Energy Release Rates,' Fatigue & Fracture of Engineering Materials & Structures, Vol. 19, No. 5, pp. 601-610

18.

Freund, L. B. and Douglas, A. S., 1982, 'The Influence of Inertia on Elastic-Plastic Antiplane Shear Crack Growth,' Journal of the Mechanics and Physis of Solids, Vol. 30, pp. 59-74

19.

Wellmar, P., Fellers, C., Nilsson, F, and Delhage, L., 1997, 'Crack-Tip Characterization in Paper,' Journal of Pulp and Paper Science, Vol. 23, No. 6, pp. J269-J275

20.

Tsai, S. W. and Hahn, H. T., 1980, Introduction to Composite Materials, TECHNOMIC Publishing Co., Inc. p. 19

21.

Jaleel, K. M. A., Kishore, N. N., and Sundararajan, 1993, 'Finite-Element Simulation of Elastic Wave Propagation in Orthotropic Composite Materials,' Materials Evaluation, pp. 830-838