Dynamic stress intensity factor due to concentrated loads on a propagating semi-infinite crack in orthotropic materials
Source abstract
Abstract
The elastodynamic response of an infinite orthotropic material with a semi-infinite crack propagating at constant speed under the action of concentrated loads on the crack faces is examined. Solution for the stress intensity factor history around the crack tip is found for the loading modes I and II. Laplace and Fourier transforms along with the Wiener-Hopf technique are employed to solve the equations of motion. The asymptotic expression for the stress near the crack tip is analyzed which lead to a closed-form solution of the dynamic stress intensity factor. It is found that the stress intensity factor for the propagating crack is proportional to the stress intensity factor for a stationary crack by a factor similar to the universal function k(v) from the isotropic case. Results are presented for orthotropic materials as well as for the isotropic case.
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Research context
OpenAlex topics: Elasticity and Wave Propagation · Material Properties and Failure Mechanisms · Geotechnical and Geomechanical Engineering
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References (13)
Show source-provided references
1. Baker, B.R. (1962). Dynamic Stresses Created by a Moving Crack. ASME, J. Appl. Mech. 29, 449–458.10.1115/1.3640588 ↗
2. Broberg, K.B. (1960). The Propagation of a Brittle Crack. Arch. fur Fysik 18, 159–192.
3. Cox, B.N., Sridhar, N. and Beyerlein, I. (2000). A coherent gradient sensor for crack tip measurements: Analysis and experimental results. To appear J. Mech. Phys. Solids.
4. Freund, L.B. (1973). Crack Propagation in an Elastic Solid Subjected to General Loading. III. J. Mech. Phys. Solids 21, 47–61.10.1016/0022-5096(73)90029-X ↗
5. Freund, L.B. (1990). Dynamic Fracture Mechanics, Cambridge University Press, New York, NY.10.1017/CBO9780511546761 ↗
6. Nayfeh, A.H. (1995). Wave Propagation in Anisotropic Media with Applications to Composites. North-Holland Publishing Company, Amsterdam.
7. Noble, B. (1958). Methods Based on the Wiener-Hopf Technique. Pergamon, New York, NY.
8. Poruchikov, V.B. (1993). Methods of the classical theory of elastodynamics. Springer-Verlag, New York, NY.10.1007/978-3-642-77099-9 ↗
9. Rubio-Gonzalez, C. and Mason, J. (2000). Dynamic stress intensity factors at the tip of a uniformly loaded semiinfinite crack in an orthotropic material. J. Mech. Phys. Solids 48(5), 899–925.10.1016/S0022-5096(99)00063-0 ↗
10. Rubio-Gonzalez, C. and Mason, J. (2001). Dynamic Stress Intensity factor for a propagating crack in orthotropic materials. International Journal of Engineering Science 39(1), 15–38.10.1016/S0020-7225(00)00015-X ↗
11. Ting, T.C (1996). Anisotropic Elasticity. Oxford University Press, New York, NY.10.1093/oso/9780195074475.001.0001 ↗
12. Willis J.R. (1973). Self-similar problems in elastodynamics. Phil. Trans. Royal Soc. (London) 272, 435–491.
13. Yoffe, E.H. (1951). The Moving Griffith Crack. Phil. Mag. 42, 739–750.10.1080/14786445108561302 ↗