Stress Intensity Factor Evaluation of Anisotropic Cracked Sheets under Dynamic Loads Using Energy Domain Integral

Abstract:

The aim of this paper is to present a procedure to perform the evaluation of dynamic stress intensity factors of composite cracked sheets. The numerical method that is used to perform the modeling of the crack is the dual boundary element method. The inertial effects are modeled using the dual reciprocity boundary elements method. The Houbolt Method is used to integrate time, and the energy domain integral is used to evaluate stress intensity factors.

• Periodical: Key Engineering Materials (Volume 454)
• Pages: 97-112
• DOI: https://doi.org/10.4028/www.scientific.net/KEM.454.97
• Online since: December 2010
• Authors: M. Mauler, P. Sollero, E.L. Albuquerque
• Keywords: Anisotropy, Boundary Element Method (BEM), Dynamic Fracture Mechanics, Energy Domain Integral

References

[1] G. E. Blandford, A. R. Ingraffea, and J. A. Ligget, Two dimensional stress intensity factor computation using the boundary element method. International Journal for Numerical Methods in Engineering 17: 387-404 (1981).

DOI: 10.1002/nme.1620170308

[2] J. Domdinguez and R. Gallego, Time domain boundary element method for dynamic stress intensity factor computation. International Journal of Numerical Methods in Engineering 33: 635-647 (1992).

DOI: 10.1002/nme.1620330309

[3] F. Garcia-Sanchez, C. Z. Zhang, A. Saez. A two-dimensional time-domain boundary element method for dynamic crack problems in anisotropic solids. Engineering Fracture Mechanics 75: 1412-1430 (2008).

DOI: 10.1016/j.engfracmech.2007.07.021

[4] P. Fedelinski and M. H. Aliabadi, The Dual boundary element method in dynamic fracture mechanics. Engineering Analysis with Boundary Elements 12: 203-210 (1993).

DOI: 10.1016/0955-7997(93)90016-e

[5] P. Fedelinski and M. H. Aliabadi, The Dual boundary element method: ˆJ-integral for dynamic stress intensity factors. International Journal of Fracture 65: 369-381 (1994).

DOI: 10.1007/bf00012375

[6] J. Sladek, V. Sladek, and P. Fedelinski, Computation of the second fracture parameter in elastodynamics by the boundary element method. Advances in Engineering Software 30: 725-734 (1999).

DOI: 10.1016/s0965-9978(99)00019-8

[7] E. L. Albuquerque, P. Sollero, and M. H. Aliabadi, The boundary element method applied to time dependent problems in anisotropic materials. International Journal of Solids and Structures, 39: 1405-1422 (2002).

DOI: 10.1016/s0020-7683(01)00173-1

[8] E. L. Albuquerque, P. Sollero, and M. H. Aliabadi, Dual boundary element method for anisotropic dynamic fracture mechanics. International Journal for Numerical Methods in Engineering, 59: 1187-1205 (2004).

DOI: 10.1002/nme.912

[9] A. Portela, M. H. Aliabadi, and D. P. Rooke, The dual boundary element method: Effective implementation for crack problems. International Journal for Numerical Methods in Engineering, 33: 1269-1287 (1982).

DOI: 10.1002/nme.1620330611

[10] M. Kögl and L. Gaul, A boundary element method for transient piezoelectric analysis. Engineering Analysis with Boundary Elements, 24: 591-598 (2000).

DOI: 10.1016/s0955-7997(00)00039-4

[11] J. C. Houbolt, A recurrence matrix solution for the dynamic response of elastic aircraft. Journal of Aeronautical and Science, 17: 540-550 (1950).

DOI: 10.2514/8.1722

[12] A. P. Cisilino, M. H. Aliabadi, and J. L. Otegui. Energy domain integral applied to solve center and double edge crack problems in three-dimensions. Theoretical and Applied Fracture Mechanics 29: 181-194 (1998).

DOI: 10.1016/s0167-8442(98)00029-9

[13] R. Balderrama, A. P. Cisilino, and M. Martinez. Boundary element analysis of threedimensional mixed-mode thermoelastic crack problems using the interaction and energy domain integrals. International Journal for Engineering Material 74: 294-320 (2008).

DOI: 10.1002/nme.2168

[14] B. Moran and C. F. Shih. A general treatment of crack tip contour integrals. International Journal of Fracture 35: 295-310 (1987).

DOI: 10.1007/bf00276359

[15] C. F. Shih, B. Moran, and A. Neddleman. Energy release rate along a three-dimensional crack front in a thermally stresses body. International Journal of Fracture 30: 79-102 (1986).

DOI: 10.1007/bf00034019

[16] F. Z. Li, , C. F. Shih, and A. Needleman. A comparison of methods for calculating energy release rates. Engineering in Fracture Mechanics 21: 405-421 (1985).

DOI: 10.1016/0013-7944(85)90029-3

[17] P. Sollero and M. H. Aliabadi. Crack growth analysis in homogeneous orthotropic laminates. Composites Science and Technology 58: 1697-1703 (1998).

DOI: 10.1016/s0266-3538(97)00240-6

[18] Y. M. Chen, Numerical computation of dynamic stress intensity factors by a Lagrangian finitedifference method. Engineering Fracture Mechanics, 7: 653-660 (1975).

DOI: 10.1016/0013-7944(75)90021-1

[19] Z. Hua, F. Tian-You, and T. Lan-Quao, Composite materials dynamic fracture studies by generalized Shmuely difference algorithm. Engineering Fracture Mechanics, 54: 869-877 (1996).

DOI: 10.1016/0013-7944(95)00147-6