Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 30121
Thermal Fracture Analysis of Fibrous Composites with Variable Fiber Spacing Using Jk-Integral

Authors: Farid Saeidi, Serkan Dag

Abstract:

In this study, fracture analysis of a fibrous composite laminate with variable fiber spacing is carried out using Jk-integral method. The laminate is assumed to be under thermal loading. Jk-integral is formulated by using the constitutive relations of plane orthotropic thermoelasticity. Developed domain independent form of the Jk-integral is then integrated into the general purpose finite element analysis software ANSYS. Numerical results are generated so as to assess the influence of variable fiber spacing on mode I and II stress intensity factors, energy release rate, and T-stress. For verification, some of the results are compared to those obtained using displacement correlation technique (DCT).

Keywords: Jk-integral, variable fiber spacing, thermoelasticity, t-stress, finite element method, fibrous composite.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1129087

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 501

References:


[1] R. F. Gibson, Principles of Composite Material Mechanics. McGraw-Hill, Singapore, 1994.
[2] J. Hutchinson, “Singular behaviour at the end of a tensile crack in a hardening material,” Journal of the Mechanics and Physics of Solids, vol. 16, no. 1, pp. 13 – 31, 1968.
[3] J. R. Rice, “A path independent integral and the approximate analysis of strain concentration by notches and cracks,” Journal of Applied Mechanics, vol. 35, no. 2, pp. 379–386, 1968.
[4] J. Knowles and E. Sternberg, “On a class of conservation laws in linearized and finite elastostatics,” Archive for Rational Mechanics and Analysis, vol. 44, no. 3, pp. 187–211, 1972.
[5] T. Hellen and W. Blackburn, “The calculation of stress intensity factors for combined tensile and shear loading,” International Journal of Fracture, vol. 11, no. 4, pp. 605–617, 1975.
[6] B. Budiansky and J. R. Rice, “Conservation laws and energy-release rates,” Journal of Applied Mechanics, vol. 40, no. 1, pp. 201–203, 1973.
[7] W.-H. Chen and K. Ting, “Finite element analysis of mixed-mode thermoelastic fracture problems,” Nuclear Engineering and Design, vol. 90, no. 1, pp. 55 – 65, 1985.
[8] W. Chen and K. T. Chen, “On the study of mixed- mode thermal fracture using modified jk -integrals,” International Journal of Fracture, vol. 17, p. R99R103, 1981.
[9] J. Chang and D. Wu, “Computation of mixed-mode stress intensity factors for curved cracks in anisotropic elastic solids,” Engineering Fracture Mechanics, vol. 74, no. 8, pp. 1360 – 1372, 2007.
[10] S. Chu and C. Hong, “Application of the jk integral to mixed mode crack problems for anisotropic composite laminates,” Engineering Fracture Mechanics, vol. 35, no. 6, pp. 1093 – 1103, 1990.
[11] E. Pan and B. Amadei, “Fracture mechanics analysis of cracked 2-d anisotropic media with a new formulation of the boundary element method,” International Journal of Fracture, vol. 77, no. 2, pp. 161–174, 1996.
[12] P. Sollero and M. Aliabadi, “Fracture mechanics analysis of anisotropic plates by the boundary element method,” International Journal of Fracture, vol. 64, no. 4, pp. 269–284, 1993.
[13] R. Khandelwal and J. C. Kishen, “Complex variable method of computing jk for bi-material interface cracks,” Engineering Fracture Mechanics, vol. 73, no. 11, pp. 1568 – 1580, 2006.
[14] R. Khandelwal and J. M. C. Kishen, “Computation of thermal stress intensity factors for bimaterial interface cracks using domain integral method,” Journal of Applied Mechanics, vol. 76, no. 4, pp. 041 010–041 010, 2009.
[15] ANSYS, ANSYS Basic Analysis Procedures Guide, Release 5.4, Canonsburg, PA, USA. Ansys Inc., USA, 1997.
[16] J. Eischen, “An improved method for computing the {J2} integral,” Engineering Fracture Mechanics, vol. 26, no. 5, pp. 691 – 700, 1987.
[17] S. Dag, E. E. Arman, and B. Yildirim, “Computation of thermal fracture parameters for orthotropic functionally graded materials using jk-integral,” International Journal of Solids and Structures, vol. 47, no. 2526, pp. 3480 – 3488, 2010.
[18] J.-H. Kim and G. H. Paulino, “Mixed-mode j-integral formulation and implementation using graded elements for fracture analysis of nonhomogeneous orthotropic materials,” Mechanics of Materials, vol. 35, no. 12, pp. 107 – 128, 2003.
[19] S. Dag, “Mixed-mode fracture analysis of functionally graded materials under thermal stresses: A new approach using j k -integral,” Journal of Thermal Stresses, vol. 30, no. 3, pp. 269–296, 2007.
[20] S. Dag, B. Yildirim, O. Arslan, and E. E. Arman, “Hygrothermal fracture analysis of orthotropic materials using j k -integral,” Journal of Thermal Stresses, vol. 35, no. 7, pp. 596–613, 2012.
[21] J.-H. Kim and G. H. Paulino, “Finite element evaluation of mixed mode stress intensity factors in functionally graded materials,” International Journal for Numerical Methods in Engineering, vol. 53, no. 8, pp. 1903–1935, 2002.