An equivalent domain integral method for fracture analysis of functionally graded materials under thermal stresses

Journal of Thermal Stresses

Volumn 29, Issue 4, 2006, Pages 371-397

  Yildirim, Bora ^a  

^a HACETTEPE UNIVERSITY   (Turkey)

Author keywords

Equivalent domain integral; Functionally graded materials; Stress intensity factors; Thermal stresses

Indexed keywords

FINITE ELEMENT METHOD; FUNCTIONALLY GRADED MATERIALS; HEAT TRANSFER; POISSON RATIO; STRESS INTENSITY FACTORS; TEMPERATURE DISTRIBUTION; THERMAL CONDUCTIVITY; THERMAL EXPANSION; THERMAL STRESS; THERMOELASTICITY; TIME DOMAIN ANALYSIS;

CUBIC FINITE ELEMENTS; EQUIVALENT DOMAIN INTEGRAL; THERMAL STRAINS; TRANSIENT CRACK CLOSURE;

FRACTURE MECHANICS;

EID: 33644695707     PISSN: 01495739     EISSN: 1521074X     Source Type: Journal    
DOI: 10.1080/01495730500499175     Document Type: Article

References (33)

1. F. Erdogan, Fracture Mechanics of Functionally Graded Materials, Compos, Eng., vol. 5, pp. 753-770, 1995.
2. G.-Y. Huang, Y.-S. Wang, and D. Gross, Fracture Analysis of Functionally Graded Coatings: Plane Deformation, Eur. J. Mech. A/Solids, vol. 22, pp. 535-544, 2003.
3. L.-C. Guo, L.-Z. Wu, T. Zeng, and L. Ma, The Dynamic Fracture Behavior of a Functionally Graded Coating-Substrate System, Compos. Struct., vol. 64, pp. 433-441, 2004.
4. M. H. Santare and J. Lambros, Use of Graded Finite Elements to Model the Behavior of Nonhomogeneous Materials, ASME J. Appl. Mech., vol. 67, pp. 819-822, 2000.
5. J.-H. Kim and G. H. Paulino, An Accurate Scheme for Mixed Mode Fracture Analysis of Functionally Graded Materials using Interaction Integral and Micromechanics Models, Int. J. Numer. Methods Eng., vol. 58, pp. 1457-1497, 2003.
6. B. Yildirim, S. Dag, and F. Erdogan, Three Dimensional Fracture Analysis of FGM Coatings under Thermomechanical Loading, Int. J. Fract., vol. 132, pp. 369-395, 2005.
7. J. R. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentrations by Notches and Cracks, ASME J. Appl. Mech., vol. 35, pp. 379-386, 1968.
8. J. W. Hutchinson, Singular Behavior at the End of a Tensile Crack in a Hardening Material, J. Mech. Phys. Solids, vol. 16, pp. 13-31, 1968.
9. J. W. Eischen, Fracture of Nonhomogeneous Materials, Int. J. Fract., vol. 34, pp. 3-22, 1987.
10. G. Anlas, M. H. Santare, and J. Lambros, Numerical Calculation of Stress Intensity Factors in Functionally Graded Materials, Int. J. Fract., vol. 104, pp. 131-143, 2000.
11. P. Gu, M. Dao, and R. J. Asaro, A Simplified Method for Calculating the Crack-Tip Field of Functionally Graded Materials Using the Domain Integral, ASME J. Appl. Mech., vol. 66, pp. 101-108, 1999.
12. 2 Integral, Eng. Fract. Mech., vol. 26, pp. 691-700, 1987.
13. J.-H. Kim and G. H. Paulino, Finite Element Evaluation of Mixed Mode Stress Intensity Factors in Functionally Graded Materials, Int. J. Numer. Methods Eng., vol. 53, pp. 1903-1935, 2002.
14. M. I. Mendelson, T. N. McKechnie, and L. B. Spiegel, Graded Thermal Barrier Coatings: Evaluation, Ceramic Eng. Sci. Proc., vol. 15, pp. 555-563, 1994.
15. L. Fu, K. A. Khor, H. W. Ng, and T. N. Teo, Non-Destructive Evaluation of Plasma Sprayed Functionally Graded Thermal Barrier Coatings, Surf. Coat. Technol., vol. 130, pp. 233-239, 2000.
16. S. Dag, S. Kadioglu, and O. S. Yahsi, Circumferential Crack Problem for an FGM Cylinder under Thermal Stresses, J. Thermal Stresses, vol. 22, pp. 659-687, 1999.
17. B. L. Wang, J. C. Han, and S. Y. Du, Crack Problems for Functionally Graded Materials under Transient Thermal Loading, J. Thermal Stresses, vol. 23, pp. 143-168, 2000.
18. Z.-H. Jin and G. H. Paulino, Transient Thermal Stress Analysis of an Edge Crack in a Functionally Graded Material, Int. J. Fract., vol. 107, pp. 73-98, 2001.
19. S. El-Borgi, F. Erdogan, and L. Hidri, A Partially Insulated Embedded Crack in an Infinite Functionally Graded Medium under Thermo-Mechanical Loading, Int. J. Eng. Sci., vol. 42, pp. 371-393, 2004.
20. B. Yildirim and F. Erdogan, Edge Crack Problems in Homogeneous and Functionally Graded Thermal Coatings under Uniform Thermal Loading, J. Thermal Stresses, vol. 27, pp. 311-329, 2004.
21. S. Dag, B. Yildirim, and F. Erdogan, Three Dimensional Fracture Analysis of FGM Coatings using Temperature Dependent Thermomechanical Properties, in F. Ziegler, R. Heuer, and C. Adam (eds.), Proc. Sixth International Congress on Thermal Stresses, vol. 2, p. 725, 2005.
22. W. K. Wilson and I. W. Yu, The Use of J-Integral in Thermal Stress Crack Problems, Int. J. Fract., vol. 15, pp. 377-387, 1979.
23. X. Li, J-Integral and J*-Integral in Thermal Stress Conditions, Eng. Fract. Mech., vol. 45, pp. 713-715, 1993.
24. V. Kumar, B. I. Schumacher, and M. D. German, Effect of Thermal and Residual Stresses on the J-Integral Elastic-Plastic Fracture Analysis, Comput. Struct., vol. 40, pp. 487-501, 1991.
25. K. Y. Lee and J. S. Park, J-Integral under Transient Temperature State, Eng. Fract. Mech., vol. 43, pp. 931-940, 1992.
26. I. S. Raju and K. N. Shivakumar, An Equivalent Domain Integral Method in the Two-Dimensional Analysis of Mixed Mode Crack Problems, Eng. Fract. Mech., vol. 37, pp. 707-725, 1990.
27. G. P. Nikishkov and S. N. Atluri, An Equivalent Domain Integral Method for Computing Crack-Tip Integral Parameters in Non-Elastic, Thermo-Mechanical Fracture, Eng. Fract. Mech., vol. 26, pp. 851-867, 1987.
28. B. Yildirim, S. Dag, and F. Erdogan, Steady-State Heat Conduction in Orthotropic Functionally Graded Materials Containing Cracks: Analytical and Computational Techniques, in F. Ziegler, R. Heuer, and C. Adam (eds.), Proc. Sixth International Congress on Thermal Stresses, Vol. 2, p. 517, 2005.
29. F. Erdogan and B. H. Wu, Crack Problems in FGM Layers under Thermal Stresses, J. Thermal Stresses, vol. 19, pp. 237-265, 1996.
30. T. L. Anderson, Fracture Mechanics Fundamentals and Applications, CRC Press, Boca Raton, FL, USA, 1991.
31. S. Dag, B. Yildirim, and F. Erdogan, Interface Crack Problems in Graded Orthotropic Media: Analytical and Computational Approaches, Int. J. Fract., vol. 130, pp. 471-496, 2004.
32. S. Nusier and G. Newaz, Analysis of Interfacial Cracks in a TBC Superalloy System under Thermal Loading, Eng. Fract. Mech., vol. 60, pp. 577-581, 1998.
33. G. W. Schulze and F. Erdogan, Periodic Cracking of Elastic Coatings, Int. J. Solids Structures, vol. 35, pp. 3615-3634, 1998.