Thermoelastic problem of steady-state heat flow disturbed by a crack perpendicular to the graded interfacial zone in bonded materials

Journal of Thermal Stresses

Volumn 26, Issue 10, 2003, Pages 997-1030

  Choi, Hyung Jip ^a  

^a Kookmin University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

CRACKS; DISSIMILAR MATERIALS; ELASTIC MODULI; FOURIER TRANSFORMS; HEAT FLUX; INTEGRAL EQUATIONS; INTERFACES (MATERIALS); STRESS INTENSITY FACTORS; TEMPERATURE; THERMAL STRESS;

CAUCHY-TYPE SINGULAR INTEGRAL EQUATIONS; CRACK-SURFACE PARTIAL CONDUCTANCE; FOURIER INTEGRAL TRANSFORM; HEAT FLOW; HEAT FLUX INTENSITY FACTORS; NEAR-TIP TEMPERATURE; THERMAL STRESS FIELDS; THERMOELASTICALLY GRADED INTERFACIAL ZONE;

THERMOELASTICITY;

EID: 0242695747     PISSN: 01495739     EISSN: None     Source Type: Journal    
DOI: 10.1080/01495730306341     Document Type: Article

References (31)

1. S. Suresh and A. Mortensen, Functionally Graded Metals and Metal-Ceramic Composites: Part 2 Thermomechanical Behaviour, Int. Mater. Rev., vol. 42, pp. 85-116, 1997.
2. M. Koizumi, The Concept of FGM, in J.B. Holt et al. (eds.), Functionally Gradient Materials, Ceramic Trans., vol. 3-10, The American Ceramic Society, 1993.
3. F. Delale and F. Erdogan, On the Mechanical Modeling of the Interfacial Region in Bonded Half-Planes, ASME J. Appl. Mech., vol. 55, pp. 317-324, 1988.
4. Y. F. Chen and F. Erdogan, The Interface Crack Problem for a Nonhomogeneous Coating Bonded to a Homogeneous Substrate, J. Mech. Phys. Solids, vol. 44, pp. 771-787, 1996.
5. F. Erdogan and M. Ozturk, Periodic Cracking of Functionally Graded Coatings, Int. J. Eng. Sci., vol. 33, pp. 2179-2195, 1995.
6. H.J. Choi, A Periodic Array of Cracks in a Functionally Graded Nonhomogeneous Medium Loaded Under In-Plane Normal and Shear, Int. J. Fract., vol. 88, pp. 107-128, 1997.
7. F. Erdogan, A. C. Kaya, and P. F. Joseph, The Mode III Crack Problem in Bonded Materials with a Nonhomogeneous Interfacial Zone. ASME J. Appl. Mech., vol. 58, pp. 419-427, 1991.
8. F. Erdogan, A. C. Kaya, and P. F. Joseph, The Crack Problem in Bonded Nonhomogeneous Materials, ASME J. Appl. Mech., vol. 58, pp. 410-418, 1991.
9. H. J. Choi, Bonded Dissimilar Strips with a Crack Perpendicular to the Functionally Graded Interface, Int. J. Solids Struct., vol. 33, pp. 4101-4117, 1996.
10. H. J. Choi, Mode I and Mode II Analyses of a Crack Normal to the Graded Interlayer in Bonded Materials, KSME Int. J., vol. 15, pp. 1386-1397, 2001.
11. H. J. Choi, The Problem for Bonded Half-Planes Containing a Crack at an Arbitrary Angle to the Graded Interfacial Zone, Int. J. Solids Struct., vol. 38, pp. 6559-6588, 2001.
12. N. Noda and Z.-H. Jin, Thermal Stress Intensity Factors for a Crack in a Strip of a Functionally Gradient Material, Int. J. Solids Struct., vol. 30, pp. 1039-1056, 1993.
13. N. Noda and Z.-H. Jin, A Crack in Functionally Gradient Materials under Thermal Shock, Arch. Appl. Mech., vol. 64, pp. 99-110, 1994.
14. M. Nemat-Alla and N. Noda, Study of an Edge Crack Problem in a Semi-infinite Functionally Graded Medium with Two Dimensionally Nonhomogeneous Coefficients of Thermal Expansion under Thermal Load, J. Thermal Stresses, vol. 19, pp. 863-888, 1996.
15. F. Erdogan and B. H. Wu, Crack Problems in FGM Layers under Thermal Stresses, J. Thermal Stresses, vol. 19, pp. 237-265, 1996.
16. Z.-H. Jin and R. C. Batra, Stress Intensity Relaxation at the Tip of an Edge Crack in a Functionally Graded Material Subjected to a Thermal Shock, J. Thermal Stresses, vol. 19, pp. 317-339, 1996.
17. T. Fujimoto and N. Noda, Influence of the Compositional Profile of Functionally Graded Material on the Crack Path under Thermal Shock, J. Am. Ceram. Soc., vol. 84, pp. 1480-1486, 2001.
18. Y.-D. Lee and F. Erdogan, Interface Cracking of FGM Coatings under Steady-State Heat Flow, Eng. Fract. Mech., vol. 59, pp. 361-380, 1998.
19. 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.
20. B. L. Wang, Y.-W. Mai, and N. Noda, Fracture Mechanics Analysis Model for Functionally Graded Materials with Arbitrarily Distributed Properties, Int. J. Fract., vol. 116, pp. 161-177, 2002.
21. S. Ueda, Thermal Shock Fracture in a W-Cu Divertor Plate with a Functionally Graded Nonhomogeneous Interface, J. Thermal Stresses, vol. 24, pp. 1021-1041, 2001.
22. S. Euda, Transient Thermal Singular Stresses of Multiple Cracking in a W-Cu Functionally Graded Divertor Plate, J. Thermal Stresses, vol. 25, pp. 83-95, 2002.
23. J. L. Nowinski, Theory of Thermoelasticity with Applications, Sijthoff & Noordhoff, The Netherlands, 1978.
24. J. R. Barber, Steady-State Thermal Stresses Caused by an Imperfectly Conducting Penny-Shaped Crack in an Elastic Solid, J. Thermal Stresses, vol. 3, pp. 77-83, 1980.
25. B. Friedman, Lectures on Application-Oriented Mathematics, Holden-Day, San Francisco, 1969.
26. M. Abramowitz and I. A. Stegun (eds.), Handbook of Mathematical Functions, Dover, New York, 1972.
27. Z.-H. Jin and N. Noda, Crack-Tip Singular Fields in Nonhomogeneous Materials, ASME J. Appl. Mech., vol. 61, pp. 738-740, 1994.
28. N. I. Muskhelishvili, Singular Integral Equations, Wolters-Noordhoff, The Netherlands, 1958.
29. F. Erdogan, Mixed Boundary Value Problems in Mechanics, in S. Nemat-Nasser (ed.), Mechanics Today, vol. 4, pp. 1-86, Pergamon Press, New York, 1978.
30. D. Y. Tzou, The Singular Behavior of the Temperature Gradient in the Vicinity of a Macrocrack Tip, Int. J. Heat Mass Transf., vol. 33, pp. 2625-2630, 1991.
31. P. J. Davis and P. Rabinowitz, Methods of Numerical Integration, Academic Press, New York, 1984.