Structural Engineering and Mechanics

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Effects of temperature dependent material properties on mixed mode crack tip parameters of functionally graded materials

  • Rajabi, Mohammad (Department of Mechanical Engineering, Intelligence Based Experimental Mechanics Center, University of Tehran) ;
  • Soltani, Nasser (Department of Mechanical Engineering, Intelligence Based Experimental Mechanics Center, University of Tehran) ;
  • Eshraghi, Iman (Department of Mechanical Engineering, Intelligence Based Experimental Mechanics Center, University of Tehran)
  • Received : 2015.10.15
  • Accepted : 2015.12.27
  • Published : 2016.04.25
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Abstract

Effects of temperature dependent material properties on mixed mode fracture parameters of functionally graded materials subjected to thermal loading are investigated. A domain form of the $J_k$-integral method including temperature-dependent material properties and its numerical implementation using finite element analysis is presented. Temperature and displacement fields are calculated using finite element analysis and are used to compute mixed mode stress intensity factors using the $J_k$-integral. Numerical results indicate that temperature-dependency of material properties has considerable effect on the mixed-mode stress intensity factors of cracked functionally graded structures.

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References

  1. Abolbashari, M.H. and Nazari, F. (2014), "A multi-crack effects analysis and crack identification in functionally graded beams using particle swarm optimization algorithm and artificial neural network", Struct. Eng. Mech., 51(2), 299-313. https://doi.org/10.12989/sem.2014.51.2.299
  2. Atkinson, C. and List, R. (1978), "Steady state crack propagation into media with spatially varying elastic properties", Int. J. Eng. Sci., 16(10), 717-730. https://doi.org/10.1016/0020-7225(78)90006-X
  3. Bhardwaj, G., Singh, I., Mishra, B. and Bui, T. (2015), "Numerical simulation of functionally graded cracked plates using NURBS based XIGA under different loads and boundary conditions", Compos. Struct., 126, 347-359. https://doi.org/10.1016/j.compstruct.2015.02.066
  4. Birman, V. and Byrd, L.W. (2007), "Modeling and analysis of functionally graded materials and structures", Appl. Mech. Rev., 60(5), 195-216. https://doi.org/10.1115/1.2777164
  5. Dag, S. (2007), "Mixed-mode fracture analysis of functionally graded materials under thermal stresses: a new approach using J_k-integral", J. Therm. Stress., 30(3), 269-296. https://doi.org/10.1080/01495730601130943
  6. Dag, S., Yildirim, B. and Erdogan, F. (2004), "Interface crack problems in graded orthotropic media: Analytical and computational approaches", Int. J. Fract., 130(1), 471-496. https://doi.org/10.1023/B:FRAC.0000049497.81105.c4
  7. Delale, F. and Erdogan, F. (1983), "The crack problem for a nonhomogeneous plane", J. Appl. Mech., 50(3), 609-614. https://doi.org/10.1115/1.3167098
  8. Eischen, J. (1987), "An improved method for computing the J2 integral", Eng. Fract. Mech., 26(5), 691-700. https://doi.org/10.1016/0013-7944(87)90134-2
  9. Eshraghi, I. and Soltani, N. (2015), "Stress intensity factor calculation for internal circumferential cracks in functionally graded cylinders using the weight function approach", Eng. Fract. Mech., 134, 1-19. https://doi.org/10.1016/j.engfracmech.2014.12.007
  10. Gu, P., Dao, M. and Asaro, R. (1999), "A simplified method for calculating the crack-tip field of functionally graded materials using the domain integral", J. Appl. Mech., 66(1), 101-108. https://doi.org/10.1115/1.2789135
  11. Guo, L.C. and Noda, N. (2007), "Modeling method for a crack problem of functionally graded materials with arbitrary properties-piecewise-exponential model", Int. J. Solid. Struct., 44(21), 6768-6790. https://doi.org/10.1016/j.ijsolstr.2007.03.012
  12. Kim, J.H. and Paulino, G.H. (2002), "Mixed-mode fracture of orthotropic functionally graded materials using finite elements and the modified crack closure method", Eng. Fract. Mech., 69(14), 1557-1586. https://doi.org/10.1016/S0013-7944(02)00057-7
  13. Kim, J.H. and Paulino, G.H. (2002), "Finite element evaluation of mixed mode stress intensity factors in functionally graded materials", Int. J. Numer. Meth. Eng., 53(8), 1903-1935. https://doi.org/10.1002/nme.364
  14. Koizumi, M. (1997), "FGM activities in Japan", Compos. Part B: Eng., 28(1), 1-4. https://doi.org/10.1016/S1359-8368(96)00016-9
  15. Noda, N. (1991), "Thermal stresses in materials with temperature-dependent properties", Appl. Mech. Rev., 44(9), 383-397. https://doi.org/10.1115/1.3119511
  16. Noda, N. (2002), Thermal Stresses, CRC Press, New York, NY, USA.
  17. Ootao, Y. and Ishihara, M. (2013), "Asymmetric transient thermal stress of a functionally graded hollow cylinder with piecewise power law", Struct. Eng. Mech., 47(3), 421-442. https://doi.org/10.12989/sem.2013.47.3.421
  18. Petrova, V. and Sadowski, T. (2014), "Theoretical modeling and analysis of thermal fracture of semi-infinite functionally graded materials with edge cracks", Meccanica, 49(11), 2603-2615. https://doi.org/10.1007/s11012-014-9941-x
  19. Reddy, J. (2000), "Analysis of functionally graded plates", Int. J. Numer. Meth. Eng., 47(1-3), 663-684. https://doi.org/10.1002/(SICI)1097-0207(20000110/30)47:1/3<663::AID-NME787>3.0.CO;2-8
  20. Reddy, J. and Chin, C. (1998), "Thermomechanical analysis of functionally graded cylinders and plates", J. Therm. Stress., 21(6), 593-626. https://doi.org/10.1080/01495739808956165
  21. Rice, J.R. (1968), "A path independent integral and the approximate analysis of strain concentration by notches and cracks", J. Appl. Mech., 35(2), 379-386. https://doi.org/10.1115/1.3601206
  22. Sumi, N. and Sugano, Y. (1997), "Thermally induced stress waves in functionally graded materials with temperature-dependent material properties", J. Therm. Stress., 20(3-4), 281-294. https://doi.org/10.1080/01495739708956103
  23. Touloukian, Y. S., (1967), Thermophysical Properties of High Temperature Solid Materials, Macmillan, London, England.
  24. Yildirim, B. and Erdogan, F. (2004), "Edge crack problems in homogenous and functionally graded material thermal barrier coatings under uniform thermal loading", J. Therm. Stress., 27(4), 311-329. https://doi.org/10.1080/01495730490427564
  25. Yu, H. and Kitamura, T. (2015), "A new domain-independent interaction integral for solving the stress intensity factors of the materials with complex thermo-mechanical interfaces", Eur. J. Mech. A/Solid., 49, 500-509. https://doi.org/10.1016/j.euromechsol.2014.09.007

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