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Coupled Thermo-Mechanical Analysis of Functionally Gradient Weak/Micro-Discontinuous Interface with Graded Finite Element Method

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Abstract

Coupled thermo-mechanical analysis of two bonded functionally graded materials subjected to thermal loads is conducted in this study with the graded finite element method. The thermal-mechanical properties of the bi-material interfaces are classified based on discontinuity degrees of their material properties and their derivatives at the interfaces. Numerical results indicate that discontinuity exerts remarkable effect on the temperature profile and stress value at the interface of two bonded functionally-graded materials. Under the thermal flux loading conditions, the stronger the interface discontinuity is, the smaller the heat flux is.

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References

  1. Tanigawa, Y., Some basic thermoelastic problems for nonhomogeneous structural materials. Applied Mechanics Reviews, 1995, 48: 377–389.

    Article  Google Scholar 

  2. Ootao, Y. and Tanigawa, Y., Three-dimensional transient thermal stresses of functionally graded rectangular plate due to partial heating. Journal of Thermal Stresses, 1999, 22: 35–55.

    Article  Google Scholar 

  3. Ootao, Y. and Tanigawa, Y., Transient thermoelastic problem of functionally graded thick strip due to nonuniform heat supply. Composite Structures, 2004, 63(2): 139–146.

    Article  Google Scholar 

  4. Ootao, Y. and Tanigawa, Y., Two-dimensional thermoelastic analysis of a functionally graded cylindrical panel due to nonuniform heat supply. Mechanics Research Communications, 2005, 32: 429–443.

    Article  Google Scholar 

  5. Vel, S.S. and Batra, R.C., Three-dimensional analysis of transient thermal stresses in functionally graded plates. International Journal of Solids and Structures, 2003, 40: 7181–7196.

    Article  Google Scholar 

  6. Batra, R.C. and Vel, S.S., Exact solution for thermoelastic deformations of functionally graded thick rectangular plates. AIAA Journal, 2002, 40(7): 1421–1433.

    Article  Google Scholar 

  7. Jin, Z.H. and Paulino, G.H., Transient thermal stress analysis of an edge crack in a functionally graded material. International Journal of Fracture, 2001, 107(1): 73–98.

    Article  Google Scholar 

  8. Praveen, G.N. and Reddy, J.N., Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates. International Journal of Solids and Structures, 1998, 35: 4457–4476.

    Article  Google Scholar 

  9. Reddy, J.N. and Chin, C.D., Thermomechanical analysis of functionally graded cylinders and plates. International Journal of Solids and Structures, 1998, 21: 593–626.

    Google Scholar 

  10. Reddy, J.N., Analysis of functionally graded plates. International Journal for Numerical Methods in Engineering, 2000, 47: 663–684.

    Article  Google Scholar 

  11. Ferreira, A.J.M., Batra, R.C., Roque, C.M.C., Qian, L.F. and Martins, P.A.L.S., Static analysis of functionally graded plates using third-order shear deformation theory and a meshless method. Composite Structures, 2005, 69(4): 449–457.

    Article  Google Scholar 

  12. Abd-Alla, A.M., Abd-Alla, A.N. and Zeidan, N.A., Thermal stresses in a non-homogeneous orthotropic elastic multi-layered cylinder. Journal of Thermal Stresses, 2000, 23: 413–428.

    Article  Google Scholar 

  13. Wang, B.L. and Tian, Z.H., Application of finite element-finite difference method to the determination of transient temperature field in functionally graded materials. Finite Elements in Analysis and Design, 2005, 41: 335–349.

    Article  Google Scholar 

  14. Ching, H.K. and Yen, S.C., Transient thermoelastic deformations of 2-D functionally graded beams under nonuniformly convective heat supply. Composite Structures, 2006, 73(4): 381–393.

    Article  Google Scholar 

  15. Sladek, V. and Sladek, J., Computation of thermal stresses in quasi-static non-stationary thermoelasticity using boundary elements. International Journal for Numerical Methods in Engineering, 1989, 28: 1131–1144.

    Article  Google Scholar 

  16. Shao, Z.S. and Ma, G.W., Thermo-mechanical stresses in functionally graded circular hollow cylinder with linearly increasing boundary temperature. Composite Structures, 2008, 83: 259–265.

    Article  Google Scholar 

  17. Li, Y.D., Jia, B., Zhang, N., Tang, L.Q. and Dao, Y., Dynamic stress intensity factor of the weak/micro-discontinuous interface crack of an FGM coating. International Journal of Solids and Structures, 2006, 43: 4795–4809.

    Article  Google Scholar 

  18. Li, Y.D., Tan, W. and Zhang, H.C., Anti-plane transient fracture analysis of the functionally gradient elastic bi-material weak/infinitesimal-discontinuous interface. International Journal of Fracture, 2006, 142: 163–171.

    MATH  Google Scholar 

  19. Li, Y.D., Zhang, H.C. and Tan, W., Fracture analysis of functionally gradient weak/micro-discontinuous interface with finite element method. Computational Materials Science, 2006, 38: 454–458.

    Article  Google Scholar 

  20. Li, Y.D. and Lee, K.Y., An anti-plane crack perpendicular to the weak/micro- discontinuous interface in a bi-FGM structure with exponential and linear non-homogeneities. International Journal of Fracture, 2007, 146: 203–211.

    Article  Google Scholar 

  21. Li, Y.D. and Lee, K.Y., Fracture analysis of a weak-discontinuous interface in a symmetrical functionally gradient composite strip loaded by anti-plane impact. Archive of applied mechanics, 2008, 78: 855–866.

    Article  Google Scholar 

  22. Zhang, H.C., Tan, W. and Li, Y.D., Effect of the transitional gradient of material property on the mechanical behavior of a non-homogeneous interlayer. Computational Materials Science, 2008, 42: 122–129.

    Article  Google Scholar 

  23. Gu, P., Dao, M. and Asaro, R.J., A simplified method for calculating the crack tip field of functionally graded materials using the domain integral. Journal of Applied Mechanics, 1999, 66: 101–108.

    Article  Google Scholar 

  24. Anlas, G., Santare, M.H. and Lambros, J., Numerical calculation of stress intensity factors in functionally graded materials. International Journal of Fracture, 2000, 104(2): 131–143.

    Article  Google Scholar 

  25. Li, H., Lambros, J., Cheeseman, B.A. and Santare, M.H., Experimental investigation of the quasi-static fracture of functionally graded materials. International Journal of Solids and Structures, 2000, 37(27): 3715–3732.

    Article  Google Scholar 

  26. Santare, M.H. and Lambros, J., Use of graded finite elements to model the behavior of nonhomogeneous materials. Journal of Applied Mechanics, 2000, 67: 819–822.

    Article  Google Scholar 

  27. Santare, M.H., Thamburaj, P. and Gazonas, G.A., The use of graded finite elements in the study of elastic wave propagation in continuously nonhomogeneous materials. International Journal of Solids and Structures, 2003, 40: 5621–5634.

    Article  Google Scholar 

  28. Kim, J.H. and Paulino, G.H., Isoparametric graded finite element for nonhomogeneous isotropic and orthotropic materials. Journal of Applied Mechanics, 2002, 69(4): 502–514.

    Article  Google Scholar 

  29. Hetnarski, R.B. and Eslami, M.R., Thermal Stresses-Advanced Theory and Applications. Springer, 2009.

  30. Sutradhar, A. and Paulino, G.H., The simple boundary element method for transient heat conduction in functionally graded materials. Computer Methods in Applied Mechanics and Engineering, 2004, 193: 4511–4539.

    Article  Google Scholar 

  31. Knupp, P. and Salari, K., Verification of Computer Codes in Computational Science and Engineering. CRC Press LLC: Boca Raton, FL, USA, 2002.

    Book  Google Scholar 

  32. Erdogan, F. and Wu, B.H., The surface crack problem for a plate with functionally graded properties. Journal of Applied Mechanics, 1997, 64(3): 449–456.

    Article  Google Scholar 

  33. Buttlar1, W.G., Paulino, G.H. and Song, S.H., Application of graded finite elements for asphalt pavements. Journal of Engineering Mechanics, 2006, 132(3): 240–249.

    Article  Google Scholar 

  34. Zhao, J., Li, Y.Z. and Ai, X., Analysis of transient thermal stress in sandwich plate with functionally graded coatings. Thin Solid Films, 2008, 516: 7581–7587.

    Article  Google Scholar 

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Authors and Affiliations

  1. Key Laboratory of Mechanics on Western Disaster and Environment, Ministry of Education, Lanzhou, P.R. China

    Zhiwen Gao & Youhe Zhou

  2. Department of Mechanics and Engineering Science, College of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, Gansu, 730000, China

    Zhiwen Gao & Youhe Zhou

  3. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China

    Kang Yong Lee

  4. School of Mechanical Engineering, Yonsei University, Seoul, 120-749, Republic of Korea

    Zhiwen Gao & Kang Yong Lee

Authors
  1. Zhiwen Gao
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  2. Kang Yong Lee
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  3. Youhe Zhou
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Correspondence to Kang Yong Lee.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 10902046, 11032006 and 11121202), the Fundamental Research Funds for the Central Universities (lzujbky-2012-2), the Fund of Ministry of Education of the Program of Changjiang Scholars and Innovative Research Team in University (No. IRT0628) and the Science Foundation of the Ministry of Education of China for Ph. D. program.

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Gao, Z., Lee, K.Y. & Zhou, Y. Coupled Thermo-Mechanical Analysis of Functionally Gradient Weak/Micro-Discontinuous Interface with Graded Finite Element Method. Acta Mech. Solida Sin. 25, 331–341 (2012). https://doi.org/10.1016/S0894-9166(12)60030-5

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  • DOI: https://doi.org/10.1016/S0894-9166(12)60030-5

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