Higher-order theory for functionally graded materials

Composites Part B: Engineering

Volumn 30, Issue 8, 1999, Pages 777-832

  Aboudi, J ^a   Pindera, M J ^b   Arnold, S M ^c  

^a TEL AVIV UNIVERSITY   (Israel)

^b UNIVERSITY OF VIRGINIA   (United States)

^c NASA GLENN RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPOSITE MICROMECHANICS; INTERFACES (MATERIALS); MICROSTRUCTURE;

FUNCTIONALLY GRADED MATERIALS;

COMPOSITE MATERIALS;

EID: 0033327727     PISSN: 13598368     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-8368(99)00053-0     Document Type: Article

References (60)

1. Hirai T. Functional gradient materials. Brook R.J. Processing of ceramics - Part 2. 1996;293-341 VCH Verlagsgesellschaft mbH Publishers, Weinheim, Germany.
2. Ilschner B., Cherradi N. FGM 94, Proceedings of the Third International Symposium on Structural and Functional Gradient Materials. 1995;Presses Polytechniques et Universitaires Romandes, Lausanne, Switzerland.
3. Needleman A, Suresh S, editors. Mechanics and physics of layered and graded materials. J Mech Phys Solids 1996;44(5).
4. Pindera M-J, Arnold SM, Aboudi J, Hui D, editors. Use of composites in functionally graded materials. Composites Engineering 1994;4(1).
5. Pindera M-J, Aboudi J, Arnold SM, Jones WF, editors. Use of composites in multi-phased and functionally graded materials. Composites Engineering 1995;5(7).
6. Pindera M-J, Aboudi J, Glaeser A, Arnold SM, editors. Use of composites in multi-phased and functionally graded materials. Composites Part B, Engineering 1997;28(1/2).
7. Shiota I., Miyamoto Y. Functionally graded materials 1996. Proceedings of the Fourth International Symposium on Functionally Graded Materials. 1997;Elsevier, Amsterdam.
8. Jian C.Y., Hashida T., Takahashi H., Saito M. Thermal shock and fatigue resistance evaluation of functionally graded coatings for gas turbine blades by laser heating method. Composites Engineering. 5:(7):1995;879-889.
9. Kawasaki A., Watanabe R. Evaluation of thermomechanical performance for thermal barrier type of sintered functionally graded materials. Composites Part B, Engineering. 28:(1/2):1997;29-35.
10. Drake J.T., Williamson R.L., Rabin B.H. Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces. Part II. Interface optimization for residual stress reduction. J Appl Phys. 74:(2):1993;1321-1326.
11. Williamson R.L., Rabin B.H., Drake J.T. Finite element analysis of thermal residual stresses at graded ceramic-metal interfaces. Part I. Model description and geometrical effects. J Appl Phys. 74:(2):1993;1310-1320.
12. Williamson R.L., Rabin B.H., Byerly G.E. FEM study of the effects of interlayers and creep in reducing residual stresses and strains in ceramic-metal joints. Composites Engineering. 5:(7):1995;851-863.
13. Erdogan F. Fracture mechanics of functionally graded materials. Composites Engineering. 5:(7):1995;753-770.
14. Koizumi M. FGM activities in Japan. Composites Part B, Engineering. 28:(1/2):1997;1-4.
15. Watari F., Yokoyama A., Saso F., Uo M., Kawasaki T. Fabrication and properties of functionally graded dental implant. Composites Part B, Engineering. 28:(1/2):1997;5-11.
16. Nogata F., Takahashi H. Intelligent functionally graded material: bamboo. Composites Engineering. 5:(7):1995;743-751.
17. Amada S., Ichikawa Y., Munekata T., Nagase Y., Shimizu H. Fiber texture and mechanical graded structure of bamboo. Composites Part B, Engineering. 28:(1/2):1997;13-20.
18. Hill R. Elastic properties of reinforced solids: some theoretical principles. J Mech Phys Solids. 11:1963;357-372.
19. Pindera M.-J., Aboudi J., Arnold S.M. Thermo-inelastic analysis of functionally graded materials: inapplicability of the classical micromechanics approach. Voyiadjis G.Z., Ju J.W. Inelasticity and micromechanics of metal matrix composites. 1994;273-305 Elsevier, Amsterdam.
20. Pindera M.-J., Aboudi J., Arnold S.M. Limitations of the uncoupled, RVE-based micromechanical approach in the analysis of functionally graded composites. Mechanics of Materials. 20:(1):1995;77-94.
21. Aboudi J, Pindera M-J, Arnold SM. Thermoelastic response of large-diameter fiber metal matrix composites to thermal gradients. NASA TM 106344, NASA-Lewis Research Center, Cleveland, OH, 1993.
22. Aboudi J., Arnold S.M., Pindera M-J. Response of functionally graded composites to thermal gradients. Composites Engineering. 4:(1):1994;1-18.
23. Aboudi J., Pindera M-J., Arnold S.M. Elastic response of metal matrix composites with tailored microstructures to thermal gradients. Int J Solids Struct. 31:(10):1994;1393-1428.
24. Pindera M-J., Dunn P. Evaluation of the higher-order theory for functionally graded materials via the finite-element method. Composites Part B, Engineering. 28:(1/2):1997;109-119. see also: NASA CR 195544, NASA-Lewis Research Center, Cleveland, OH, May 1995.
25. Goldberg R.K., Hopkins D.A. Thermal analysis of a functionally graded material subject to a thermal gradient using the boundary element method. Composites Engineering. 5:(7):1995;793-806.
26. Aboudi J., Pindera M-J., Arnold S.M. Thermo-inelastic response of functionally graded composites. Int J Solids Struct. 32:(12):1995;1675-1710.
27. Aboudi J., Pindera M-J., Arnold S.M. A coupled higher-order theory for functionally graded composites with partial homogenization. Composites Engineering. 5:(7):1995;771-792.
28. Aboudi J., Pindera M-J., Arnold S.M. Microstructural optimization of functionally graded composites subjected to a thermal gradient via the coupled higher-order theory. Composites Part B, Engineering. 28:(1/2):1997;93-108.
29. DOT User's Manual, Version 4.00, VMA Engineering, Vanderplaats, Miura & Associates, Inc., Goleta, CA, 1993.
30. Aboudi J., Pindera M-J., Arnold S.M. Thermoelastic theory for the response of materials functionally graded in two directions. Int J Solids Struct. 33:(7):1996;931-966.
31. Aboudi J., Pindera M-J., Arnold S.M. Thermoplasticity theory for bidirectionally functionally graded materials. J Thermal Stresses. 19:1996;809-861.
32. Pindera M.-J., Aboudi J., Arnold S.M. Microstructural effects in functionally graded thermal barrier coatings. Shiota I., Miyamoto Y. Functionally graded materials. 1997;113-121 Elsevier, Amsterdam.
33. Pindera M-J., Aboudi J., Arnold S.M. Thermomechanical analysis of functionally graded thermal barrier coatings with different microstructural scales. J Am Ceram Soc. 81:(6):1998;1525-1536.
34. Pindera M.-J., Aboudi J., Arnold S.M. Recent advances in the mechanics of functionally graded composites. Thornton E.A. Aerospace thermal structures and materials for a new era. Progress in Astronautics and Aeronautics. 168:1995;181-203 American Institute of Aeronautics and Astronautics Inc, Washington, DC.
35. Pindera M.-J., Aboudi J., Arnold S.M. Higher-order theory for the analysis of functionally graded materials. Haddad Y.M. Advanced multilayered and fiber-reinforced composites. 1998;111-132 Kluwer Academic, Dordrecht.
36. Paley M., Aboudi J. Micromechanical analysis of composites by the generalized cells model. Mechanics of Materials. 14:1992;127-139.
37. Aboudi J. Micromechanical analysis of thermo-inelastic multiphase short-fiber composites. Composites Engineering. 5:(7):1995;839-850.
38. Aboudi J. Mechanics of composite materials - a unified micromechanical approach. 1991;Elsevier, Amsterdam.
39. Hollister S.J., Kikuchi N. A comparison of homogenization and standard mechanics analyses for periodic porous composites. Comp Mech. 10:1992;73-95.
40. Hornung U. Homogenization and porous media. 1997;Springer, Berlin.
41. Pagano N.J. The role of effective moduli in the elastic analysis of composite laminates. Sendecky G.P. Composite materials. Volume III: Mechanics of composite materials. 1974;1-22 Academic Press, New York.
42. Huet C. Application of variational concepts to size effects in elastic heterogeneous bodies. J Mech Phys Solids. 38:(6):1990;813-841.
43. Ostoja-Starzewski M., Schulte J. Bounding of effective thermal conductivities of multiscale materials by essential and natural boundary conditions. Phys Rev B. 54:1996;278-285.
44. Ostoja-Starzewski M., Jasiuk I., Wang W., Alzebdeh K. Composites with functionally graded interfaces: meso-continuum concept and effective properties. Acta Mater. 44:(5):1996;2057-2066.
45. Ostoja-Starzewski M. Random field models of heterogeneous materials. Int J Solids Struct. 35:(19):1998;2429-2455.
46. Mendelson A. Plasticity: theory and applications. 1983;Robert E. Krieger Publishing Company, Malabar, FL. reprint edition.
47. Pindera M-J., Freed A.D., Arnold S.M. Effects of fiber and interfacial layer morphologies on the thermoplastic response of metal matrix composites. Int J Solids Struct. 30:(9):1993;1213-1238.
48. Pindera M-J., Salzar R.S., Williams T.O. An evaluation of a new approach for the thermoplastic response of metal-matrix composites. Composites Engineering. 3:(12):1993;1185-1201.
49. Williams T.O., Pindera M.-J. Convergence rates of the method of successive elastic solutions in thermoplastic problems of a layered concentric cylinder. Galloway R.G., Lokaj S. Engineering, construction, and operations in SPACE IV. 1994;348-357 ASCE, New York.
50. Herakovich C.T. Mechanics of fibrous composites. 1998;Wiley, New York.
51. ABAQUS User's Guide, v4.8, Hibbitt, Karlsson and Sorensen, Inc., Pawtucket, RI, 1989.
52. Herakovich C.T. On the thermal edge effects in composite laminates. Int J Mech Sci. 18:1976;129-134.
53. Rybicki EF, Pagano NJ. A study of the influence of microstructure on the modified effective modulus approach for composite laminates. International Conference on Composite Materials, Boston, Massachusetts, 7-11 April 1975. See also: Reddy JN, editor. Mechanics of composite materials: selected works by Nicholas J. Pagano. Dordrecht: Kluwer Academic, 1994.
54. Rybicki EF, Pagano NJ. A study of the influence of microstructure on the modified effective modulus approach for composite laminates. International Conference on Composite Materials, Boston, Massachusetts, 7-11 April 1975. See also: Reddy JN, editor. Mechanics of composite materials: selected works by Nicholas J. Pagano. Dordrecht: Kluwer Academic, 1994.
55. Kokini K., Takeuchi Y.R., Choules B.B. Surface thermal cracking of thermal barrier coating owing to stress relaxation: zirconia vs mullite. Surface and Coatings Technol. 82:1996;77-82.
56. Vanderplaats G.N. Numerical optimization techniques for engineering design with applications. 1984;McGraw-Hill, New York.
57. MacKay R.A. Effect of fiber spacing on interfacial damage in a metal matrix composite. Scripta Metallurgica et Materialia. 24:1990;167-172.
58. Pindera M-J, Aboudi J. HOTCFGM-1D: a coupled higher-order theory for cylindrical structural components with through-thickness functionally graded microstructures. NASA Contractor Report 207927, NASA-Lewis Research Center, Cleveland, OH, 1998.
59. Bodner S.R. Review of a unified elastic-viscoplastic theory. Miller A.K. Unified constitutive equations for creep and plasticity. 1987;273-301 Elsevier, Amsterdam.
60. Williams T.O., Pindera M-J. An analytical model for the inelastic axial shear response of unidirectional metal matrix composites. Int J Plasticity. 13:(3):1997;261-289.