Parametric formulation of the finite-volume theory for functionally graded materials - Part II: Numerical results

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 5, 2007, Pages 946-957

  Cavalcante, Mareio A A ^a   Marques, Severino P C ^a   Pindera, Marek Jerzy ^b  

^a FEDERAL UNIVERSITY OF ALAGOAS   (Brazil)

^b University of Virginia   (United States)

Author keywords

Finite volume theory; Functionally graded materials; Parametric formulation

Indexed keywords

CURVED BOUNDARIES; GRADED CURVED STRUCTURAL COMPONENTS; QUADRILATERAL SUBCELLS; SINGLE INCLUSION EMBEDDED;

FINITE VOLUME METHOD; MICROSTRUCTURE; PARAMETRIC DEVICES; THERMOELASTICITY; THERMOMECHANICAL TREATMENT;

FUNCTIONALLY GRADED MATERIALS;

EID: 35348813688     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2722313     Document Type: Article

References (18)

1. Bansal, Y., and Pindera, M-J., 2003, "Efficient Reformulation of the Thermoelastic Higher-Order Theory for FGMs," J. Therm. Stresses, 26(11/12), pp. 1055-1092;
2. see also NASA CR 2002-211909, November 2002.
3. Zhong, Y., Bansal, Y., and Pindera, M-J., 2004, "Efficient Reformulation of the Thermal Higher-Order Theory for FGM's With Variable Thermal Conductivity," Int. J. Comput. Eng. Sci., 5(4), pp. 795-831;
4. see also NASA CR 2002-211910, November 2002.
5. Pindera, M-J., Bansal, Y., and Zhong, Y., 2004, "Finite-Volume Direct Averaging Theory for Functionally Graded Materials (FVDAT-FGM)," NASA Disclosure of Invention and New Technology Form 1679, September, 14, 2004.
6. Cavalcante, M. A. A., 2006, "Modeling of the Transient Thermo-Mechanical Behavior of Composite Material Structures by the Finite-Volume Theory," M.S. thesis, Civil Engineering Department, Federal University of Alagoas, Maceio, Alagoas, Brazil.
7. Sutradhar, A., Paulino, G. H., and Gray, L. J., 2002, "Transient Heat Conduction in Homogeneous and Non-Homogeneous Materials by the Laplace Transform Galerkin Boundary Element Method," Eng. Anal. Boundary Elem., 26, pp. 119-132.
8. Paulino, G. H., 2002, "Fracture of Functionally Graded Materials," Eng. Fract. Mech., 69(14-16), pp. 1519-1812.
9. Eshelby, J. D., 1957, "The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems," Proc. R. Soc. London, Ser. A, 241, pp. 376-396.
10. Jabbari, M., Sohrabpour, S., and Eslami, M. R., 2002, "Mechanical and Thermal Stresses in a Functionally Graded Hollow Cylinder Due to Radially Symmetric Loads," Int. J. Pressure Vessels Piping, 79, pp. 493-497.
11. Arnold, S. M., Bednarcyk, B. A., and Aboudi, J., 2004, "Analysis of Internally Cooled Structures Using a Higher-Order Theory," Comput. Struct., 26, pp. 659-688.
12. Aboudi, J., Pindera, M-J., and Arnold, S. M., 1999, "Higher-Order Theory for Functionally Graded Materials," Composites, Part B, 30(8), pp. 777-832.
13. Timoshenko, S. P., and Goodier, J. N., 1951, Theory of Elasticity, McGrawHill, New York.
14. Carslaw, H. S., and Jaeger, J. C., 1959, Conduction of Heat In Solids, Clarendon, Oxford.
15. Dugdale, D. S., and Ruiz, C., 1971, Elasticity for Engineers, McGraw-Hill, London.
16. Pagano, N. J., and Yuan, F. C., 2000, "The Significance of Effective Modulus Theory (Homogenization) in Composite Laminate Mechanics," Compos, Sci. Technol., 60, pp, 2471-2488.
17. Lipton, R. P., 2003, "Assessment of the Local Stress State Through Macroscopic Variables," Philos. Trans. R. Soc. London, Ser. A, 361, pp. 921-946.
18. Kim, J. H., and Paulino, C., H., 2002, "Isoparametric Graded Finite Elements for Nonhomogeneous Isotropic and Orthotropic Materials," J. Appl. Mech., 69(4), pp. 502-514.