A Multiscale Framework for Elastic Deformation of Functionally Graded Composites

Article Preview

Abstract:

A micromechanics-based elastic model is developed for two-phase functionally graded composites with locally pair-wise particle interactions. In the gradation direction, there exist two microstructurally distinct zones: particle-matrix zone and transition zone. In the particle-matrix zone, the homogenized elastic fields are obtained by integrating the pair-wise interactions from all other particles over the representative volume element. In the transition zone, a transition function is constructed to make the homogenized elastic fields continuous and differentiable in the gradation direction. The averaged elastic fields are solved for transverse shear loading and uniaxial loading in the gradation direction.

You might also be interested in these eBooks

Info:

Periodical:

Materials Science Forum (Volumes 492-493)

Pages:

391-396

Citation:

Online since:

August 2005

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2005 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Y. Miyamoto, W.A. Kaysser, B.H. Rabin, A. Kawasaki and R.G. Ford: Functionally graded materials: design, processing and applications (Kluwer Academic Publishers, 1999).

DOI: 10.1007/978-1-4615-5301-4_7

Google Scholar

[2] G.H. Paulino, Z.H. Jin and R.H. Dodds. Comprehensive structural integrity (B. Karihaloo and W.G. Knauss, editors. ), Vol. 2 (2003), p.607.

Google Scholar

[3] J. Aboudi, M. -J. Pindera and S.M. Arnold: Composites Part B Vol. 30 (1999), p.777.

Google Scholar

[4] T. Mori and K. Tanaka: Acta Metall. Vol. 21 (1973), p.571.

Google Scholar

[5] R. Hill: J. Mech. Phys. Solids Vol. 13 (1965), p.213.

Google Scholar

[6] B. Budiansky: J. Mech. Phys. Solids Vol. 13 (1965), p.223.

Google Scholar

[7] J.W. Ju and T.M. Chen: Acta Mech. Vol. 103 (1994), p.123.

Google Scholar

[8] T. Hirano, J. Teraki and T. Yamada: SMiRT 11 Transactions Vol. SD1 (1991), p.49.

Google Scholar

[9] T. Reiter and G.J. Dvorak: J. Mech. Phys. Solids Vol. 46 (1998), p.1655.

Google Scholar

[10] J.R. Zuiker and G.J. Dvorak: Compos. Eng. Vol. 4 (1994), p.19.

Google Scholar

[11] H.M. Yin, L.Z. Sun and G.H. Paulino: Acta Mater. Vol. 52 (2004), p.3535.

Google Scholar

[12] T. Reiter, G.J. Dvorak and V. Tvergaard: J. Mech. Phys. Solids Vol. 45 (1997), p.1281.

Google Scholar

[13] J.K. Percus and G.J. Yevick: Phys. Rev. Vol. 110 (1958), p.1.

Google Scholar