Micromechanical Modeling of Heterogeneous Materials with Irregularly Shaped Pores

Article Preview

Abstract:

An approach to predict the overall mechanical properties of materials containing pores of irregular shapes is described. Micromechanical modeling is performed by evaluating cavity compliance contribution tensors of individual pores [1] which are then used as an input for well-developed homogenization models. The cavity compliance contribution tensor can be found either analytically or numerically depending on the pore geometry and the level of anisotropy of the surrounding material. The results of numerical analysis can be used to compare the ability of differently shaped pores to initiate fracture.

You might also be interested in these eBooks

Info:

Periodical:

Key Engineering Materials (Volumes 488-489)

Pages:

327-330

Citation:

Online since:

September 2011

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] M. Kachanov, I. Tsukrov, B. Shafiro Effective moduli of solids with cavities of various shapes,. Applied Mechanics Reviews, 47 (1994), S151–S174.

DOI: 10.1115/1.3122810

Google Scholar

[2] J.D. Eshelby The determination of the elastic field of an ellipsoidal inclusion and related problems,. Proc. Roy. Soc. Lond. Ser. A, 241 (1957), 376–396.

DOI: 10.1098/rspa.1957.0133

Google Scholar

[3] M. Kachanov, B. Shafiro, I. Tsukrov Handbook of Elasticity Solutions,. Kluwer Academic Publishers, Dordrecht (2003).

DOI: 10.1007/978-94-017-0169-3

Google Scholar

[4] B. Drach et al. Numerical modeling of carbon/carbon composites with nanotextured matrix and 3D pores of irregular shapes,. Int. J. Solids Struct., in press (2011).

DOI: 10.1016/j.ijsolstr.2011.04.021

Google Scholar

[5] R. Hill Elastic properties of reinforced solids: some theoretical principles,. J. Mech. Phys. Solids, 11 (1963), 357–372.

DOI: 10.1016/0022-5096(63)90036-x

Google Scholar

[6] T. Mori, K. Tanaka Average stress in matrix and average energy of materials with misfitting inclusions,. Acta Metall., 21 (1973), 571–574.

DOI: 10.1016/0001-6160(73)90064-3

Google Scholar