journal article·2009-12

Effect of Pore Distribution on Elastic Stiffness and Fracture Toughness of Porous Materials

Marcus Cramer, Igor Sevostianov

International Journal of Fracture· Volume 160· Issue 2
Publisher page

Abstract

The paper focuses on experimental study of the effect of pore distribution on the mechanical properties of aluminum sheets containing multiple holes. Mechanical behavior of materials of uniform microstructure is compared with that of materials containing pore clusters of circular and elliptical shapes. The overall porosity of all specimens was 0.2. All the experiments were repeated 10 times. Our work demonstrates that overall elastic properties are almost insensitive to the actual distribution of pores – uniform or with distinguishable pore clusters. In contrast, fracture toughness of the specimens is strongly affected by the mutual positions of individual pores. Explicit connection between the fracture stress and minimum pore separation is obtained.
Source: openaire · Quality: candidate unverified · Source record ↗

Research context

OpenAlex topics: Composite Material Mechanics · Cellular and Composite Structures · Metal Forming Simulation Techniques

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

References (16)

Show source-provided references
1. Beran M.J. (1968) Statistical Continuum Theories. Wiley, New York
2. Bilger, N., Auslender, F., Bornett, M., Michel, J.–C., Moulinec, H., Suquet, P., & Zaoui, A. (2005). Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis. International Journal of Solids and Structures, 42, 2005, 517–538.10.1016/j.ijsolstr.2004.06.048 ↗
3. Chen X., Papathanasiou T.D. (2004) Interface stress distributions in transversely loaded continuous fiber composites: parallel computation in multi–fiber RVEs using the boundary element method. Composites Science and Technology 64: 1101–111410.1016/j.compscitech.2003.07.006 ↗
4. Gărăjeu M., Suquet P. (2007) On the influence of local fluctuations in volume fraction of constituents on the effective properties of nonlinear composites. Application to porous materials. Journal of the Mechanics and Physics of Solids 55: 842–87810.1016/j.jmps.2006.09.005 ↗
5. Greengard, L. (1988), The Rapid Evaluation of Potential Fields in Particle Systems, MIT Press, Cambridge10.7551/mitpress/5750.001.0001 ↗
6. Kachanov M., Sevostianov I. (2005) on quantitative characterization of microstructures and effective properties. International Journal of Solids and Structures 42: 309–33610.1016/j.ijsolstr.2004.06.016 ↗
7. Markov, K.Z. (2000). Elementary micromechanics of heterogeneous media. In: Heterogeneous Media: Micromechanics Modeling Methods and Simulation, (eds. K.Z. Markov and L. Preziozi), Birkhauser, Boston, 1–162.10.1007/978-1-4612-1332-1_1 ↗
8. Moulinec H., Suquet P. (1994) A fast numerical method for computing the linear and non–linear properties of composites. Comptes Rendus del Academie des Sciences. Serie II 318: 1417–1423
9. Ohno N., Hutchinson J.W. (1984) Plastic Flow Localization Due to Non–Uniform Void Distribution. Journal of the Mechanics and Physics of Solids 32: 63–8510.1016/0022-5096(84)90005-X ↗
10. Quintanilla J., Torquato S. (1997) Microstructure functions for a model of statistically inhomogeneous random media. Physics Review E 55: 1558–156510.1103/PhysRevE.55.1558 ↗
11. Sevostianov, I. and Kushch, V.I. (2009) Effect of pore clusters on the statistics of peak stress and overall properties of porous material. International Journal of Solids and Structures (in press). doi: 10.1016/j.ijsolstr.2009.09.00210.1016/j.ijsolstr.2009.09.002 ↗
12. Sevostianov, I. and Kachanov, M. On the yield condition for anisotropic porous materials. Materials Science and Engineering A, 313, 2001, 1–15.10.1016/S0921-5093(01)01215-1 ↗
13. Sevostianov, I. and Kachanov, M. Plastic yield surfaces of anisotropic porous materials in terms of electric conductivities. Mechanics of Materials, 38, 2006, 908–923.10.1016/j.mechmat.2005.06.023 ↗
14. Suquet P. (2005) On the effect of small fluctuations in the volume fraction of constituents on the effective properties of composites. Comptes Rendus Mecanique 333: 219–22610.1016/j.crme.2004.12.004 ↗
15. Torquato S. (2002) Random Heterogeneous Materials: Microstructure and Macroscopic Properties. Springer–Verlag, New York10.1007/978-1-4757-6355-3 ↗
16. Zohdi T.I., Kachanov M. (2005) A note on the micromechanics of plastic yield of porous solids. International Journal of Fracture/Letters in Micromechanics 133: L31–L3510.1007/s10704-005-7143-1 ↗