Modeling of the Pore Shape Effect of the Plastic Behavior of Porous Materials
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https://doi.org/10.59287/ijanser.367Keywords:
Lotus-Type Porous Materials, Plastic Behavior, Tangent Modulus, Shape Effect, Numerical HomogenizationAbstract
Lotus-type porous materials are characterized by cylindrical porosities aligned along a single direction, giving them transverse isotropic behaviour with two independent effective properties. The first is a pore-parallel property that can be estimated by a simple law of mixtures. The second property, perpendicular to the pores, requires a homogenization calculation for its determination. The main purpose of this work is to estimate the effective tangent modulus of these materials by numerical homogenization based on the representative volume element. A formula allowing the estimation of the effective tangent modulus is proposed on the basis of the obtained numerical results which have shown that the shape of the pores has a great influence on the effective property studied. Its validation is ensured by its comparison with the various numerical results.
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References
Nakajima H. Fabrication, properties and application of porous metals with directional pores. Progress in Materials Science 2007, 52(7), 1091-1173.
Du H, Qi J. Z., Wu J. X., Du S. Q., Xiong T. Y. Structure of porous copper fabricated by unidirectional solidification under pressurized hydrogen. In Materials Science Forum 2010, Vol. 654, pp. 1030-1033. Trans Tech Publications Ltd.
Iio Y, Ide T, Nakajima H. Effect of Transfer Velocity on Porosity of Lotus-type Porous Aluminum Fabricated by Continuous Casting Technique. In Materials Science Forum 2010, (Vol. 658, pp. 211-214). Trans Tech Publications Ltd.
Hyun S. K., Murakami K, Nakajima H. Anisotropic mechanical properties of porous copper fabricated by unidirectional solidification, Materials Science and Engineering : A 2001, 299(1), 241-248.
Ichitsubo T, Tane M, Ogi H, Hirao M, Ikeda T, Nakajima H. Anisotropic elastic constants of lotus-type porous copper: measurements and micromechanics modeling. Acta materialia 2002, 50(16), 4105-4115.
Hyun S. K., Nakajima H. Anisotropic compressive properties of porous copper produced by unidirectional solidification. Materials Science and Engineering: A 2003, 340(1-2), 258-264.
Tane M, Ichitsubo T, Hirao M, Ikeda T, Nakajima H. Elastic constants of lotus-type porous magnesium: Comparison with effective-mean-field theory. Journal of applied physics 2004, 96(7), 3696-3701.
Tane M, Ichitsubo T, Nakajima H, Hyun S. K., Hirao M. Elastic properties of lotus-type porous iron: acoustic measurement and extended effective-mean-field theory. Acta Materialia 2004, 52(17), 5195-5201.
Hyun S. K., Ikeda T. and Nakajima H. Fabrication of lotus-type porous iron and its mechanical properties, Science and Technology of Advanced Materials 2004, 5(1), 201-205.
Xie Z. K., Hyun S. K., Okuda Y, Nakajima H. Measurement and analysis of vibration damping capacity of lotus-type porous magnesium. In Materials science forum 2006, (Vol. 512, pp.325-330). Trans Tech Publications Ltd.
Zaijiu L, Tianwu Y, Qinglin J, Yehua J, Rong Z. Influence of structural parameters on tensile property of gasar porous copper. Rare Metal Materials and Engineering 2014, 43(11), 2609-2613
Liu X, Li Y, Zhang H, Liu Y, Chen X. Effect of pore structure on heat transfer performance of lotus-type porous copper heat sink. International Journal of Heat and Mass Transfer, 144, 118641.
Chen F, Sevostianov I, Giraud A, Grgic D. Evaluation of the effective elastic and conductive properties of a material containing concave pores. International Journal of Engineering Science 2015, 97, 60-68.
Kaddouri W, El Moumen A, Kanit T, Madani S, Imad A. On the effect of inclusion shape on effective thermal conductivity of heterogeneous materials. Mechanics of Materials 2016, 92, 28-41.
Masmoudi M, Kaddouri W, Kanit T, Madani S, Ramtani S, Imad A. Modeling of the effect of the void shape on effective ultimate tensile strength of porous materials: Numerical homogenization versus experimental results. International Journal of Mechanical Sciences 2017, 130, 497-507
Nakajima H, Porous metals with directional pores, Springer 2013
Boccaccini, A. R., Ondracek, G., & Mombello, E. (1996). Determination of stress concentration factors in porous materials. Journal of materials science letters, 15(6), 534-536.
Bourih A, Kaddouri W, Kanit T, Madani S, Imad, A. Effective yield surface of porous media with random overlapping identical spherical voids. Journal of materials research and technology 2018, 7(2), 103-117.
