TY - JOUR
T1 - A critical evaluation of micromechanical models for syntactic foams
AU - Bardella, Lorenzo
AU - Sfreddo, Alessandro
AU - Ventura, Carlo
AU - Porfiri, Maurizio
AU - Gupta, Nikhil
N1 - Funding Information:
This work has been supported in part by the Italian Ministry of Education, University, and Research (MIUR) and in part by the Office of Naval Research Grant N00014-10-1-0988 with Dr. Y.D.S. Rajapakse as the program manager. A. Sfreddo and C. Ventura thank the H2CU Center for the financial support of their stay at the Polytechnic Institute of New York University. Dr. Aleksandar Donev is gratefully acknowledged for having provided the code for generating the syntactic foam microstructure used in the finite element analyses. Prof. Lucia Gastaldi and Dr. Alessandro Giacomini are acknowledged for helpful discussions. The FE code ANSYS has been run at the Polytechnic Institute of New York University under academic license.
PY - 2012/7
Y1 - 2012/7
N2 - The purpose of this work is the accurate prediction of the effective elastic moduli of syntactic foams, for arbitrary selection of the volume fraction and material for the matrix and the filler (made up of hollow spheres called balloons). Hence, we develop a series of three-dimensional finite element models, each including 50 balloons, for a wide range of geometric and material properties. This allows us to garner accurate reference data to ascertain the quality of the predictions of theoretical models available in the literature. In particular, we compare the Composite Sphere-based Self-Consistent estimate originally proposed by Hervé and Pellegrini [Hervé, E.; Pellegrini, O.; 1995. The elastic constants of a material containing spherical coated holes. Arch. Mech. 47, 223-246] and further developed by Bardella and Genna [Bardella, L.; Genna, F.; 2001. On the elastic behaviour of syntactic foams. Int. J. Solids Struct. 38, 7235-7260] with the Hollow Inclusion-based Differential Self-Consistent estimate recently proposed by Porfiri and Gupta [Porfiri, M.; Gupta, N.; 2009. Effect of volume fraction and wall thickness on the elastic properties of hollow particle filled composites. Compos. Part B - Eng. 40, 166-173]. We also discuss the results on the basis of (i) a novel Composite Sphere-based Differential Self-Consistent estimate, (ii) both rigorous and Composite Sphere-based bounds, and (iii) a re-derivation of the Hollow Inclusion-based Differential Self-Consistent estimate coherent with classical and Morphologically Representative Pattern-based homogenisation procedures considered in this work.
AB - The purpose of this work is the accurate prediction of the effective elastic moduli of syntactic foams, for arbitrary selection of the volume fraction and material for the matrix and the filler (made up of hollow spheres called balloons). Hence, we develop a series of three-dimensional finite element models, each including 50 balloons, for a wide range of geometric and material properties. This allows us to garner accurate reference data to ascertain the quality of the predictions of theoretical models available in the literature. In particular, we compare the Composite Sphere-based Self-Consistent estimate originally proposed by Hervé and Pellegrini [Hervé, E.; Pellegrini, O.; 1995. The elastic constants of a material containing spherical coated holes. Arch. Mech. 47, 223-246] and further developed by Bardella and Genna [Bardella, L.; Genna, F.; 2001. On the elastic behaviour of syntactic foams. Int. J. Solids Struct. 38, 7235-7260] with the Hollow Inclusion-based Differential Self-Consistent estimate recently proposed by Porfiri and Gupta [Porfiri, M.; Gupta, N.; 2009. Effect of volume fraction and wall thickness on the elastic properties of hollow particle filled composites. Compos. Part B - Eng. 40, 166-173]. We also discuss the results on the basis of (i) a novel Composite Sphere-based Differential Self-Consistent estimate, (ii) both rigorous and Composite Sphere-based bounds, and (iii) a re-derivation of the Hollow Inclusion-based Differential Self-Consistent estimate coherent with classical and Morphologically Representative Pattern-based homogenisation procedures considered in this work.
KW - Effective elastic properties
KW - Finite element method
KW - Morphologically Representative Pattern
KW - Numerical Homogenisation
KW - Self-Consistent scheme
KW - Syntactic foam
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U2 - 10.1016/j.mechmat.2012.02.008
DO - 10.1016/j.mechmat.2012.02.008
M3 - Article
AN - SCOPUS:84859492983
SN - 0167-6636
VL - 50
SP - 53
EP - 69
JO - Mechanics of Materials
JF - Mechanics of Materials
ER -