Analysis of particle-to-particle elastic interactions in syntactic foams

Gabriele Tagliavia; Maurizio Porfiri; Nikhil Gupta

doi:10.1016/j.mechmat.2011.08.008

Analysis of particle-to-particle elastic interactions in syntactic foams

Gabriele Tagliavia, Maurizio Porfiri, Nikhil Gupta

Mechanical and Aerospace Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

This work analyzes the elastic interaction between a pair of hollow particles embedded in a dissimilar medium subjected to remote uniaxial tensile loading. The Boussinesq-Papkovich stress function approach is combined with a multi-pole series expansion to derive a semi-analytical solution of the Navier-Cauchy equation and determine stress and displacement fields in the inclusions and the surrounding medium. Stress profiles, stress intensification factors, circumferential stress resultants in the particles, and strain energy storage are presented for a broad range of particle wall thicknesses, sizes, and relative inter-particle distances. Results specialized to glass-vinyl ester systems demonstrate that particle wall thicknesses and size distributions can be used to modulate the effects of particle-to-particle interaction on the overall mechanical behavior of syntactic foams.

Original language	English (US)
Pages (from-to)	952-968
Number of pages	17
Journal	Mechanics of Materials
Volume	43
Issue number	12
DOIs	https://doi.org/10.1016/j.mechmat.2011.08.008
State	Published - Dec 2011

Keywords

Homogenization
Multiple inclusions
Particle reinforced composite
Porosity
Syntactic foam

ASJC Scopus subject areas

General Materials Science
Instrumentation
Mechanics of Materials

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10.1016/j.mechmat.2011.08.008

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title = "Analysis of particle-to-particle elastic interactions in syntactic foams",

abstract = "This work analyzes the elastic interaction between a pair of hollow particles embedded in a dissimilar medium subjected to remote uniaxial tensile loading. The Boussinesq-Papkovich stress function approach is combined with a multi-pole series expansion to derive a semi-analytical solution of the Navier-Cauchy equation and determine stress and displacement fields in the inclusions and the surrounding medium. Stress profiles, stress intensification factors, circumferential stress resultants in the particles, and strain energy storage are presented for a broad range of particle wall thicknesses, sizes, and relative inter-particle distances. Results specialized to glass-vinyl ester systems demonstrate that particle wall thicknesses and size distributions can be used to modulate the effects of particle-to-particle interaction on the overall mechanical behavior of syntactic foams.",

keywords = "Homogenization, Multiple inclusions, Particle reinforced composite, Porosity, Syntactic foam",

author = "Gabriele Tagliavia and Maurizio Porfiri and Nikhil Gupta",

note = "Funding Information: This work is supported by the Office of Naval Research Grant N00014-07-1-0419 and N00014-10-1-0988 with Dr. Y. D. S. Rajapakse as the program manager. Views expressed herein are those of authors, and not of the funding agency. The authors thank the Mechanical and Aerospace Engineering Department for the facilities and support provided and ANSYS Inc. for providing reduced price academic licenses. ",

year = "2011",

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doi = "10.1016/j.mechmat.2011.08.008",

language = "English (US)",

volume = "43",

pages = "952--968",

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AU - Tagliavia, Gabriele

AU - Porfiri, Maurizio

AU - Gupta, Nikhil

N1 - Funding Information: This work is supported by the Office of Naval Research Grant N00014-07-1-0419 and N00014-10-1-0988 with Dr. Y. D. S. Rajapakse as the program manager. Views expressed herein are those of authors, and not of the funding agency. The authors thank the Mechanical and Aerospace Engineering Department for the facilities and support provided and ANSYS Inc. for providing reduced price academic licenses.

PY - 2011/12

Y1 - 2011/12

N2 - This work analyzes the elastic interaction between a pair of hollow particles embedded in a dissimilar medium subjected to remote uniaxial tensile loading. The Boussinesq-Papkovich stress function approach is combined with a multi-pole series expansion to derive a semi-analytical solution of the Navier-Cauchy equation and determine stress and displacement fields in the inclusions and the surrounding medium. Stress profiles, stress intensification factors, circumferential stress resultants in the particles, and strain energy storage are presented for a broad range of particle wall thicknesses, sizes, and relative inter-particle distances. Results specialized to glass-vinyl ester systems demonstrate that particle wall thicknesses and size distributions can be used to modulate the effects of particle-to-particle interaction on the overall mechanical behavior of syntactic foams.

AB - This work analyzes the elastic interaction between a pair of hollow particles embedded in a dissimilar medium subjected to remote uniaxial tensile loading. The Boussinesq-Papkovich stress function approach is combined with a multi-pole series expansion to derive a semi-analytical solution of the Navier-Cauchy equation and determine stress and displacement fields in the inclusions and the surrounding medium. Stress profiles, stress intensification factors, circumferential stress resultants in the particles, and strain energy storage are presented for a broad range of particle wall thicknesses, sizes, and relative inter-particle distances. Results specialized to glass-vinyl ester systems demonstrate that particle wall thicknesses and size distributions can be used to modulate the effects of particle-to-particle interaction on the overall mechanical behavior of syntactic foams.

KW - Homogenization

KW - Multiple inclusions

KW - Particle reinforced composite

KW - Porosity

KW - Syntactic foam

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Analysis of particle-to-particle elastic interactions in syntactic foams

Abstract

Keywords

ASJC Scopus subject areas

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