Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites

Research output: Contribution to journalArticle

Abstract

This work analyzes the elastic interaction between two spherical-cap cracks present along the outer surface of a hollow particle embedded in a dissimilar medium under remote uniaxial tensile loading. A semi-analytical approach based on an enriched Galerkin method is adopted to determine stress and deformation fields as functions of particle wall thickness and cracks configuration. The present analysis is limited to multiple interfacial spherical-cap cracks; that is, crack propagation is restrained to the particle-matrix interface and possibility of crack kinking in the matrix is not considered. Interfacial crack growth characteristics, conditions for stable crack propagation, equal crack growth, and shielding are established through energy release rate analysis. The study is relevant to the analysis of tensile and flexural failure of syntactic foams used in marine and aerospace applications. Results specialized to glass-vinyl ester syntactic foams demonstrate that particle wall thickness can be used to control crack stability and growth characteristics as well as tailoring the magnitude of the shielding phenomenon. Predictions are compared to finite element findings for validation and to results for penny-shaped cracks to elucidate the role of crack curvature.

Original languageEnglish (US)
Pages (from-to)1141-1153
Number of pages13
JournalInternational Journal of Solids and Structures
Volume48
Issue number7-8
DOIs
StatePublished - Apr 2011

Fingerprint

spherical caps
hollow
Crack
cracks
Composite
Cracks
composite materials
Composite materials
Interaction
Crack propagation
interactions
Crack Growth
Foam
Crack Propagation
Syntactics
Shielding
Foams
crack propagation
foams
Interfacial Crack

Keywords

  • Crack shielding
  • Debonding
  • Interfacial crack
  • Multiple cracks
  • Strain energy release rate
  • Syntactic foams

ASJC Scopus subject areas

  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Science(all)
  • Condensed Matter Physics
  • Applied Mathematics
  • Modeling and Simulation

Cite this

Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites. / Tagliavia, G.; Porfiri, Maurizio; Gupta, Nikhil.

In: International Journal of Solids and Structures, Vol. 48, No. 7-8, 04.2011, p. 1141-1153.

Research output: Contribution to journalArticle

@article{dd2dfc8256fe451798142f13165c87c4,
title = "Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites",
abstract = "This work analyzes the elastic interaction between two spherical-cap cracks present along the outer surface of a hollow particle embedded in a dissimilar medium under remote uniaxial tensile loading. A semi-analytical approach based on an enriched Galerkin method is adopted to determine stress and deformation fields as functions of particle wall thickness and cracks configuration. The present analysis is limited to multiple interfacial spherical-cap cracks; that is, crack propagation is restrained to the particle-matrix interface and possibility of crack kinking in the matrix is not considered. Interfacial crack growth characteristics, conditions for stable crack propagation, equal crack growth, and shielding are established through energy release rate analysis. The study is relevant to the analysis of tensile and flexural failure of syntactic foams used in marine and aerospace applications. Results specialized to glass-vinyl ester syntactic foams demonstrate that particle wall thickness can be used to control crack stability and growth characteristics as well as tailoring the magnitude of the shielding phenomenon. Predictions are compared to finite element findings for validation and to results for penny-shaped cracks to elucidate the role of crack curvature.",
keywords = "Crack shielding, Debonding, Interfacial crack, Multiple cracks, Strain energy release rate, Syntactic foams",
author = "G. Tagliavia and Maurizio Porfiri and Nikhil Gupta",
year = "2011",
month = "4",
doi = "10.1016/j.ijsolstr.2010.12.017",
language = "English (US)",
volume = "48",
pages = "1141--1153",
journal = "International Journal of Solids and Structures",
issn = "0020-7683",
publisher = "Elsevier Limited",
number = "7-8",

}

TY - JOUR

T1 - Elastic interaction of interfacial spherical-cap cracks in hollow particle filled composites

AU - Tagliavia, G.

AU - Porfiri, Maurizio

AU - Gupta, Nikhil

PY - 2011/4

Y1 - 2011/4

N2 - This work analyzes the elastic interaction between two spherical-cap cracks present along the outer surface of a hollow particle embedded in a dissimilar medium under remote uniaxial tensile loading. A semi-analytical approach based on an enriched Galerkin method is adopted to determine stress and deformation fields as functions of particle wall thickness and cracks configuration. The present analysis is limited to multiple interfacial spherical-cap cracks; that is, crack propagation is restrained to the particle-matrix interface and possibility of crack kinking in the matrix is not considered. Interfacial crack growth characteristics, conditions for stable crack propagation, equal crack growth, and shielding are established through energy release rate analysis. The study is relevant to the analysis of tensile and flexural failure of syntactic foams used in marine and aerospace applications. Results specialized to glass-vinyl ester syntactic foams demonstrate that particle wall thickness can be used to control crack stability and growth characteristics as well as tailoring the magnitude of the shielding phenomenon. Predictions are compared to finite element findings for validation and to results for penny-shaped cracks to elucidate the role of crack curvature.

AB - This work analyzes the elastic interaction between two spherical-cap cracks present along the outer surface of a hollow particle embedded in a dissimilar medium under remote uniaxial tensile loading. A semi-analytical approach based on an enriched Galerkin method is adopted to determine stress and deformation fields as functions of particle wall thickness and cracks configuration. The present analysis is limited to multiple interfacial spherical-cap cracks; that is, crack propagation is restrained to the particle-matrix interface and possibility of crack kinking in the matrix is not considered. Interfacial crack growth characteristics, conditions for stable crack propagation, equal crack growth, and shielding are established through energy release rate analysis. The study is relevant to the analysis of tensile and flexural failure of syntactic foams used in marine and aerospace applications. Results specialized to glass-vinyl ester syntactic foams demonstrate that particle wall thickness can be used to control crack stability and growth characteristics as well as tailoring the magnitude of the shielding phenomenon. Predictions are compared to finite element findings for validation and to results for penny-shaped cracks to elucidate the role of crack curvature.

KW - Crack shielding

KW - Debonding

KW - Interfacial crack

KW - Multiple cracks

KW - Strain energy release rate

KW - Syntactic foams

UR - http://www.scopus.com/inward/record.url?scp=79951675371&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79951675371&partnerID=8YFLogxK

U2 - 10.1016/j.ijsolstr.2010.12.017

DO - 10.1016/j.ijsolstr.2010.12.017

M3 - Article

VL - 48

SP - 1141

EP - 1153

JO - International Journal of Solids and Structures

JF - International Journal of Solids and Structures

SN - 0020-7683

IS - 7-8

ER -