The Mori-Tanaka method for composite materials with nonlinear interface debonding

H. Tan*, Y. Huang, C. Liu, P. H. Geubelle

*Corresponding author for this work

Research output: Contribution to journalArticle

124 Citations (Scopus)

Abstract

We have used the Mori-Tanaka method to study the effect of nonlinear interface debonding on the constitutive behavior of composite material with high particle volume fraction. The interface debonding is characterized by a nonlinear cohesive law determined from the fracture test of the high explosive PBX 9501. Using the example of the composite material with spherical particles subject to hydrostatic tension, we show that the particle size has an important effect on the behavior of the composite material, namely hardening for small particles and softening for large particles. The critical particle size that separates the hardening and softening behavior of the composite material is determined. For the composite material with large particles, the particle/matrix interface may undergo catastrophic debonding, i.e., sudden, dynamic debonding even under static load. The energy release during catastrophic debonding can be very large, thus may trigger the reaction or detonation of high explosives. For the high explosive PBX 9501, the energy release due to catastrophic debonding of coarse (large) particles is equivalent to the free drop of the high explosive from a height of 110 m. This value become much higher, 455 m, once the debonding of fine (small) particle is accounted for.

Original languageEnglish (US)
Pages (from-to)1890-1918
Number of pages29
JournalInternational journal of plasticity
Volume21
Issue number10
DOIs
StatePublished - Oct 1 2005

Fingerprint

Debonding
Composite materials
Private telephone exchanges
Hardening
Particle size
Detonation
Volume fraction

Keywords

  • Interfacial debonding
  • Micromechanics
  • Nonlinear behavior
  • Particulate reinforced material
  • Size effects

ASJC Scopus subject areas

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{df5596cf3c914dc89e59a217a4ec7d15,
title = "The Mori-Tanaka method for composite materials with nonlinear interface debonding",
abstract = "We have used the Mori-Tanaka method to study the effect of nonlinear interface debonding on the constitutive behavior of composite material with high particle volume fraction. The interface debonding is characterized by a nonlinear cohesive law determined from the fracture test of the high explosive PBX 9501. Using the example of the composite material with spherical particles subject to hydrostatic tension, we show that the particle size has an important effect on the behavior of the composite material, namely hardening for small particles and softening for large particles. The critical particle size that separates the hardening and softening behavior of the composite material is determined. For the composite material with large particles, the particle/matrix interface may undergo catastrophic debonding, i.e., sudden, dynamic debonding even under static load. The energy release during catastrophic debonding can be very large, thus may trigger the reaction or detonation of high explosives. For the high explosive PBX 9501, the energy release due to catastrophic debonding of coarse (large) particles is equivalent to the free drop of the high explosive from a height of 110 m. This value become much higher, 455 m, once the debonding of fine (small) particle is accounted for.",
keywords = "Interfacial debonding, Micromechanics, Nonlinear behavior, Particulate reinforced material, Size effects",
author = "H. Tan and Y. Huang and C. Liu and Geubelle, {P. H.}",
year = "2005",
month = "10",
day = "1",
doi = "10.1016/j.ijplas.2004.10.001",
language = "English (US)",
volume = "21",
pages = "1890--1918",
journal = "International Journal of Plasticity",
issn = "0749-6419",
publisher = "Elsevier Limited",
number = "10",

}

The Mori-Tanaka method for composite materials with nonlinear interface debonding. / Tan, H.; Huang, Y.; Liu, C.; Geubelle, P. H.

In: International journal of plasticity, Vol. 21, No. 10, 01.10.2005, p. 1890-1918.

Research output: Contribution to journalArticle

TY - JOUR

T1 - The Mori-Tanaka method for composite materials with nonlinear interface debonding

AU - Tan, H.

AU - Huang, Y.

AU - Liu, C.

AU - Geubelle, P. H.

PY - 2005/10/1

Y1 - 2005/10/1

N2 - We have used the Mori-Tanaka method to study the effect of nonlinear interface debonding on the constitutive behavior of composite material with high particle volume fraction. The interface debonding is characterized by a nonlinear cohesive law determined from the fracture test of the high explosive PBX 9501. Using the example of the composite material with spherical particles subject to hydrostatic tension, we show that the particle size has an important effect on the behavior of the composite material, namely hardening for small particles and softening for large particles. The critical particle size that separates the hardening and softening behavior of the composite material is determined. For the composite material with large particles, the particle/matrix interface may undergo catastrophic debonding, i.e., sudden, dynamic debonding even under static load. The energy release during catastrophic debonding can be very large, thus may trigger the reaction or detonation of high explosives. For the high explosive PBX 9501, the energy release due to catastrophic debonding of coarse (large) particles is equivalent to the free drop of the high explosive from a height of 110 m. This value become much higher, 455 m, once the debonding of fine (small) particle is accounted for.

AB - We have used the Mori-Tanaka method to study the effect of nonlinear interface debonding on the constitutive behavior of composite material with high particle volume fraction. The interface debonding is characterized by a nonlinear cohesive law determined from the fracture test of the high explosive PBX 9501. Using the example of the composite material with spherical particles subject to hydrostatic tension, we show that the particle size has an important effect on the behavior of the composite material, namely hardening for small particles and softening for large particles. The critical particle size that separates the hardening and softening behavior of the composite material is determined. For the composite material with large particles, the particle/matrix interface may undergo catastrophic debonding, i.e., sudden, dynamic debonding even under static load. The energy release during catastrophic debonding can be very large, thus may trigger the reaction or detonation of high explosives. For the high explosive PBX 9501, the energy release due to catastrophic debonding of coarse (large) particles is equivalent to the free drop of the high explosive from a height of 110 m. This value become much higher, 455 m, once the debonding of fine (small) particle is accounted for.

KW - Interfacial debonding

KW - Micromechanics

KW - Nonlinear behavior

KW - Particulate reinforced material

KW - Size effects

UR - http://www.scopus.com/inward/record.url?scp=18844394488&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=18844394488&partnerID=8YFLogxK

U2 - 10.1016/j.ijplas.2004.10.001

DO - 10.1016/j.ijplas.2004.10.001

M3 - Article

VL - 21

SP - 1890

EP - 1918

JO - International Journal of Plasticity

JF - International Journal of Plasticity

SN - 0749-6419

IS - 10

ER -