Frictional energy dissipation in materials containing cracks

Yong Hoon Jang, J. R. Barber

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

Kachanov's simplified model of microcrack interaction is applied to an investigation of the behaviour of a cracked body under predominantly compressive periodic loading, so that the cracks experience periods of closure and slip, with frictional dissipation. The model is shown to be equivalent to a discrete elastic frictional system with each crack representing one node. Theorems and algorithms from such systems are applied to determine the conditions under which the system shakes down to a state with no slip and hence no energy dissipation in friction. For conditions not too far beyond the shakedown state, the dissipation is significantly affected by the initial conditions, but with larger oscillating loads, it becomes a unique and increasing function of load amplitude. The effect of crack interaction is assessed by comparison with an uncoupled model, for which the dissipation is obtained as a summation of closed form expressions over the crack population. For small numbers of cracks, the results are significantly dependent on the randomly chosen crack locations and sizes, but with larger populations, a statistically significant decrease in dissipation is observed with increasing interaction terms.

Original languageEnglish
Pages (from-to)583-594
Number of pages12
JournalJournal of the Mechanics and Physics of Solids
Volume59
Issue number3
DOIs
Publication statusPublished - 2011 Mar 1

Fingerprint

Energy dissipation
cracks
energy dissipation
Cracks
dissipation
slip
elastic systems
microcracks
interactions
Microcracks
closures
friction
theorems
Friction

All Science Journal Classification (ASJC) codes

  • Condensed Matter Physics
  • Mechanics of Materials
  • Mechanical Engineering

Cite this

@article{a0dfdb42d80446c2a9187d2cdbf1b3d6,
title = "Frictional energy dissipation in materials containing cracks",
abstract = "Kachanov's simplified model of microcrack interaction is applied to an investigation of the behaviour of a cracked body under predominantly compressive periodic loading, so that the cracks experience periods of closure and slip, with frictional dissipation. The model is shown to be equivalent to a discrete elastic frictional system with each crack representing one node. Theorems and algorithms from such systems are applied to determine the conditions under which the system shakes down to a state with no slip and hence no energy dissipation in friction. For conditions not too far beyond the shakedown state, the dissipation is significantly affected by the initial conditions, but with larger oscillating loads, it becomes a unique and increasing function of load amplitude. The effect of crack interaction is assessed by comparison with an uncoupled model, for which the dissipation is obtained as a summation of closed form expressions over the crack population. For small numbers of cracks, the results are significantly dependent on the randomly chosen crack locations and sizes, but with larger populations, a statistically significant decrease in dissipation is observed with increasing interaction terms.",
author = "Jang, {Yong Hoon} and Barber, {J. R.}",
year = "2011",
month = "3",
day = "1",
doi = "10.1016/j.jmps.2010.12.010",
language = "English",
volume = "59",
pages = "583--594",
journal = "Journal of the Mechanics and Physics of Solids",
issn = "0022-5096",
publisher = "Elsevier Limited",
number = "3",

}

Frictional energy dissipation in materials containing cracks. / Jang, Yong Hoon; Barber, J. R.

In: Journal of the Mechanics and Physics of Solids, Vol. 59, No. 3, 01.03.2011, p. 583-594.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Frictional energy dissipation in materials containing cracks

AU - Jang, Yong Hoon

AU - Barber, J. R.

PY - 2011/3/1

Y1 - 2011/3/1

N2 - Kachanov's simplified model of microcrack interaction is applied to an investigation of the behaviour of a cracked body under predominantly compressive periodic loading, so that the cracks experience periods of closure and slip, with frictional dissipation. The model is shown to be equivalent to a discrete elastic frictional system with each crack representing one node. Theorems and algorithms from such systems are applied to determine the conditions under which the system shakes down to a state with no slip and hence no energy dissipation in friction. For conditions not too far beyond the shakedown state, the dissipation is significantly affected by the initial conditions, but with larger oscillating loads, it becomes a unique and increasing function of load amplitude. The effect of crack interaction is assessed by comparison with an uncoupled model, for which the dissipation is obtained as a summation of closed form expressions over the crack population. For small numbers of cracks, the results are significantly dependent on the randomly chosen crack locations and sizes, but with larger populations, a statistically significant decrease in dissipation is observed with increasing interaction terms.

AB - Kachanov's simplified model of microcrack interaction is applied to an investigation of the behaviour of a cracked body under predominantly compressive periodic loading, so that the cracks experience periods of closure and slip, with frictional dissipation. The model is shown to be equivalent to a discrete elastic frictional system with each crack representing one node. Theorems and algorithms from such systems are applied to determine the conditions under which the system shakes down to a state with no slip and hence no energy dissipation in friction. For conditions not too far beyond the shakedown state, the dissipation is significantly affected by the initial conditions, but with larger oscillating loads, it becomes a unique and increasing function of load amplitude. The effect of crack interaction is assessed by comparison with an uncoupled model, for which the dissipation is obtained as a summation of closed form expressions over the crack population. For small numbers of cracks, the results are significantly dependent on the randomly chosen crack locations and sizes, but with larger populations, a statistically significant decrease in dissipation is observed with increasing interaction terms.

UR - http://www.scopus.com/inward/record.url?scp=79551686529&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79551686529&partnerID=8YFLogxK

U2 - 10.1016/j.jmps.2010.12.010

DO - 10.1016/j.jmps.2010.12.010

M3 - Article

VL - 59

SP - 583

EP - 594

JO - Journal of the Mechanics and Physics of Solids

JF - Journal of the Mechanics and Physics of Solids

SN - 0022-5096

IS - 3

ER -