Numerical damage model for rock based on microcrack growth, interaction, and coalescence

John M Kemeny, F. F. Tang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

Rock deformation and failure in brittle rocks subjected to compressive stresses occurs by the progressive damage of the material, as cracks initiate and grow on the small scale, and coalesce to form large-scale fractures and faults. Micromechanical models based on fracture mechanics theory have been developed by many researchers for the progressive damage due to crack growth, interaction, and coalescence. In this paper it is shown how these micromechanical models can be used to predict nonlinear rock behaviour such as strain hardening and softening, dilatation, σ2 sensitivity, rate dependence, and creep. Also, these micromechanical models have been implemented into a two-dimensional finite element model. In each of the elements, the model considers the growth and interaction of microcracks, and under the appropriate circumstances, the coalescence of microcracks into large-scale splitting or shear fractures. Stress-induced anisotropy due to preferential growth of the microcracks in each of the elements is considered. The damage model has been used to simulate the progressive breakout that occurs around boreholes subjected to compressive stresses. The breakout initiates at the boundary of the hole and progresses inward, finally resulting in a stable breakout shape. The results of this analysis are in agreement with both experimental and numerical results.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
EditorsJ.W. Ju, D. Krajcinovic, H.L. Schreyer
PublisherPubl by ASME
Pages103-116
Number of pages14
Volume109
StatePublished - 1990
EventWinter Annual Meeting of the American Society of Mechanical Engineers - Dallas, TX, USA
Duration: Nov 25 1990Nov 30 1990

Other

OtherWinter Annual Meeting of the American Society of Mechanical Engineers
CityDallas, TX, USA
Period11/25/9011/30/90

Fingerprint

Microcracks
Coalescence
Rocks
Compressive stress
Boreholes
Strain hardening
Fracture mechanics
Crack propagation
Creep
Anisotropy
Cracks

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Kemeny, J. M., & Tang, F. F. (1990). Numerical damage model for rock based on microcrack growth, interaction, and coalescence. In J. W. Ju, D. Krajcinovic, & H. L. Schreyer (Eds.), American Society of Mechanical Engineers, Applied Mechanics Division, AMD (Vol. 109, pp. 103-116). Publ by ASME.

Numerical damage model for rock based on microcrack growth, interaction, and coalescence. / Kemeny, John M; Tang, F. F.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. ed. / J.W. Ju; D. Krajcinovic; H.L. Schreyer. Vol. 109 Publ by ASME, 1990. p. 103-116.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kemeny, JM & Tang, FF 1990, Numerical damage model for rock based on microcrack growth, interaction, and coalescence. in JW Ju, D Krajcinovic & HL Schreyer (eds), American Society of Mechanical Engineers, Applied Mechanics Division, AMD. vol. 109, Publ by ASME, pp. 103-116, Winter Annual Meeting of the American Society of Mechanical Engineers, Dallas, TX, USA, 11/25/90.
Kemeny JM, Tang FF. Numerical damage model for rock based on microcrack growth, interaction, and coalescence. In Ju JW, Krajcinovic D, Schreyer HL, editors, American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 109. Publ by ASME. 1990. p. 103-116
Kemeny, John M ; Tang, F. F. / Numerical damage model for rock based on microcrack growth, interaction, and coalescence. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. editor / J.W. Ju ; D. Krajcinovic ; H.L. Schreyer. Vol. 109 Publ by ASME, 1990. pp. 103-116
@inproceedings{46a6298c979e4f1784ee5031133d82df,
title = "Numerical damage model for rock based on microcrack growth, interaction, and coalescence",
abstract = "Rock deformation and failure in brittle rocks subjected to compressive stresses occurs by the progressive damage of the material, as cracks initiate and grow on the small scale, and coalesce to form large-scale fractures and faults. Micromechanical models based on fracture mechanics theory have been developed by many researchers for the progressive damage due to crack growth, interaction, and coalescence. In this paper it is shown how these micromechanical models can be used to predict nonlinear rock behaviour such as strain hardening and softening, dilatation, σ2 sensitivity, rate dependence, and creep. Also, these micromechanical models have been implemented into a two-dimensional finite element model. In each of the elements, the model considers the growth and interaction of microcracks, and under the appropriate circumstances, the coalescence of microcracks into large-scale splitting or shear fractures. Stress-induced anisotropy due to preferential growth of the microcracks in each of the elements is considered. The damage model has been used to simulate the progressive breakout that occurs around boreholes subjected to compressive stresses. The breakout initiates at the boundary of the hole and progresses inward, finally resulting in a stable breakout shape. The results of this analysis are in agreement with both experimental and numerical results.",
author = "Kemeny, {John M} and Tang, {F. F.}",
year = "1990",
language = "English (US)",
volume = "109",
pages = "103--116",
editor = "J.W. Ju and D. Krajcinovic and H.L. Schreyer",
booktitle = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",
publisher = "Publ by ASME",

}

TY - GEN

T1 - Numerical damage model for rock based on microcrack growth, interaction, and coalescence

AU - Kemeny, John M

AU - Tang, F. F.

PY - 1990

Y1 - 1990

N2 - Rock deformation and failure in brittle rocks subjected to compressive stresses occurs by the progressive damage of the material, as cracks initiate and grow on the small scale, and coalesce to form large-scale fractures and faults. Micromechanical models based on fracture mechanics theory have been developed by many researchers for the progressive damage due to crack growth, interaction, and coalescence. In this paper it is shown how these micromechanical models can be used to predict nonlinear rock behaviour such as strain hardening and softening, dilatation, σ2 sensitivity, rate dependence, and creep. Also, these micromechanical models have been implemented into a two-dimensional finite element model. In each of the elements, the model considers the growth and interaction of microcracks, and under the appropriate circumstances, the coalescence of microcracks into large-scale splitting or shear fractures. Stress-induced anisotropy due to preferential growth of the microcracks in each of the elements is considered. The damage model has been used to simulate the progressive breakout that occurs around boreholes subjected to compressive stresses. The breakout initiates at the boundary of the hole and progresses inward, finally resulting in a stable breakout shape. The results of this analysis are in agreement with both experimental and numerical results.

AB - Rock deformation and failure in brittle rocks subjected to compressive stresses occurs by the progressive damage of the material, as cracks initiate and grow on the small scale, and coalesce to form large-scale fractures and faults. Micromechanical models based on fracture mechanics theory have been developed by many researchers for the progressive damage due to crack growth, interaction, and coalescence. In this paper it is shown how these micromechanical models can be used to predict nonlinear rock behaviour such as strain hardening and softening, dilatation, σ2 sensitivity, rate dependence, and creep. Also, these micromechanical models have been implemented into a two-dimensional finite element model. In each of the elements, the model considers the growth and interaction of microcracks, and under the appropriate circumstances, the coalescence of microcracks into large-scale splitting or shear fractures. Stress-induced anisotropy due to preferential growth of the microcracks in each of the elements is considered. The damage model has been used to simulate the progressive breakout that occurs around boreholes subjected to compressive stresses. The breakout initiates at the boundary of the hole and progresses inward, finally resulting in a stable breakout shape. The results of this analysis are in agreement with both experimental and numerical results.

UR - http://www.scopus.com/inward/record.url?scp=0025555268&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0025555268&partnerID=8YFLogxK

M3 - Conference contribution

VL - 109

SP - 103

EP - 116

BT - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

A2 - Ju, J.W.

A2 - Krajcinovic, D.

A2 - Schreyer, H.L.

PB - Publ by ASME

ER -