TECHNICAL PAPERS
Nov 1, 1987

Interface Element Modeling of Fracture in Aggregate Composites

Publication: Journal of Engineering Mechanics
Volume 113, Issue 11

Abstract

A brittle aggregate composite such as portland cement concrete or mortar is modeled in two dimensions as a system of perfectly rigid particles of various sizes separated by interface layers that are characterized by a given force‐displacement relation for the normal and tangential components. The force‐displacement relation exhibits for the normal component a tensile strength limit followed by a sudden drop of force to zero. The system of rigid particles is generated randomly. The particles are not allowed to overlap and are generally not in contact; however, when the distance between the particles is less than a certain limit, a deformable interface layer is introduced. Numerical simulation of a fracture specimen with a notch shows that the fracture front consists of an irregular band of interparticle cracks the width of which is about three maximum particle sizes. The interparticle cracks remain continuous and do not coalesce into a continuous line fracture until the deformation is very large. The load‐displacement relation exhibits gradual softening after the peak force, with a rapid force decrease followed by a long tail of slowly decreasing force. These features qualitatively agree with observations of concrete.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Bažant, Z. P. (1984). “Imbricate continuum and its variational derivation.” J. Engrg. Mech. ASCE, 110(12), 1693–1712.
2.
Bažant, Z. P. (1985). “Fracture in concrete and reinforced concrete.” Mechanics of Geomaterials, Z. P. Bažant, ed., John Wiley and Sons, New York, N.Y. 259–303.
3.
Bažant, Z. P. (1986). “Mechanics of distributed cracking.” Appl. Mech. Rev., ASME, 4(5), 675–705.
4.
Bažant, Z. P., Belytschko, T. B., and Chang, T. P. (1984). “Continuum theory for strain‐softening.” J. Engrg. Mech. ASCE, 110(12), 1666–1692.
5.
Bažant, Z. P., and Chang, T. P. (1987). “Nonlocal finite element analysis of strain‐softening solids.” J. Engrg. Mech., ASCE, 113(1), 89–105.
6.
Bažant, Z. P., and Gambarova, P. (1980). “Rough cracks in reinforced concrete.” J. Struct. Div., ASCE, 106(ST3), 819–842.
7.
Bažant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materials and Structures, RILEM, Paris, France, 18(93), 155–177.
8.
Cundall, P. A. (1971). “A computer model for simulating progressive large scale movements in blocky rock systems.” Proc. Int. Symp. on Rock Fracture, ISRM, Nancy, France, 2–8.
9.
Cundall, P. A. (1978). “BALL‐A program to model granular media using the distinct element method.” Technical Note, Advanced Technology Group, Dames and Moore, London, England.
10.
Cundall, P. A., and Strack, O. D. L. (1979). “A discrete numerical model for granular assemblies.” Geotechnique, 29, 47–65.
11.
Gogate, A. B. (1980). Discussion of “Rough cracks in reinforced concrete,” by Z. P. Gazant and P. Gambarova, J. Struct. Div., 106(ST12), 2579–2581.
12.
Kawai, T. (1980). “Some considerations on the finite element method.” Int. J. Numer. Meth. Engrg., 16, 81–120.
13.
Palaniswany, R. G., and Shah, S. P. (1975). “A model for concrete subjected to riaxial stress.” Cem. Concr. Res., 5(4), 273–284.
14.
Plesha, M. E., and Aifantis, E. C. (1983). “On the modeling of rocks with microstructure.” Proc. 24th U.S. Symp. on rock mechanics, Texas A & M Univ., College Station, Tex., Jun., 27–35.
15.
Reinhardt, H. W., and Cornelissen, H. A. W. (1984). “Post‐peak cyclic behavior of concrete in uniaxial tensile and alternating tensile and compressive loading.” Cem. Concr. Res., 14(2), 263–270.
16.
Rodriguez‐Ortiz, J. M. (1974). “Study of behavior of granular heterogeneous media by means of analogical mathematical discontinuous models,” (in Spanish), thesis presented to the Universidad Politecnica de Madrid, at Madrid, Spain, in partial fulfillment of the requirments for the degree of Doctor of Philosophy (in Spanish).
17.
Serrano, A. A., and Rodriguez‐Ortiz, J. M. (1973). “A contribution to the mechanics of heterogeneous granular media.” Proc., Symp. on Plasticity and Soil Mechanics, Cambridge, U.K.
18.
Shah, S. P., Chandra, S. (1968). “Critical stress, volume change, and microcracking of concrete.” J. Am. Concr. Inst., 5(9), 770–782.
19.
Wittmann, F. H., ed. (1983). Fracture mechanics of concrete. Elsevier Publishing Co., Amsterdam, Netherlands, 321–324.
20.
Wittmann, F. H., and Roelfstra, P. E., and Sadouki, H. (1984). “Simulation and analysis of composite structures.” Mat. Sci. and Engng., 68, 239–248.
21.
Wittmann, F. H., and Roelfstra, P. E. (1985). “Le béton numérique.” Report, EPFL, Lauanne; to appear in Matériaux et Constructions.
22.
van Mier, J. G. M. (1984). “Strain softening of concrete under multiaxial loading conditions,” thesis presented to the University of Eindhoven, at Eindhoven, the Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
23.
van Mier, J. G. M. (1986). “Multiaxial strain‐softening of concrete.” Matériaux et Constructions, RILEM, Paris, France, 19(111), 179–200.
24.
Zubelewicz, A. (1980). “Contact elements method,” thesis presented to the Technical University of Warsaw, at Warsaw, Poland, in partial fulfillment of the requirements for the degree of Doctor of Philosophy (in Polish).
25.
Zubelewicz, A. (1983). “Proposal of a new structural model of concrete,” Archiwum Inzynierii Ladowej, 29(4), 417–429, (in Polish).
26.
Zubelewicz, A., and Mróz, Z. (1983). “Numerical simulation of rock‐burst processes treated as problems of dynamic instability.” Rock Mech. and Engng., 16, 253–274.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 113Issue 11November 1987
Pages: 1619 - 1630

History

Published online: Nov 1, 1987
Published in print: Nov 1987

Permissions

Request permissions for this article.

Authors

Affiliations

Aleksander Zubelewicz
Res. Sci., Ctr. for Concrete and Geomaterials, Northwestern Univ., Evanston, IL 60201
Zdeněk P. Bažant, Fellow, ASCE
Prof. of Civ. Engrg., Northwestern Univ., Evanston, IL 60201

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

Cited by

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share