Compression Failure of Quasibrittle Material: Nonlocal Microplane Model
Publication: Journal of Engineering Mechanics
Volume 118, Issue 3
Abstract
The previously presented constitutive model of microplane type for nonlinear triaxial behavior and fracture of concrete is used in nonlocal finite element analysis of compression failure in plane strain rectangular specimens. For specimens with sliding rigid platens there is a bifurcation of the loading path at the beginning of postpeak softening; a symmetric (primary) path exists but the actual (stable) path is the nonsymmetric (secondary) path, involving an inclined shear‐expansion band that consists of axial splitting cracks and is characterized by transverse expansion. The secondary path is indicated by the first eigenvalue of the tangent stiffness matrix but can be more easily obtained if a slight nonsymmetry is introduced into the finite element model. In specimens with bonded rigid platens there is no bifurcation; they fail symmetrically, by two inclined shear‐expansion bands that consist of axial splitting cracks. The transverse expansion produces transverse tension in the adjacent material, which serves as the driving force of propagation of the axial splitting cracks. Numerical calculations indicate no significant size effect on the nominal stress at maximum load.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bant, Z. P. (1967). “Stability of continuum and compression strength.” Bulletin RILEM, Paris, France, 39, 99–112(in French).
2.
Bant, Z. P. (1989a). “Bifurcation and thermodynamic criteria of stable path of structures exhibiting plasticity and damage propagation.” Computational Plasticity D. R. J. Owen, E. Hinton, and E. Onate, eds., Pineridge Press, Swansea, U.K., 1–25.
3.
Bant, Z. P., (1989b). “Identification of strain‐softening constitutive relation from uniaxial tests by series coupling model for localization.” Cement and Concrete Res., 19, 973–977.
4.
Bant, Z. P., and Cedolin, L. (1991). Stability of structures: Elastic, inelastic, fracture and damage theories. Oxford Univ. Press, New York, N.Y.
5.
Bant, Z. P., and bolt, J. (1990). “Nonlocal microplane model for fracture, damage, and size effect in structures.” J. Engrg. Mech., ASCE, 116(11), 2485–2504.
6.
Bant, Z. P., and Prat, P. C. (1988). “Microplane model for brittle plastic material, I. Theory and II. Verification.” J. Engrg. Mech., ASCE, 114, 1672–1702.
7.
Brockenbrough, J. R., and Suresh, S. (1987). “Constitutive behavior of a microcracking brittle solid in cyclic compression.” J. Mech. Phys. Solids, 356, 721–742.
8.
Droz, P., and Bazant, Z. P. (1988). “Nonlocal analysis of stable states and stable paths of propagation of damage shear bands.” Cracking and damage, J. Mazars and Z. P. Bazant, eds., Elsevier, London, England, 183–207.
9.
Glucklich, J. (1963). “Fracture of plain concrete.” J. Engrg. Mech. Div.ASCE, 89(6), 127–138.
10.
Griffith, A. A. (1924). “The theory of rupture.” Proc. 1st Int. Conf. Applied Mechanics, Delft, The Netherlands, 55–65.
11.
Hill, R. (1961). “Bifurcation and uniqueness in non‐linear elastic‐plastic solids.” J. Mech. Phys. Solids, 6, 236–249.
12.
Hill, R. (1962). “Uniqueness criteria and extremum principles in self‐adjustment problems in continuum mechanics.” J. Mech. Phys. Solids, 10, 185–194.
13.
Ingraffea, A. R. (1977). “Discrete fracture propagation in rocks: Laboratory tests and finite element analysis,” dissertation presented to the University of Colorado, at Boulder, Colorado, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
14.
Kendall, K. (1978). “Complexities of compression failure.” Proc. Royal Soc. Of London, A361, 245–263.
15.
Lawn, B. R., and Marshal, D. B. (1978). “Indentation fracture and strength degradation in ceramics.”Fracture mechanics of ceramics, 3, R. C. Bradt, ed., Plenum Press, 205–229.
16.
Miyamoto, H., Fukuda, S., and Kageyama, K. (1977). “Finite element analysis of crack propagation under compression.” Fracture 1977, Vol3, ICF4, Waterloo, Canada, 491–499.
17.
Sammis, C. G., and Ashby, M. F. (1986). “The failure of brittle porous solids under compressive stress state.” Acta Metallurgica, 34(3), 511–526.
18.
Shetty, D. K., Rosenfield, A. R., and Duckworth, W. H. (1968). “Mixed mode fracture of ceramics in diametral compression.” J. American Ceram. Soc., 69(6), 437–443.
19.
van Mier, J. G. M. (1984). “Strain‐softening of concrete under multiaxial loading conditions,” thesis presented to Eindhoven University of Technology, at Eindhoven, The Netherlands, in partial fulfillment of the degree of Doctor of Philosophy.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 3 • March 1992
Pages: 540 - 556
Copyright
Copyright © 1992 ASCE.
History
Published online: Mar 1, 1992
Published in print: Mar 1992
Authors
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.