TECHNICAL PAPERS
Nov 1, 1988

Elasto‐plastic Cracking Analysis of Reinforced Concrete

Publication: Journal of Structural Engineering
Volume 114, Issue 11

Abstract

A new elasto‐plastic cracking constitutive model for reinforced concrete is presented. The nonlinear effects considered cover almost all the nonlinearities exhibited by reinforced concrete under short term monotonic loading. They include concrete cracking in tension, plasticity in compression, aggregate interlock, tension softening, elasto‐plastic behavior of steel, bond‐slip between concrete, and steel reinforcement and tension stiffening. A new procedure for incorporating bondslip in smeared steel elements is described. A modified Huber‐Hencky‐Mises failure criterion for plastic deformation of concrete, which fits the experimental results under biaxial stresses better, is proposed. Multiple cracking at Gauss points and their opening and closing are considered. Matrix expressions are developed and are incorporated in a nonlinear finite element program. After the objectivity of the model is demonstrated, the model is used to analyze two different types of problems: one, a set of four shear panels, and the other, a reinforced concrete beam without shear reinforcement. The results of the analysis agree favorably with the experimental results.

Get full access to this article

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

References

1.
Bahlis, J. B., and Mirza, M. S. (1984). “Hypoelastic constitutive models of concrete in finite element analysis.” Report 84‐3, Dept. of Civ. Engrg. and Appl. Mech., McGill Univ., Montreal, Canada.
2.
Bazant, Z. P., and Bhat, P. D. (1976). “Endochronic theory of inelasticity and fracture of concrete.” J. of Engrg. Mech. Div., ASCE, 102(EM4), 701–722.
3.
Bazant, Z. P., and Cedolin, L. (1979). “Blunt crack band propagation in finite element analysis.” J. of Engrg. Mech. Div., ASCE, 105, 297–315.
4.
Bazant, Z. P., and Kim, S. S. (1979). “Plastic‐fracturing theory for concrete.” J. of Engrg. Mech. Div., ASCE, 105(EM3), 407–428.
5.
Bazant, Z. P., and Oh, B. H. (1983). “Crack band theory for fracture of concrete.” Materiaux et Constructions (Materials and Structures), RILEM, 16, Paris, France, 155–177.
6.
Bazant, Z. P. (1985). “Distributed cracking and nonlocal continuum.” In Finite Element Analysis, P. G. Bergan, K. J. Bathe, and W. Wunderlich, eds., Springer‐Verlag, New York, N.Y., 77–102.
7.
Chang, T. Y., Taniguchi, H., and Chen, W. F. (1987). “Nonlinear finite element analysis of reinforced concrete panels.” J. of Struct. Engrg. Div., ASCE, 113(1), 122–140.
8.
Chen, W. F. (1982). Plasticity in reinforced concrete. McGraw Hill Book Company, New York, N.Y.
9.
Collins, M. P., Vecchio, F., and Melhorn, G. (1985). “An international competition to predict the response of reinforced concrete panels.” Can. J. of Civ. Engrg., 12, 624–644.
10.
Crisfield, M. A. (1984). “Overcoming limit points with material softening and strain localisation.” In Num. Meth. for Nonlinear Problems, C. Taylor etal., eds., Vol. 2, Pineridge Press, Swansea, U.K., 244–275.
11.
De Borst, R., and Nauta, P. (1984). “Smeared crack analysis of reinforced concrete beams and slabs failing in shear.” Proc., Int. Conf. on Computer‐Aided Analysis and Design of Concrete Structures, Part I, 261–273.
12.
Kupfer, H., Hilsdorf, H. K., and Rüsch, H. (1969). “Behaviour of concrete under biaxial stresses.” J. of A.C.I., 66(8), 656–666.
13.
Legender, D., and Mazars, J. (1984). “Damage and fracture mechanics for concrete (A combined approach). “Advances in Fracture Research—Proc., 6th Int. Conf. on Fracture, New Delhi, S. K. Valluri et al., eds., Pergammon Press, Vol. 4, 2841–2848.
14.
Ngo, D., and Scordelis, E. (1967). “Finite element analysis of reinforced concrete beams.” J. of A.C.I., 64(3), 152–163.
15.
Nilson, A. H. (1968). “Nonlinear analysis of reinforced concrete by the finite element analysis.” J. of A.C.I., 65(9), 757–766.
16.
Podgorski, J. (1985). “A general failure criterion for isotropic media.” J. of Engrg. Mech. Div., ASCE, 111(Feb.)., 188–201.
17.
Rashid, Y. R. (1968). “Analysis of prestressed concrete pressure vessels.” Mech. Engrg. and Design, 7(4), 334–344.
18.
Resende, L., and Martin, J. B. (1984). “A progressive damage continuum model for granular materials.” Coinp. Meth. in Appl. Mech. and Engrg., 42(1), 1–18.
19.
Rots, J. G., Kusters, G. M. A., and Blaauwendraad, J. (1984). “The need for fracture mechanics options in finite element models for concrete structures.” Proc., Int. Conf. on Computer‐Aided Analysis and Design of Concrete Structures, Part I, 19–32.
20.
Rots, J. G., et al., (1985). “Smeared crack approach and fracture localization in concrete.” HERON, 30(4).
21.
“State‐of‐the‐art report on finite element analysis of reinforced concrete.” (1982). Report, Task Committee on Finite Element Analysis of Reinforced Concrete Structs. of the Struct. Div., Committee on Concrete and Masonry Struct., A. H. Nilson, Chairman, ASCE.
22.
Sundara Raja Iyengar, K. T., and Channakeshava, C. (1987). “Elastic‐cracking analysis of concrete structures.” Proc., Nat. Seminar on Recent Trends in Struct. Analysis and Design, Bangalore, India, Mar., A55–59.
23.
Vallanis, K. C. (1971). “A theory of viscoplasticity without a yield surface.” Archiwum Mechanik, Stossowanej (Archives of Mechanics, Warsaw), 23, Warsaw, Poland, 517–551.
24.
Vecchio, F., and Collins, M. P. (1982). “The response of reinforced concrete to inplane shear and normal stresses.” Res. Rept. 82‐03, Dept. of Civ. Engrg., Univ. of Toronto, Mar., Toronto, Canada.
25.
Yang, B. L., Dafalias, Y. F., and Herrmann, L. R. (1985). “A bounding surface plasticity model for concrete.” J. of Engrg. Mech. Div., ASCE, 111(3), Mar., 359–381.

Information & Authors

Information

Published In

Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 114Issue 11November 1988
Pages: 2421 - 2438

History

Published online: Nov 1, 1988
Published in print: Nov 1988

Permissions

Request permissions for this article.

Authors

Affiliations

C. Channakeshava
Asst. Engr., Karnataka P. W. D., and Res. Student, Dept. of Civ. Engrg., Indian Inst. of Sci., Bangalore‐560 012, India
K. T. Sundara Raja Iyengar
Emeritus Prof. of Civ. Engrg., Indian Inst. of Sci., Bangalore‐560 012, India

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