TECHNICAL NOTES
Dec 28, 2009

Radial Basis Function Neural Network Models for Peak Stress and Strain in Plain Concrete under Triaxial Stress

Publication: Journal of Materials in Civil Engineering
Volume 22, Issue 9

Abstract

In the analysis or design process of reinforced concrete structures, the peak stress and strain in plain concrete under triaxial stress are critical. However, the nonlinear behavior of concrete under triaxial stresses is very complicated; modeling its behavior is therefore a complicated task. In the present study, several radial basis function neural network (RBFN) models have been developed for predicting peak stress and strain in plain concrete under triaxial stress. For the purpose of constructing the RBFN models, 56 records including normal- and high-strength concretes under triaxial loads were retrieved from literature for analysis. The K -means clustering algorithm and the pseudoinverse technique were employed to train the network for extracting knowledge from training examples. Besides, the performance of the developed RBFN models was estimated by the method of three-way data splits and K -fold cross-validation. On the other hand, a comparative study between the RBFN models and existing regression models was made. The results demonstrate the versatility of RBFN in constructing relationships among multiple variables of nonlinear behavior of concrete under triaxial stresses. Moreover, the results also show that the RBFN models provided better accuracy than the existing parametric models, both in terms of root-mean-square error and correlation coefficient.

Get full access to this article

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

Acknowledgments

The writer would like to express his appreciation for the financial support received from the National Science Council, R.O.C. under Grant No. UNSPECIFIEDNSC-92-2211-E-230-004.

References

Ahamd, S. H., and Shah, S. P. (1982). “Complete triaxial stress-strain curves for concrete.” Proc. Am. Soc. Civ. Eng., 108(4), 728–742.
Attard, M. M., and Setunge, S. (1996). “Stress-strain relationship of confined and unconfined concrete.” ACI Mater. J., 93(5), 433–442.
Bishop, C. M. (1997). Neural networks for pattern recognition, Clarendon Press, Oxford.
Candappa, D. C., Sanjayan, J. G., and Setunge, S. (2001). “Complete triaxial stress-strain curves of high-strength concrete.” J. Mater. Civ. Eng., 13(3), 209–215.
Cusson, D., and Paultre, P. (1995). “Stress-strain model for confined high-strength concrete.” J. Struct. Eng., 121(3), 468–477.
El-Dash, K. M., and Ahmad, S. H. (1995). “A model for stress-strain relationship of spirally confined normal and high-strength concrete columns.” Mag. Concrete Res., 47(171), 177–184.
Ghaboussi, J., Garrett, J. H., and Wu, X. (1991). “Knowledge-based modeling of material behavior with neural networks.” J. Eng. Mech. 117(1), 129–134.
Haykin, S. (1999). Neural networks: A comprehensive foundation, Prentice-Hall, Upper Saddle River, N.J.
Imran, I., and Pantazopoulou, J. (1996). “Experimental study of plain concrete under triaxial stress.” ACI Mater. J., 93(6), 589–601.
Jain, A., Jha, S. K., and Misra, S. (2008). “Modeling and analysis of concrete slump using artificial neural networks.” J. Mater. Civ. Eng., 20(9), 628–633.
Jang, J. S. R., Sun, C. T., and Mizutani, E. (1997). Neuro-fuzzy and soft computing, Prentice-Hall, Englewood Cliffs, N.J.
Lokuge, W. P., Sanjayan, J. G., and Setunge, S. (2005). “Stress strain model for laterally confined concrete.” J. Mater. Civ. Eng., 17(6), 607–616.
Mander, J. B., Priestly, M. J. N., and Park, R. (1988). “Observed stress-strain behavior of confined concrete.” J. Struct. Eng., 114(8), 1827–1849.
Mei, H., Kiousis, P. D., Ehsani, M. R., and Saadatmanesh, H. (2001). “Confinement effects on high-strength concrete.” ACI Struct. J., 98(4), 548–553.
Menétrey, Ph., and Willam, K. (1996). “Triaxial failure criterion for concrete and its generalization.” ACI Struct. J., 92(3), 311–318.
Mindness, S., Young, J. F., and Darwin, D. (2003). Concrete, Prentice-Hall, Englewood Cliffs, N.J.
Moody, J. E., and Darken, C. J. (1989). “Fast learning in networks of locally-tuned processing units.” Neural Comput., 1(2), 281–294.
Nielsen, C. V. (1998). “Triaxial behavior of high-strength concrete and mortar.” ACI Mater. J., 95(2), 144–151.
Razvi, S., and Saatcioglu, M. (1999). “Confinement model for high-strength concrete.” J. Struct. Eng., 125(3), 281–289.
Richart, F. E., Brandtzage, A., and Brown, R. L. (1928). “A study of the failure of concrete under combined compressive stresses.” Bull. No. 185, Engineering Experimental Station, Univ. of Illinois, Urbana, Ill.
Rumelhart, D. E., Hinton, G. E., and Williams, R. J. (1986). “Learning internal representation by error propagation.” Nature (London), 323, 533–536.
Sfer, D., Carol, I., Gettu, R., and Etse, G. (2002). “Study of the behavior of concrete under triaxial compression.” J. Eng. Mech., 128(2), 156–163.
Sheikh, S. A., and Toklucu, M. T. (1993). “Reinforced concrete columns confined by circular spirals and hoops.” ACI J., 90(5), 542–553.
Tang, C. W., Chen, H. J., and Yen, T. (2003). “Modeling the confinement efficiency of reinforced concrete columns with rectilinear transverse steel using artificial neural networks.” J. Struct. Eng., 129(6), 775–783.
Tang, C. W., Lin, Y., and Kuo, S. F. (2007). “Investigation on correlation between pulse velocity and compressive strength of concrete using ANNs.” Comput. Concr., 4(6), 437–456.
Vapnik, V. (1998). Statistical learning theory, Wiley, New York.
Wang, C. Z., Guo, Z. H., and Zhang, X. Q. (1987). “Experimental investigation of biaxial and triaxial compressive concrete strength.” ACI Mater. J., 84, 92–100.
Yeh, I. C. (1999). “Design of high-performance concrete mixture using neural networks and nonlinear programming.” J. Comput. Civ. Eng., 13(1), 36–42.
Zhao, Z., and Ren, L. (2002). “Failure criterion of concrete under triaxial stresses using neural networks.” Comput. Aided Civ. Infrastruct. Eng., 17(1), 68–73.

Information & Authors

Information

Published In

Go to Journal of Materials in Civil Engineering
Journal of Materials in Civil Engineering
Volume 22Issue 9September 2010
Pages: 923 - 934

History

Received: Jan 16, 2009
Accepted: Dec 14, 2009
Published online: Dec 28, 2009
Published in print: Sep 2010

Permissions

Request permissions for this article.

Authors

Affiliations

Chao-Wei Tang [email protected]
Associate Professor, Dept. of Civil Engineering and Engineering Informatics, Cheng-Shiu Univ., No. 840, Chengcing Rd., Niaosong Township, Kaohsiung County, Taiwan. E-mail: [email protected]

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