Autoregularized Model of Compressive Behavior of Structural Wall Boundary Elements

International Concrete Abstracts Portal

The International Concrete Abstracts Portal is an ACI led collaboration with leading technical organizations from within the international concrete industry and offers the most comprehensive collection of published concrete abstracts.

  


Title: Autoregularized Model of Compressive Behavior of Structural Wall Boundary Elements

Author(s): Carlos A. Arteta, Jefferson Piedrahita, and Christopher L. Segura Jr.

Publication: Structural Journal

Volume: 122

Issue: 2

Appears on pages(s): 87-100

Keywords: boundary element (BE); compression test; fracture energy in compression; regularization; reinforced concrete (RC); strain capacity model; structural wall

DOI: 10.14359/51743302

Date: 3/1/2025

Abstract:
The adequate seismic behavior of slender reinforced concrete (RC) structural walls relies heavily on the effectiveness of the boundary element (BE) in providing stable resistance against combined axial and flexural-shear compression demands resulting from gravity loading and lateral earthquake deformations. The geometric properties of the BE, including thickness and confined length, as well as the arrangement, detailing, and quantity of transverse reinforcement, play crucial roles in achieving a stable compressive response. Laboratory tests on isolated BE specimens subjected to uniform axial compression or cyclic axial tension and compression have been instrumental in understanding the influence of these variables on the compressive behavior of wall BEs. This study uses a database of experimental results from 45 rectangular BE specimens to establish empirical relationships between compressive force and strain, accounting for geometric and transverse reinforcement design parameters. A novel auto-regularizing model is proposed to estimate the compressive behavior within the damaged zone of a BE, based on its geometry and transverse reinforcement.

Related References:

1. Acevedo, C.; Creagh, A.; Moehle, J. P.; Hassan, W.; and Tanyeri, A. C., 2010, “Seismic Vulnerability of Non-Special Boundary Element of Shear Wall under Axial Force Reversals,” Pacific Earthquake Engineering Research Center, Berkeley, CA, 19 pp.

2. ACI Committee 318, 2011, “Building Code Requirements for Structural Concrete (ACI 318-11) and Commentary (ACI 318R-11),” American Concrete Institute, Farmington Hills, MI, 503 pp.

3. ACI Committee 318, 2014, “Building Code Requirements for Structural Concrete (ACI 318-14) and Commentary (ACI 318R-14),” American Concrete Institute, Farmington Hills, MI, 520 pp.

4. Anderson, T. W., and Darling, D. A., 1952, “Asymptotic Theory of Certain ‘Goodness of Fit’ Criteria Based on Stochastic Processes,” Annals of Mathematical Statistics, V. 23, No. 2, pp. 193-212. doi: 10.1214/aoms/1177729437

5. Arteta, C. A., 2015, “Seismic Response Assessment of Thin Boundary Elements of Special Concrete Shear Walls,” PhD dissertation, University of California, Berkeley, Berkeley, CA.

6. Arteta, C. A., and Moehle, J. P., 2023, “Compressive Behavior of Thin Rectangular Boundary Elements,” ACI Structural Journal, V. 120, No. 2, Mar., pp. 157-170. doi: 10.14359/51737236

7. Arteta, C. A.; To, D. V.; and Moehle, J. P., 2014, “Experimental Response of Boundary Elements of Code-Compliant Reinforced Concrete Shear Walls,” 10th US National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Anchorage, AK.

8. ASCE/SEI 41-17, 2017, “Seismic Evaluation and Retrofit of Existing Buildings,” American Society of Civil Engineers, Reston, VA.

9. Bažant, Z. P., 1989, “Identification of Strain-Softening Constitutive Relation from Uniaxial Tests by Series Coupling Model for Localization,” Cement and Concrete Research, V. 19, No. 6, pp. 973-977. doi: 10.1016/0008-8846(89)90111-7

10. Birely, A. C.; Lowes, L. N.; and Lehman, D. E., 2015, “Fragility Functions for Flexural Reinforced Concrete Walls,” Charles Pankow Foundation, https://www.pankowfoundation.org/site/assets/files/2050/2015_6_24_fragilityfunctions_pankowfinalreport.pdf. (last accessed Jan. 15, 2025)

11. Coleman, J., and Spacone, E., 2001, “Localization Issues in Force-Based Frame Elements,” Journal of Structural Engineering, ASCE, V. 127, No. 11, pp. 1257-1265. doi: 10.1061/(ASCE)0733-9445(2001)127:11(1257)

12. Creagh, A.; Acevedo, C.; Moehle, J. P.; Hassan, W.; and Tanyeri, A. C., 2010, “Seismic Performance of Concrete Special Boundary Element,” Pacific Earthquake Engineering Research Center, Berkeley, CA, 18 pp.

13. Jansen, D. C., and Shah, S. P., 1997, “Effect of Length on Compressive Strain Softening of Concrete,” Journal of Engineering Mechanics, ASCE, V. 123, No. 1, pp. 25-35. doi: 10.1061/(ASCE)0733-9399(1997)123:1(25)

14. Kent, D. C., and Park, R., 1971, “Flexural Members with Confined Concrete,” Journal of the Structural Division, ASCE, V. 97, No. 7, pp. 1969-1990. doi: 10.1061/JSDEAG.0002957

15. Lowes, L. N.; Lehman, D. E.; Birely, A. C.; Kuchma, D. A.; Marley, K. P.; and Hart, C. R., 2012, “Earthquake Response of Slender Planar Concrete Walls with Modern Detailing,” Engineering Structures, V. 43, pp. 31-47. doi: 10.1016/j.engstruct.2012.04.040

16. Mander, J. B.; Priestley, M. J. N.; and Park, R., 1988a, “Observed Stress-Strain Behavior of Confined Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 8, pp. 1827-1849. doi: 10.1061/(ASCE)0733-9445(1988)114:8(1827)

17. Mander, J. B.; Priestley, M. J. N.; and Park, R., 1988b, “Theoretical Stress-Strain Model for Confined Concrete,” Journal of Structural Engineering, ASCE, V. 114, No. 8, pp. 1804-1826. doi: 10.1061/(ASCE)0733-9445(1988)114:8(1804)

18. Marafi, N. A.; Ahmed, K. A.; Lehman, D. E.; and Lowes, L. N., 2019, “Variability in Seismic Collapse Probabilities of Solid- and Coupled-Wall Buildings,” Journal of Structural Engineering, ASCE, V. 145, No. 6, p. 04019047. doi: 10.1061/(ASCE)ST.1943-541X.0002311

19. Markeset, G., and Hillerborg, A., 1995, “Softening of Concrete in Compression - Localization and Size Effects,” Cement and Concrete Research, V. 25, No. 4, pp. 702-708. doi: 10.1016/0008-8846(95)00059-L

20. Massey, F. J., Jr., 1951, “The Kolmogorov-Smirnov Test for Goodness of Fit,” Journal of the American Statistical Association, V. 46, No. 253, pp. 68-78. doi: 10.1080/01621459.1951.10500769

21. Massone, L. M.; Polanco, P.; and Herrera, P., 2014, “Experimental and Analytical Response of RC Wall Boundary Elements,” 10th US National Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Anchorage, AK.

22. Moehle, J. P., and Cavanagh, T., 1985, “Confinement Effectiveness of Crossties in RC,” Journal of Structural Engineering, ASCE, V. 111, No. 10, pp. 2105-2120. doi: 10.1061/(ASCE)0733-9445(1985)111:10(2105)

23. Monti, G., and Nuti, C., 1992, “Nonlinear Cyclic Behavior of Reinforcing Bars Including Buckling,” Journal of Structural Engineering, ASCE, V. 118, No. 12, pp. 3268-3284. doi: 10.1061/(ASCE)0733-9445(1992)118:12(3268)

24. Nakamura, H., and Higai, T., 1999, “Compressive Fracture Energy and Fracture Zone Length of Concrete,” US-Japan Seminar on Post-Peak Behavior of Reinforced Concrete Structures Subjected to Seismic Loads: Recent Advances and Challenges on Analysis and Design, Tokyo, Japan.

25. Razvi, S. R., and Saatcioglu, M., 1999, “Confinement Model for High-Strength Concrete,” Journal of Structural Engineering, ASCE, V. 125, No. 3, pp. 281-289. doi: 10.1061/(ASCE)0733-9445(1999)125:3(281)

26. Rustom, A., 2012, Descriptive Statistics, Probability and Inference: A Conceptual and Applicated Vision, first edition, Universidad de Chile, Santiago, Chile. (in Spanish)

Saatcioglu, M., and Razvi, S. R., 1992, “Strength and Ductility of Confined Concrete,” Journal of Structural Engineering, ASCE, V. 118, No. 6, pp. 1590-1607. doi: 10.1061/(ASCE)0733-9445(1992)118:6(1590)

27. Scott, B. D.; Park, R.; and Priestley, M. J. N., 1982, “Stress-Strain Behavior of Concrete Confined by Overlapping Hoops at Low and High Strain Rates,” ACI Journal Proceedings, V. 79, No. 1, Jan.-Feb., pp. 13-27. doi: 10.14359/10875

28. Segura, C. L., and Wallace, J. W., 2018a, “Impact of Geometry and Detailing on Drift Capacity of Slender Walls,” ACI Structural Journal, V. 115, No. 3, May, pp. 885-895. doi: 10.14359/51702046

29. Segura, C. L., and Wallace, J. W., 2018b, “Seismic Performance Limitations and Detailing of Slender Reinforced Concrete Walls,” ACI Structural Journal, V. 115, No. 3, May, pp. 849-859. doi: 10.14359/51701918

30. Shah, S. P., and Sankar, R., 1987, “Internal Cracking and Strain-Softening Response of Concrete under Uniaxial Compression,” ACI Materials Journal, V. 84, No. 3, May-June, pp. 200-212. doi: 10.14359/1926

31. Sheikh, S. A., and Uzumeri, S. M., 1982, “Analytical Model for Concrete Confinement in Tied Columns,” Journal of the Structural Division, ASCE, V. 108, No. 12, pp. 2703-2722. doi: 10.1061/JSDEAG.0006100

32. Sritharan, S.; Beyer, K.; Henry, R. S.; Chai, Y. H.; Kowalsky, M.; and Bull, D., 2014, “Understanding Poor Seismic Performance of Concrete Walls and Design Implications,” Earthquake Spectra, V. 30, No. 1, pp. 307-334. doi: 10.1193/021713EQS036M

33. Takahashi, S.; Yoshida, K.; Ichinose, T.; Sanada, Y.; Matsumoto, K.; Fukuyama, H.; and Suwada, H., 2013, “Flexural Drift Capacity of Reinforced Concrete Wall with Limited Confinement,” ACI Structural Journal, V. 110, No. 1, Jan.-Feb., pp. 95-104. doi: 10.14359/51684333

34. Taleb, R.; Tani, M.; and Kono, S., 2016, “Performance of Confined Boundary Regions of RC Walls under Cyclic Reversal Loadings,” Journal of Advanced Concrete Technology, V. 14, No. 4, pp. 108-124. doi: 10.3151/jact.14.108

35. Tripathi, M.; Dhakal, R.; Dashti, F.; and Gokhale, R., 2020, “Axial Response of Rectangular RC Prisms Representing the Boundary Elements of Ductile Concrete Walls,” Bulletin of Earthquake Engineering, V. 18, No. 9, pp. 4387-4420. doi: 10.1007/s10518-020-00868-2

36. Wallace, J. W.; Massone, L. M.; Bonelli, P.; Dragovich, J.; Lagos, R.; Luders, C.; and Moehle, J. P., 2012, “Damage and Implications for Seismic Design of RC Structural Wall Buildings,” Earthquake Spectra, V. 28, pp. 281-299. doi: 10.1193/1.4000047

37. Wee, T. H.; Chin, M. S.; and Mansur, M. A., 1996, “Stress-Strain Relationship of High-Strength Concrete in Compression,” Journal of Materials in Civil Engineering, ASCE, V. 8, No. 2, pp. 70-76. doi: 10.1061/(ASCE)0899-1561(1996)8:2(70)

38. Welt, T. S.; Massone, L. M.; LaFave, J. M.; Lehman, D. E.; McCabe, S. L.; and Polanco, P., 2017, “Confinement Behavior of Rectangular Reinforced Concrete Prisms Simulating Wall Boundary Elements,” Journal of Structural Engineering, ASCE, V. 143, No. 4, p. 04016204. doi: 10.1061/(ASCE)ST.1943-541X.0001682


ALSO AVAILABLE IN:

Electronic Structural Journal



  

Edit Module Settings to define Page Content Reviewer