Title:
Modeling Beam-Membrane Interface in Reinforced Concrete Frames
Author(s):
Vahid Sadeghian, Oh-Sung Kwon, and Frank Vecchio
Publication:
Structural Journal
Volume:
115
Issue:
3
Appears on pages(s):
825-835
Keywords:
beam-membrane coupling; multi-scale modeling; nonlinear analysis; reinforced concrete; shear behavior
DOI:
10.14359/51701130
Date:
5/1/2018
Abstract:
Multi-scale analysis, which involves combining advanced elements with computationally fast elements, is an effective method for assessing the behavior of large structures with deficient or complex members. One major challenge in multi-scale analysis is modeling the interface between the two types of elements. This study presents a new interface element for connecting a beam element to membrane elements, specifically formulated for reinforced concrete members. The proposed element considers reinforced concrete a composite material, is capable of computing linear and nonlinear stress distributions through the section, and allows for transverse expansion at the interface section. The accuracy of the interface element is verified through analysis of a series of beam specimens presented in the literature. The improvements of the proposed
method are compared against two commonly used beam-membrane coupling methods. Lastly, the application of the interface element is demonstrated by multi-scale analysis of a reinforced concrete frame structure with critical joints.
Related References:
1. Abrams, D. P., “Measured Hysteresis Relationships for Small-Scale Beams,” Issue 432 of Civil Engineering Studies, University of Illinois, Urbana-Champaign, IL, 1976, 160 pp.
2. Mata, P.; Barbat, A. H.; and Oller, S., “Two-Scale Approach for the Nonlinear Dynamic Analysis of RC Structures with Local Non-Prismatic Parts,” Engineering Structures, V. 30, No. 12, 2008, pp. 3667-3680. doi: 10.1016/j.engstruct.2008.06.011
3. McCune, R. W.; Armstrong, C. G.; and Robinson, D. J., “Mixed-Dimensional Coupling in Finite Element Models,” International Journal for Numerical Methods in Engineering, V. 49, No. 6, 2000, pp. 725-750. doi: 10.1002/1097-0207(20001030)49:63.0.CO;2-W
4. Ho, R. J.; Meguid, S. A.; Zhu, Z. H.; and Sauve, R. G., “Consistent Element Coupling in Nonlinear Static and Dynamic Analyses Using Explicit Solvers,” International Journal of Mechanics and Materials in Design, V. 6, No. 4, 2010, pp. 319-330. doi: 10.1007/s10999-010-9139-x
5. Wang, F. Y.; Xu, Y. L.; and Qu, W. L., “Mixed-Dimensional Finite Element Coupling for Structural Multi-Scale Simulation,” Finite Elements in Analysis and Design, V. 92, No. 1, 2014, pp. 12-25. doi: 10.1016/j.finel.2014.07.009
6. Bathe, K. J., Finite Element Procedures in Engineering Analysis, Prentice-Hall, Englewood Cliffs, NJ, 1982, 736 pp.
7. Kim, H.-S., and Hong, S.-M., “Formulation of Transition Elements for the Analysis of Coupled Wall Structures,” Computers & Structures, V. 57, No. 2, 1995, pp. 333-344. doi: 10.1016/0045-7949(94)00620-I
8. Garusi, E., and Tralli, A., “A Hybrid Stress-Assumed Transition Element for Solid-to-Beam and Plate-to-Beam Connections,” Computers & Structures, V. 80, No. 2, 2002, pp. 105-115. doi: 10.1016/S0045-7949(01)00172-9
9. Vecchio, F. J., “Disturbed Stress Field Model for Reinforced Concrete: Formulation,” Journal of Structural Engineering, ASCE, V. 126, No. 9, 2000, pp. 1070-1077. doi: 10.1061/(ASCE)0733-9445(2000)126:9(1070)
10. Guner, S., and Vecchio, F. J., “Pushover Analysis of Shear-Critical Frames: Formulations,” ACI Structural Journal, V. 107, No. 1, Jan.-Feb. 2010, pp. 63-71.
11. Gere, J. M., and Timoshenko, S. P., Mechanics of Materials, Nelson Thornes Ltd., Cheltenham, UK, 1991, 832 pp.
12. Cook, R. D.; Malkus, D. S.; and Plesha, M. E., Concepts and Applications of Finite Element Analysis, third edition, John Wiley & Sons Inc., Englewood Cliffs, NJ, 1989, 630 pp.
13. Vecchio, F. J., and Shim, W., “Experimental and Analytical Re-Examination of Classic Concrete Beam Tests,” Journal of Structural Engineering, ASCE, V. 130, No. 3, 2004, pp. 460-469. doi: 10.1061/(ASCE)0733-9445(2004)130:3(460)
14. Guner, S., and Vecchio, F. J., “User’s Manual of VecTor5,” Department of Civil Engineering, University of Toronto, Toronto, ON, Canada, 2008, 88 pp.
15. Wong, P. S.; Trommels, H.; and Vecchio, F. J., “VecTor2 and FormWorks User’s Manual, 2nd Edition,” Department of Civil Engineering, University of Toronto, Toronto, ON, Canada, 2013, 311 pp.
16. Sadeghian, V.; Vecchio, F. J.; and Kwon, O.-S., “An Integrated Framework for Analysis of Mixed-Type Reinforced Concrete Structures,” CompDyn 2015 Conference, Crete, Greece, 2015.
17. CSA Committee A23.3, “Design of Concrete Structures,” Canadian Standard Association, Rexdale, ON, Canada, 2014, 297 pp.
18. Sadeghian, V., “A Framework for Multi-Platform Analytical and Experimental Simulations of Reinforced Concrete Structures,” PhD dissertation, Department of Civil Engineering, University of Toronto, ON, Canada, 2017, 301 pp.
19. CEB-FIP, “Model Code for Concrete Structures,” Comité Euro International du Béton, Lausanne, Switzerland, 1990, 437 pp.
20. Calvi, G. M.; Magenes, G.; and Pampanin, S., “Experimental Test on a Three Storey RC Frame Designed for Gravity Only,” 12th European Conference on Earthquake Engineering, London, UK, 2002.