Abstract
The present study proposes a multi-yield-criteria limit analysis numerical procedure for the prediction of peak loads and failure modes of reinforced concrete (RC) elements. The proposed procedure, which is a generalization of a previous one recently presented by the authors, is hereafter applied to structural elements reinforced either with traditional steel bars and stirrups or with fiber reinforced polymer (FRP) sheets used as strengthening system. The procedure allows to take into account the actual behaviour, at a state of incipient collapse, of steel, FRP and concrete by a finite element (FE) based plasticity approach where concrete is governed by a Menétrey-Willam-type yield criterion, FRP reinforcement obey to a Tsai-Wu-type yield criterion and steel reinforcement follow the von Mises yield criterion. To check the effectiveness and reliability of the numerically detected peak loads and failure modes a comparison with experimental laboratory findings, available in literature for large-scale specimens, is presented.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Almusallam TH, Al-Salloum YA (2005) Use of glass FRP sheets as external flexure reinforcement in RC beams. Department of Civil Engineering, King Saud University, pp 1–15
American Concrete Institute ACI 440 (2008) Guide for the design and construction of externally bonded FRP systems for strengthening concrete structures, ACI 440.2R-08
Bažant ZP (1986) Mechanics of distributed cracking. Appl Mech Rev 39:675–705
Bresler B, Scordelis AC (1963) Shear strength of reinforced concrete beams. J Am Concr Inst 60(1):51–72
Chen WF (1982) Plasticity in reinforced concrete. McGraw-Hill
Drucker DC, Prager W (1952) Soil mechanics and plastic analysis or limit design. Q Appl Math 10:157–165
De Domenico D (2014) RC members strengthened with externally bonded FRP plates: a FE-based limit analysis approach. Compos Part B: Eng http://dx.doi.org/10.1016/j.compositesb.2014.11.013
De Domenico D, Pisano AA, Fuschi P (2014) A FE-based limit analysis approach for concrete elements reinforced with FRP bars. Compos Struct 107:594–603
FIB Bulletin 14 (2001) Externally bonded FRP reinforcement for RC structures. Task group 9.3. International Federation of Structural Concrete
Fuschi P (1999) Structural shakedown for elastic-plastic materials with hardening saturation surface. Int J Solids Struct 36:219–240
Le CV, Nguyen-Xuan H, Nguyen-Dang H (2010) Upper and lower bound limit analysis of plates using FEM and second-order cone programming. Comput Struct 88:65–73
Lee J, Fenves GL (1998) Plastic-damage model for cyclic loading of concrete structures. J Eng Mech ASCE 124:892–900
Li T, Crouch R (2010) A \(C_{2}\) plasticity model for structural concrete. Comput Struct 88:1322–1332
Limam O, Foret G, Ehrlacher A (2003) RC two-way slabs strengthened with CFRP strips: experimental study and a limit analysis approach. Compos Struct 60:467–471
Lubliner J, Oliver J, Oller S, Oñate E (2010) A plastic-damage model for concrete. Int J Solids Struct 25(3):299–326
Mackenzie D, Boyle JT (1993) A method of estimating limit loads by iterative elastic analysis, Parts I, II, III. Int J Press Vessel Pip 77:77–142
Menétrey P, Willam KJ (1995) A triaxial failure criterion for concrete and its generalization. ACI Struct J 92:311–318
Pisano AA, Fuschi P (2007) A numerical approach for limit analysis of orthotropic composite laminates. Int J Numer Methods Eng 70:71–93
Pisano AA, Fuschi P, De Domenico D (2012) A layered limit analysis of pinned-joints composite laminates: numerical versus experimental findings. Compos: Part B 43:940–952
Pisano AA, Fuschi P, De Domenico D (2013) A kinematic approach for peak load evaluation of concrete elements. Comput Struct 119:125–139
Pisano AA, Fuschi P, De Domenico D (2013) Peak load prediction of multi-pin joints FRP laminates by limit analysis. Compos Struct 96:763–772
Pisano AA, Fuschi P, De Domenico D (2013) Peak loads and failure modes of steel-reinforced concrete beams: predictions by limit analysis. Eng Struct 56:477–488
Pisano AA, Fuschi P, De Domenico D (2014) Limit state evaluation of steel-reinforced concrete elements by von-Mises and Menétrey-Willam-type yield criteria. Int J Appl Mech 6(5):140058 (24 pages) Imperial College Press. doi:10.1142/S1758825114500586
Ponter ARS, Carter KF (1997) Limit state solutions, based upon linear elastic solutions with spatially varying elastic modulus. Comput Methods Appl Mech Eng 140:237–258
Ponter ARS, Fuschi P, Engelhardt M (2000) Limit analysis for a general class of yield conditions. Eur J Mech/A Solids 19:401–421
Prager W (1959) An introduction to plasticity. Addison-Wesley, Reading
Sloan SW (1988) Lower bound limit analysis using finite elements and linear programming. Int J Numer Anal Methods Geomech 12:61–77
Spiliopoulos K, Weichert D (2013) Direct methods for limit states in structures and materials. Springer Science+Business Media B.V., Dordrecht
Tsai SW, Wu EM (1971) A general theory of strength for anisotropic materials. J Compos Mater 5:58–80
Zhang J, Zhang Z, Chen C (2010) Yield criterion in plastic-damage models for concrete. Acta Mech Solida Sin 23(3):220–230
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Pisano, A.A., Fuschi, P., De Domenico, D. (2015). Limit Analysis on RC-Structures by a Multi-yield-criteria Numerical Approach. In: Fuschi, P., Pisano, A., Weichert, D. (eds) Direct Methods for Limit and Shakedown Analysis of Structures. Springer, Cham. https://doi.org/10.1007/978-3-319-12928-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-319-12928-0_11
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-12927-3
Online ISBN: 978-3-319-12928-0
eBook Packages: EngineeringEngineering (R0)