Numerical analysis of a reinforced concrete beam and deep beam under impulsive loading

• Autorzy: Stolarski A. , Cichorski W.
• Języki publikacji: EN

Abstrakty

EN

An analysis of the dynamic behaviour of a reinforced concrete beam and a deep beam taking into account the physical non-linearities of structural materials is presented in this paper. The modified model of the elastic/visco-perfectly plastic material with regard to delayed yield effect was applied to the reinforcing steel. The non-standard model of dynamic deformation was applied to the concrete. The model describes the elastic properties until attaining the dynamic strength of concrete, perfectly plastic properties in the limited range of deformation, material softening, and smeared cracking or crushing which are corncentrated in the regions of the tensile or compressive residual stress states. Interaction between the reinforcing steel and the concrete is conditioned by the assumption of perfect consistency of displacements of both materials. The ratio of this interaction depends on the phase of deformation of the concrete. The method of analysis of the structural system was developed using the finite element method. The results of numerical solutions arę presented. The effectiveness of the method of analysis and computational algorithms for problems of numerical simulation of the reinforced concrete beam and the deep bearn dynamie behaviour is indicated in this paper.

Słowa kluczowe

EN

R/C deep beam; physical non-linearity; dynamics; numerical analysis

PL

analiza numeryczna; dynamika

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2005
• Tom: Vol. 12, No. 4
• Strony: 299--328
• Opis fizyczny: Bibliogr. 25 poz., rys., wykr.

Twórcy

autor

Stolarski A.

• Military University of Technology [Wojskowa Akademia Techniczna], Kaliskiego 2, 00-908 Warsaw

autor

Cichorski W.

• Military University of Technology [Wojskowa Akademia Techniczna], Kaliskiego 2, 00-908 Warsaw

Bibliografia

• [1] G. Bąk, A. Stolarski. Delayed yield efFect in dynamie flow of elastic/visco-perfectly plastic material. Arch. Mech., 37: 4-5, 285-302, 1985.
• [2] G. Bąk, A. Stolarski. Nonlinear analysis of reinforced concrete beams under impulsive load. I - Discretisation of the reinforced concrete beam dynamic problem. II - Numerical analysis and comparison with experimental results. Engineering Transactions, 36, 3, I: 501-512, II: 519-539, 1988.
• [3] O. Buyukozturk. Nonlinear analysis of reinforced concrete structures. Computers and Structures, 7: 149-156, 1977.
• [4] J. D. Campbell. The dynamic yielding of mild steel. Acta Metallurgica, 1: 706-710, 1953.
• [5] W. Cichorski, A. Stolarski. Sensitivity of the numerical solution to finite element mesh for reinforced concrete deep beams. Computer Assisted Mechanics and Engineering Sciences, 7: 195-206, 2000.
• [6] W. Cichorski, A. Stolarski. Analysis of displacement state of the inelastic reinforced concrete deep beam under static load Bulletin of Military University of Technology, L, 5(585), 5-19, 2001.
• [7] W. Cichorski, A. Stolarski. Analysis of stress state of the inelastic reinforced concrete deep beam under static load. Bulletin of Military University of Technology, L, 5(585), 21-45, 2001.
• [8] F. Emrich, J. Herter, G. Puffer. Nonlinear finite element analysis of reinforced concrete beams under impact loads in comparison with experimental results. Proceedings RILEM-CEB-IABSE-IAAS-Interassotiation Symposium on Concrete Structures Under Impact and Impulsive Loading, Berlin, Germany, II, 455-471, 1982.
• [9] H. Floegl, H. Mang. Tension stiffening concept based on bond slip. Journal of the Structural Division. Proc.
• ASCE, 108, ST12, 2681-2701, 1982.
• [10] J. Ghaboussi, W. A. Millavec, J. Isenberg. R/C structures under impulsive loading. Journal of Structural Engineering, vol.110, 3: 505-522, 1984.
• [11] J. Karolak, A. Winnicki. Simulations of dynamics response of concrete structures using yiscoplastic Hoffmann consistency model. Proceedings of the Fifth World Congress on Computational Mechanics (WCCM V), July 7-12, 2002, Vienna, Austria, H.A. Mang, F.G. Rammerstorfer, J. Eberhardsteiner. Editors: Publisher: Vienna University of Technology, Austria, ISBN 3-9501554-2-2, RS 103.2, 11-420; ISBN 3-9501554-0-6, http://wccm.tuwien.ac.at.
• [12] J. Karolak, A. Winnicki. Dynamic analysis of concrete structures using viscoplastic Hoffmann consistency model. 4-th International Conference on Analytical Models and New Concepts in Concrete and Masonry Structures. Kraków, Poland, June 5-7, 60-65, 2002.
• [13] M. Kleiber, The finite element method in nonlinear continuum mechanics{m Polish). PWN, Warsaw, Poland, 1985.
• [14] F. Leonhardt, R. Walther. Wandartige träger (in German). Report. Deutscher Ausschüß für Stahlbeton, 229, Berlin, Germany, 1966.
• [15] E. Limberger, K. Brandes, J. Herter. Influence of mechanical properties of reinforcing steel on the ductility of reinforced concrete beams with respect to high strain rates. Proceedings RILEM-CEB-IABSE-IAAS-Interassotiation Symposium on Concrete Structures Under Impact and Impulsive Loading, Berlin, Germany, II, 134-145, 1982.
• [16] P. M. Lewiński. Nonlinear analysis of reinforced concrete slabs and disks by the finite element method (in Polish). PWN, Warszawa-Łódź, 1990.
• [17] M. J. Mikkola, H. S. Sinsalo. Nonlinear dynamic analysis of reinforced concrete structures. Proceedings RILEM-CEB-IABSE-IAAS-Interassotiation Symposium on Concrete Structures Under Impact and Impulsive Loading, Berlin, Germany, II, 534-547, 1982.
• [18] L. Nilsson. Impact loading on concrete structures. Chalmers University of Technology, Department of Structural Mechanics, Publ. 79:1, Goteborg, 1979.
• [19[ P. Perzyna. The constitutive equations for rate sensitive plastic materials. Quart. Appl. Math., 20: 321-332, 1963.
• [20] H. Reimann. Kritische Spannunszustände des Betons bei mehrachsiger, ruhender Kurzzeitbelastung (in German). Deutscher Ausschüß für Stahlbeton, 175, Berlin, Germany, 1965, .
• [21] A. Stolarski. Model of dynamic deformation of concrete (in Polish). Archives of Civil Engineering, XXXVII, (3-4): 405-447, 1991.
• [22] A. Stolarski, W. Cichorski. Nonlinear Analysis of Reinforced Concrete Beams and Deep Beams under Impulsive Load. Proceedings of the 3-rd Asia-Pacific Conference on Shock & Impact Loads on Structures, Singapore, 453 - 460, 24-26 November 1999.
• [23] A. Stolarski, W. Cichorski. The method of analysis of the inelastic behaviour of the reinforced concrete deep beam under dynamic load (in Polish). Bulletin of Military University of Technology, L, 6(586), 35-68, 2001.
• [24] K. J. Wiliam, E. P. Warnke. Constitutive model for the triaxial behavior of concrete. Int. Ass. for Bridge and Struct. Engng., Seminar on Concrete Structures Subjected to Triaxial Stresses, Bergamo, Italy, III-l, 1-30, 1974.
• [25] O. C. Zienkiewicz. The finite element method. (in Polish) McGraw-Hill, London, England, 1977, [Arkady, Warsaw, Poland, 1972].