Adaptive ultimate load analysis of RC shells

• Autorzy: Lackner R. , Mang H. A.
• Konferencja: Polish Conference on Computer methods in mechanics ; (14 ; 26-28.05.1999 ; Rzeszów, Poland
• Języki publikacji: EN

Abstrakty

EN

The aim of the present paper is a synthesis of both realistic modelling of the structural behavior of reinforced concrete (RC) shells and an adaptive finite element (FE) calculation tool suitable for the solution of nonlinear problems involving strain-hardening and softening plasticity. In the context of incremental-iterative analysis, an incremental error estimator is introduced. It is based on the rate of work. The reference solution required for error estimation is obtained by means of a recovery scheme applied to stress resultants. If the estimated error exceeds a prespecified threshold value, a new mesh is designed. Mesh generation is performed in the 2D parametric space of the shell. After mesh refinement, the state variables are transferred from the old to the new mesh and the calculation is restarted at the load level which was attained by the old mesh. The usefulness of the developed adaptive analysis scheme is demonstrated by a numerical analysis of an RC cooling tower.

Słowa kluczowe

EN

RC; reinforced concrete; sheel; ultimate load

PL

beton zbrojony; powłoka; obciążenie niszczące

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2000
• Tom: Vol. 7, No. 4
• Strony: 641--666
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wykr.

Twórcy

autor

Lackner R.

• Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, A-1040 Vienna, Austria

autor

Mang H. A.

• Institute for Strength of Materials, Vienna University of Technology, Karlsplatz 13, A-1040 Vienna, Austria

Bibliografia

• [1] I. Babuśka, W. C. Rheinboldt. A posteriori error estimates for the finite element method. International Journal for Numerical Methods in Engineering, 12: 1597-1615, 1978.
• [2] F. J. Barthold, M. Schmidt, E. Stein. Error indicators and mesh refinement for finite-element-computations of elastoplastic deformations. Computational Mechanics, 22: 225-238, 1998.
• [3] CEB-FIP. Model Code 1990, Bulletin d'Information. CEB, Lausanne, Switzerland, 1990.
• [4] C. A. Duarte, J. T. Oden. An h-p adaptive method using clouds. Computer Methods in Applied Mechanics and Engineering, 139: 237-262, 1996.
• [5] G. Hofstetter, H. A. Mang. Computational Mechanics of Reinforced and Prestressed Concrete Structures. Vieweg, Braunschweig, Wiesbaden, 1995.
• [6] R. Lackner. Adaptive finite element analysis of reinforced concrete plates and shells, volume 89 of Dissertationen an der Technischen Universitat Wien. Osterreichischer Kunst- und Kulturverlag, Vienna, 2000. In print.
• [7] R. Lackner, H. A. Mang. Adaptive FE ultimate load analysis of reinforced concrete plates and shells. In CD-ROM Proceedings of the 1st Structural Engineers World Congress, San Francisco, USA, 1998. Elsevier Science, Oxford.
• [8] R. Lackner, H. A. Mang. Adaptive FEM for the analysis of concrete structures. In R. de Borst, N. Bićanić, H. A. Mang, G. Meschke, eds., Computational Modelling of Concrete Structures, Proceedings of the EURO-C 1998 Conference, volume 2, pages 897-919, Badgastein, Austria, 1998. Balkema, Rotterdam.
• [9] R. Lackner, H. A. Mang. Adaptivity in computational mechanics of concrete plates and shells. Mechanics of Cohesive-Frictional Materials, 1999. Submitted for publication.
• [10] R. Lackner, B. A. Mang. Error estimation in ultimate load analysis of reinforced concrete structures. In CD-ROM Proceedings of the European Conference of Computational Mechanics, Munich, Germany, 1999.
• [11] L. Y. Li, P. Bettess. Error estimates and adaptive remeshing techniques in elasto-plasticity. Communications in Numerical Methods in Engineering, 13: 285-299, 1997.
• [12] H. A. Mang. Fllichentragwerke, Vol. 6 (Rechenorientierte Baumechanik) of Der Ingenieurbau, pp. 1-139. Ernst & Sohn, Berlin, 1995.
• [13] H. A. Mang, Ch. Hellmich, R. Lackner, B. Pichler. Computational structural mechanics. In CD-ROM Proceedings of the European Conference of Computational Mechanics, Munich, Germany, 1999.
• [14] MARC Analysis Research Corporation, Palo Alto, CA 94306. MARC Reference Manual — Vol. B: Element Library, August 1996. Multi-Purpose Finite Element Package.
• [15] G. Meschke, Th. Huemer, H.A. Mang. Computer-aided retrofitting of a damaged RC cooling tower shell. Journal of Structural Engineering (ASCE), 125(3): 328-337, 1999.
• [16] J. Peraire, M. Vandati, K. Morgan, 0.C. Zienkiewicz. Adaptive remeshing for compressible flow computations. Journal of Computational Physics, 72: 449-466, 1987.
• [17] D. Perić, J. Yu, D. R. J. Owen. On error estimates and adaptivity in elastoplastic solids: Applications to the numerical simulation of strain localization in classical and Cosserat continua. International Journal for Numerical Methods in Engineering, 37: 1351-1379, 1994.
• [18] N. Rehle, E. Ramm. Generieren von FE-Netzen fur ebene und gekriimmte Fldchentragwerke. Der Bauingenieur, 70: 357-364, 1995.
• [19] VGB, Technische Vereinigung der Grofikraftwerksbetreiber, Essen, Germany. Bautechnik bei Kaltiirmen, 1990.
• [20] J. Z. Zhu, O. C. Zienkiewicz, E. Hinton, J. Wu. A new approach to the development of automatic quadrilateral mesh generation. International Journal for Numerical Methods in Engineering, 32: 849-866, 1991.
• [21] O. C. Zienkiewicz, J. Z. Zhu. A simple error estimator and adaptive procedure for practical engineering analysis. International Journal for Numerical Methods in Engineering, 24: 337-357, 1987.
• [22] O. C. Zienkiewicz, J. Z. Zhu. The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique. International Journal for Numerical Methods in Engineering, 33: 1331-1364, 1992.