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Multi-Physics Analyses of Selected Civil Engineering Concrete Structures

Published online by Cambridge University Press:  20 August 2015

J. Kruis ,
T. Koudelka  and
T. Krejcˇí
J. Kruis*
Affiliation:
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University, Thákurova 7, Prague, 166 29, Czech Republic
T. Koudelka*
Affiliation:
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University, Thákurova 7, Prague, 166 29, Czech Republic
T. Krejcˇí*
Affiliation:
Department of Mechanics, Faculty of Civil Engineering, Czech Technical University, Thákurova 7, Prague, 166 29, Czech Republic
*
Corresponding author.Email:jk@cml.fsv.cvut.cz
Email:koudelka@cml.fsv.cvut.cz
Email:krejci@cml.fsv.cvut.cz
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Abstract

This paper summarizes suitable material models for creep and damage of concrete which are coupled with heat and moisture transfer. The fully coupled approach or the staggered coupling is assumed. Governing equations are spatially dis-cretized by the finite element method and the temporal discretization is done by the generalized trapezoidal method. Systems of non-linear algebraic equations are solved by the Newton method. Development of an efficient and extensible computer code based on the C++ programming language is described. Finally, successful analyses of two real engineering problems are described.

Keywords

74C1074F0574F1074R0574S0576R5080A2080M10Coupled problemsheat and moisture transfercreepdamage mechanicshydro-thermo-mechanical analysisefficient solversanalysis of containmentwatertightness of foundation slabs
Type
Research Article
Information
Communications in Computational Physics , Volume 12 , Issue 3 , September 2012 , pp. 885 - 918
Copyright
Copyright © Global Science Press Limited 2012

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References

[1]Anderson, P., Thirty years of measured prestress of Swedish nuclear reactor containment, Nucl. Eng. Des, 235 (2005), 2323–2336.CrossRefGoogle Scholar
[2]Bazant, Z. P., Mathematical Modeling of Creep and Shrinkage of Concrete, John Wiley&Sons, Chichester-Singapore, 1988.Google Scholar
[3]Bazant, Z. P. and Baweja, S., Creep and Shrinkage Prediction Model for Analysis and Design of Concrete Structures – Model B3, Mater. Struc, 28 (1995) 357–365.Google Scholar
[4]Bazant, Z. P. and Chern (1985a) Concrete creep at variable humidity: constitutive law and mechanism. Mater. Struc, (RILEM, Paris), 18, Jan., 1–20.Google Scholar
[5]Bazant, Z. P., Cusatis, G. and Cedolin, L., Temperature effect on concrete creep modeled by microprestress-solidification theory, J. Eng. Mech-ASCE, Vol. 130, N. 6 (2004), 691–699.Google Scholar
[6]Bazant, Z. P., Najjar, L. J. (1972) Nonlinear water diffusion in nonsaturated concrete structural analysis program. Matériaux et constructions, RILEM, Paris, 5(25), 8–9.Google Scholar
[7]Bittnar, Z. and ŠSejnoha, J., Numerical Methods in Structural Mechanics, ASCE Press, New York, USA, 1996.Google Scholar
[8]Crisfield, M. A., Non-linear Finite Element Analysis of Solids and Structures, John Wiley & Sons Ltd, Chichester, UK, 1991.Google Scholar
[9]Farhat, C. and Roux, F. X., Implicit parallel processing in structural mechanics, Comput. Mech. Adv., 2 (1994), 1–124.Google Scholar
[10]Gawin, D., Majorana, C. E., Schrefler, B. A. (1999) Numerical analysis of hygro-thermic behaviour and damage of concrete at high temperature. Mech. Cohes-Frict. Mat, 4, 37–74.Google Scholar
[11]Hellmich, C., Shotcrete asPart of the New Austrian Tunneling Method: From Thermochemo-mechanical Material Modeling to Structural Analysis and Safety Assessment of Tunnels, Begutachter: H.A. Mang, F-J Ulm; Institute for Strength of Materials, Vienna University of Technology, Vienna, Austria, 1999.Google Scholar
[12]Hughes, T. J. R., The Finite Element Method. Linear Static and Dynamic Finite Element Analysis, Prentice-Hall, inc. Englewood Cliffs, New Jersey, 1987.Google Scholar
[13]Jirásek, M. and Bazant, Z. P., Inelastic Analysis of Structures, John Wiley&Sons, Ltd, Chichester, UK, 2002.Google Scholar
[14]Kiessl, K., Kapillarer und dampfförmiger Feuchtetransrport in mehrschichtigen Bauteilen. PhD Thesis, University of Essen, Essen (1983).Google Scholar
[15]Kocčí, J., Kocčí, V., Madeěra, J., Rovnančkovaá, P.; and Černy, R., Computational analysis of hy-grothermal performance of renovation renders, Advanced Computational Methods and Experiments in Heat Transfer, XI (2010), 267–277.Google Scholar
[16]Koudelka, T. and Krejcčí, T., An Anisotropic Damage Model for Concrete in Coupled Problems, Proceedings of the Ninth International Conference on Computational Structures Technology, Topping, B. H. V. and Papadrakakis, M., Civil-Comp Press, Stirlingshire, UK, 2008, paper 157.Google Scholar
[17]Koudelka, T., Krejcčí, T. and Šejnoha, J., Analysis of a Nuclear Power Plant Containment, Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, Topping, B. H. V., Costa, L. F. Neves and Barros, R. C., Civil-Comp Press, Stirlingshire, UK, 2009, paper 132.Google Scholar
[18]Krejcčí, T., Koudelka, T., Šejnoha, J. and Zeman, J., Computer Simulation of Concrete Structures subject to Cyclic Temperature Loading, Proceedings of the Twelfth International Conference on Civil, Structural and Environmental Engineering Computing, B. H. V.Topping, Costa, L.F. Neves and Barros, R. C., Civil-Comp Press, Stirlingshire, UK, 2009, paper 131.Google Scholar
[19]Kruis, J., Domain Decomposition Methods on Parallel Computers, Progress in Engineering Computational Technology, Topping, B. H. V. and Mota Soares, C. A., Saxe-Coburg Publications, Stirling, Scotland, UK, (2004), 299–322.Google Scholar
[20]Kruis, J.,Domain Decomposition Methods for Distributed Computing, Saxe-Coburg Publications, Kippen, Stirling, Scotland, UK, 2006.Google Scholar
[21]Kruis, J., The FETI Method and its Applications: A Review, Parallel, Distributed and Grid Computing for Engineering, Topping, B. H. V., and Iványi, P., Saxe-Coburg Publications, UK, (2009), 199–216.Google Scholar
[22]Kruis, J., Koudelka, T. and Krejcčí, T., Efficient computer implementation of coupled hydro-thermo-mechanical analysis, Math. Comput. Simulat, 80 (2010), 1578–1588.CrossRefGoogle Scholar
[23]Künzel, H. M. and Kiessl, K., Calculation of heat and moisture transfer in exposed building components, Int. J. Heat Mass Tran, 40 (1997), 159–167.Google Scholar
[24]Lemaitre, J. and Chaboche, J. L., Mechanics of solid materials, Cambridge University Press, Cambridge, UK, 1994.Google Scholar
[25]Madeěra, J., Kocčí, J., Kocčí, V., Vyýbornyý, J. and Černyý, R., Computational prediction of hy-grothermal conditions in innovated AAC-based building envelopes, Advanced Computational Methods and Experiments in Heat Transfer, XI (2010), 291–301.Google Scholar
[26]Majorana, C., Mazars, J., Thermohygrometric and mechanical behaviour of concrete using damage models, Materials and Structures, 30 (1997), 349–354.CrossRefGoogle Scholar
[27]Mazars, J. and Pijaudier-Cabot, G., Continuum damage theory – application to concrete, J. Eng. Mech-ASCE, 115 (1989), 345–365.Google Scholar
[28]Papa, E. and Taliercio, A., Anisotropic Damage Model for the Multiaxial Static and Fatigue Behaviour of Plain Concrete, Eng. Fract. Mech, Vol. 55, No. 2 (1996), 163–179.CrossRefGoogle Scholar
[29]Pedersen, C. R., Combined heat and moisture transfer in exposed building constructions. PhD Thesis, Technical University of Denmark, Lingby (1990).Google Scholar
[30]Pietruszczak, S. and Mroóz, Z., Finite element analysis of deformation of strain-softening materials, Int. J. Numer. Meth. Eng, 17 (1981), 327–334.Google Scholar
[31]Quarteroni, A. and Valli, A., Domain Decomposition Methods for Partial Differential Equations, Oxford University Press Inc., New York, USA, 1999.Google Scholar
[32] SIFEL – Simple Finite Elements, http://mech.fsv.cvut.cz/∼sifel/index.htmlGoogle Scholar
[33]Skrzypek, J. and Ganczarski, A., Modeling of Material Damage and Failure of Structures, Springer-Verlag Berlin Heidelberg, Germany, 1999.Google Scholar
[34]Smith, B., Bjørstad, P. and Gropp, W., Domain Decomposition. Parallel Multilevel Methods for Elliptic Partial Differential Equations, Cambridge University Press, Cambridge, UK, 1996.Google Scholar
[35]ŠSmilauer, V. and Krejcčí, T., Multiscale Model for Temperature Distribution in Hydrating Concrete, International Journal for Multiscale Computational Engineering, Vol. 7, N. 2 (2009), 135–151.Google Scholar
[36]ŠSolín, P., ČCervený, J. and Dolezžel, I., Arbitrary-level hanging nodes and automatic adaptivity in the hp-FEM, Math. Comput. Simulat, Vol. 77, Iss. 1 (2008), 117–132.CrossRefGoogle Scholar
[37]ŠSolín, P., Dubcová, L. and Kruis, J., Adaptive hp-FEM with dynamical meshes for transient heat and moisture transfer problems, J. Comput. Appl. Math, Vol. 233, Iss. 12 (2010), 3103–3112.Google Scholar
[38]ŠStemberk, P. and Kalafutová, P., Modeling very early age concrete under uniaxial short-time and sustained loading, Mechanika, Vol. 70, N. 2 (2008), 16–21.Google Scholar
[39] T3D – automatic mesh generator, http://mech.fsv.cvut.cz/∼dr/t3d.html,Google Scholar
[40]Toselli, A., and Widlund, O., Domain Decomposition Methods – Algorithms and Theory, Springer-Verlag, Berlin, Germany, 2005.Google Scholar