Numerical homogenization of hardened cement paste

Computational Mechanics - Tập 42 - Trang 197-212 - 2007
M. Hain1, P. Wriggers1
1Institute of Mechanics and Computational Mechanics, Leibniz-University of Hannover, Hannover, Germany

Tóm tắt

Based upon a three-dimensional computer-tomography of hardened cement paste, a finite-element mesh at micrometer length scale is introduced. Effective material properties are obtained through numerical homogenization techniques using representative volume elements. Statistical tests, two- and three-dimensional computations and a comparison with experimental data are shown. For the hydration products of hardened cement paste a visco-plastic constitutive equation of Perzyna type including isotropic damage is introduced. The inelastic material parameters are identified solving an optimization problem through a combination of a stochastic genetic algorithm and the deterministic Levenberg-Marquardt method. The time-consuming evaluations of the corresponding objective function are distributed within a network environment automatically.

Tài liệu tham khảo

Acker P (2001) Micromechanical analysis of creep and shrinkage mechanisms. In: Creep, Shrinkage and Durability Mechanics of Concrete and other Quasi-Brittle materials: Proceedings of the sixth international conference 1:15–25 André M (2001) Thermomechanisches Verhalten von Gummimaterialien während der Vulkanisation(thermo-mechanically coupled behavior of rubber materials during vulcanization). PhD thesis, University of Hannover Bernard O, Ulm FJ and Lemarchand E (2003). A multiscale micromechanics-hydration model for the early-age elastic properties of cement-based materials. Cement Concrete Res 33: 1293–1309 Constantinides G and Ulm FJ (2004). The effect of two types of csh on the elasticity of cement-based materials: Results from nanoindentation and micromechanical modeling. Cement Concrete Res 34: 67–80 Copuroglu O, Schlangen E, Zhu W (2006) Effect of carbonation on the micro-mechanical properties and frost salt scaling of cement pastes: experimental and modelling aspects. In: Proceedings of the second International Symposium on Advances in Concrete through Science and Engineering, Quebec City, Canada, 2006 Döbert C (2001) Meso-Makromechanische Modellierung von Faserverbundwerkstoffen mit Schädigung(meso-macro mechanically modelling of fiber-composites including damage). PhD thesis, University of Hannover Geiger C and Kanzow C (1999). Numerische Verfahren zur Lösung unrestringierter Optimierungsaufgaben (Numerical schemes for solving unconstraint optimization problems). Springer, Berlin Grassl P and Jirásek M (2006). Damage-plastic model for concrete failure. Int J Solids Struct 43: 7166–7196 Gross D and Seelig T (2001). Bruchmechanik (Fracture mechanics). Springer, Berlin Koster M, Hannawald J and Brameshuber W (2006). Simulation of water permeability and water vapor diffusion through hardened cement paste. Comput Mech 37(2): 163–172 Lemaitre J (1996). A course on damage mechanics. Springer, Berlin Lenkenhoff R (1998) Mikroskopischer Nachweis der Rißentwicklung im Betongefüge (micro-scopic detection of crack evolution in concrete). PhD thesis, Ruhr-University of Bochum Mahnken R and Stein E (1994). The identification of parameters for visco-plastic models via finite-element methods and gradient methods. Model Simul Mater Sci Eng 2(3a): 597–616 Mehta PK and Monteiro PJM (2006). Concrete-microstructure, properties and materials. McGraw-Hill, New York Pollakowski M (2004) Grundkurs Socketprogrammierung mit C unter Linux (Basic cource of socket programming in C with Linux). Vieweg Verlag Powers TC (1962) Physical properties of cement paste. In: Proceedings of the fourth international symposium on the Chemistry of Cement; Paper V-1: Physical properties of cement paste 2(43):577–613 Powers TC and Brownyard TL (1948). Studies of the physical properties of hardened portland cement paste. Research Laboratories of the Portland Cement Association Bulletin 22: 101–992 Simo JC and Hughes TJR (1997). Computational inelasticity. Springer, Berlin Thielecke F (1997) Parameteridentifizierung von Simulationsmodellen für das viskoplastische Verhalten von Metallen-Theorie, Numerik, Anwendung-(parameter identification of simulations for the visco-plastic behavior of metals -theory, numerics, application-). PhD thesis, Technical University of Braunschweig Torquato S (2002). Random heterogeneous materials. Springer, Berlin Webpage (http://fire.nist.gov/bfrlpubs/build00/art060.html) National institute of standards and technology Webpage (http://www.ce.berkeley.edu/~rlt/) Homepage r.l. taylor Wedemeier T (1990) Beiträge zur Theorie und Numerik von Materialien mit innerer Reibung am Beispiel des Werkstoffes Beton(theory and numerics of materials with internal friction exemplarly for the building material concrete). PhD thesis, University of Hannover Zienkiewicz OC, Taylor RL, Zhu JZ and Nithiarasu P (2005). The finite element method. Elsevier, Amsterdam Zohdi T and Wriggers P (2001). Computational micro-macro material testing. Arch Comput Methods Eng 8(2): 131–228 Zohdi T and Wriggers P (2004). An introduction to computational micromechanics. Springer, Berlin