Combined Numerical-Statistical Analyses of Damage and Failure of 2D and 3D Mesoscale Heterogeneous Concrete

Mathematical Problems in Engineering

Volumn 2015, Issue , 2015, Pages

  Wang, Xiaofeng ^a   Jivkov, Andrey P ^a  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

AGGREGATES; ALGORITHMS; CONCRETES; FAILURE ANALYSIS; INTELLIGENT SYSTEMS; MONTE CARLO METHODS; NUMERICAL METHODS; STATISTICAL METHODS; THREE DIMENSIONAL COMPUTER GRAPHICS;

COHESIVE ZONE MODEL; DAMAGE AND FAILURE; GENERATION PROCESS; MONTE CARLO SIMULATION METHODS; PACKING ALGORITHMS; RANDOMLY DISTRIBUTED; TRACTION-SEPARATION LAW; TWO DIMENSIONS (2D);

CONCRETE AGGREGATES;

EID: 84946014892     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2015/702563     Document Type: Article

References (40)

1. F. Wittmann, "Structure of concrete with respect to crack formation," in Fracture Mechanics of Concrete, pp. 43-74, Elsevier, 1983.
2. A. Caballero, 3Dmeso-mechanical numerical analysis of concrete fracture using interface elements [Ph. D. Thesis], Polytechnic University of Catalonia, 2005.
3. X. F. Wang, Z. J. Yang, J. R. Yates, A. P. Jivkov, and C. Zhang, "Monte Carlo simulations of mesoscale fracture modelling of concrete with random aggregates and pores," Construction and Building Materials, vol. 75, pp. 35-45, 2015.
4. H. K. Man, Analysis of 3D scale and size effects in numerical concrete [Ph. D. Thesis], ETHZurich, Zürich, Switzerland, 2010.
5. R. Sharma, P. Mahajan, and R. K. Mittal, "Elastic modulus of 3D carbon/carbon composite using image-based finite element simulations and experiments," Composite Structures, vol. 98, pp. 69-78, 2013.
6. E. Roubin, A. Vallade, N. Benkemoun, and J.-B. Colliat, "Multiscale failure of heterogeneous materials: a double kinematics enhancement for Embedded Finite Element Method," International Journal of Solids and Structures, vol. 52, pp. 180-196, 2015.
7. C. M. López, I. Carol, and A. Aguado, "Meso-structural study of concrete fracture using interface elements. I: numerical model and tensile behavior,"Materials and Structures, vol. 41, pp. 583-599, 2007.
8. C. M. López, I. Carol, and A. Aguado, "Meso-structural study of concrete fracture using interface elements. II: compression, biaxial and Brazilian test," Materials and Structures, vol. 41, no. 3, pp. 601-620, 2008.
9. X. Wang, Z. Yang, and A. P. Jivkov, "Monte Carlo simulations of mesoscale fracture of concrete with random aggregates and pores: a size effect study," Construction and Building Materials, vol. 80, pp. 262-272, 2015.
10. X. F. Xu and L. Graham-Brady, "A stochastic computational method for evaluation of global and local behavior of random elastic media," Computer Methods in Applied Mechanics and Engineering, vol. 194, no. 42-44, pp. 4362-4385, 2005.
11. T. Reichert, Development of 3D lattice models for predicting nonlinear timber joint behaviour [Ph. D. Thesis], Edinburgh Napier University, 2009.
12. J. P. B. Leite, V. Slowik, and H. Mihashi, "Computer simulation of fracture processes of concrete using mesolevel models of lattice structures," Cement and Concrete Research, vol. 34, no. 6, pp. 1025-1033, 2004.
13. A. P. Jivkov, M. Gunther, and K. P. Travis, "Site-bond modelling of porous quasi-brittle media," Mineralogical Magazine, vol. 76, no. 8, pp. 2969-2974, 2012.
14. M. L. Daudeville, Role of coarse aggregates in the triaxial behavior of concrete: experimental and numerical analysis [Ph. D. Thesis], University of Grenoble, Grenoble, France, 2013.
15. M. Xie, Finite element modelling of discrete crack propagation [ Ph. D. Thesis], University of NewMexico, 1995.
16. P. Wriggers and S. O. Moftah, "Mesoscale models for concrete: homogenisation and damage behaviour," Finite Elements in Analysis and Design, vol. 42, no. 7, pp. 623-636, 2006.
17. H.-K. Man and J. G. M. van Mier, "Influence of particle density on 3D size effects in the fracture of (numerical) concrete," Mechanics of Materials, vol. 40, no. 6, pp. 470-486, 2008.
18. I. M. Gitman, H. Askes, and L. J. Sluys, "Representative volume: existence and size determination," Engineering Fracture Mechanics, vol. 74, no. 16, pp. 2518-2534, 2007.
19. M. Bailakanavar, Y. Liu, J. Fish, and Y. Zheng, "Automated modeling of random inclusion composites," Engineering with Computers, vol. 30, pp. 609-625, 2012.
20. E. N. Landis and D. T. Keane, "X-ray microtomography," Materials Characterization, vol. 61, no. 12, pp. 1305-1316, 2010.
21. J. F. Unger, S. Eckardt, and C. Könke, "Modelling of cohesive crack growth in concrete structures with the extended finite element method," Computer Methods in Applied Mechanics and Engineering, vol. 196, no. 41-44, pp. 4087-4100, 2007.
22. M. Vo?rechovsky and V. Sadlek, "Computational modeling of size effects in concrete specimens under uniaxial tension," International Journal of Fracture, vol. 154, no. 1-2, pp. 27-49, 2008.
23. A. K. H. Kwan, Z. M. Wang, and H. C. Chan, "Mesoscopic study of concrete II: nonlinear finite element analysis," Computers & Structures, vol. 70, no. 5, pp. 545-556, 1999.
24. D. A. Hordijk, "Tensile and tensile fatigue behaviour of concrete; experiments, modelling and analyses," Heron, vol. 37, no. 1, pp. 1-79, 1992.
25. A. Hillerborg, M. Modéer, and P.-E. Petersson, "Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements," Cement and Concrete Research, vol. 6, no. 6, pp. 773-781, 1976.
26. W. Shiu, F.-V. Donzé, and L. Daudeville, "Compaction process in concrete during missile impact: a DEM analysis," Computers and Concrete, vol. 5, no. 4, pp. 329-342, 2008.
27. Z. Tu and Y. Lu, "Mesoscale modelling of concrete for static and dynamic response analysis part 1: model development and implementation," Structural Engineering andMechanics, vol. 37, no. 2, pp. 197-213, 2011.
28. T. J. Hirsch, "Modulus of elasticity of concrete affected by elastic moduli of cement paste matrix and aggregate," ACI Journal Proceedings, vol. 59, no. 3, pp. 427-451, 1962.
29. ANSYS, ANSYS Academic Research, Release 14. 0, ANSYS, 2012.
30. ABAQUS 6. 7, User documentation. Dessault systems, 2007.
31. D. A. Hordijk, Local approach to fatigue of concrete [Ph. D. Thesis], Delft University of Technology, Delft, Netherlands, 1991.
32. MATLAB. R2011a,TheMathWorks Incoporation, Natick,Mass, USA, 2011.
33. X. Wang, M. Zhang, and A. P. Jivkov, "Computational technology for analysis of 3D meso-structure effects on damage and failure of concrete," International Journal of Solids and Structures. In press.
34. G. I. Barenblatt, "The mathematical theory of equilibrium cracks in brittle fracture," Advances in Applied Mechanics, vol. 7, pp. 55-129, 1962.
35. G. I. Barenblatt, "The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axiallysymmetric cracks," Journal ofAppliedMathematics andMechanics, vol. 23, pp. 622-636, 1959.
36. D. S. Dugdale, "Yielding of steel sheets containing slits," Journal of the Mechanics and Physics of Solids, vol. 8, no. 2, pp. 100-104, 1960.
37. Z. Yang, X. Wang, D. Yin, and C. Zhang, "A non-matching finite element-scaled boundary finite element coupled method for linear elastic crack propagation modelling," Computers & Structures, vol. 153, pp. 126-136, 2015.
38. T. Qiang, X. Kou, and W. Zhou, "Three-dimensional FEM interface coupled method and its application to arch dam fracture analysis," Chinese Journal of Rock Mechanics and Engineering, vol. 19, no. 5, pp. 562-566, 2000.
39. A. Caballero, C. M. López, and I. Carol, "3D meso-structural analysis of concrete specimens under uniaxial tension," Computer Methods in Applied Mechanics and Engineering, vol. 195, no. 52, pp. 7182-7195, 2006.
40. J. Van Mier and E. Schlangen, "On the stability of softening systems," in Fracture of Concrete and Rock-RecentDevelopments, S. P. Shah, S. E. Swartz, and B. Barr, Eds., pp. 387-396, Elsevier Applied Science, London, UK, 1989.