A simple method to simulate shrinkage-induced cracking in cement-based composites by lattice-type modeling

Computational Mechanics

Volumn 43, Issue 4, 2009, Pages 477-492

  Liu, J X ^a   Zhao, Z Y ^a   Deng, S C ^b   Liang, N G ^b  

^a NANYANG TECHNOLOGICAL UNIVERSITY   (Singapore)

^b INSTITUTE OF MECHANICS   (China)

Author keywords

Cement based composites; Generalized beam lattice model; Mismatch deformation; Mohr Coulumb failure criterion; Shrinkage induced cracking

Indexed keywords

CEMENTS; CRACKS; CRYSTAL LATTICES; DEFORMATION; FAILURE (MECHANICAL); LATTICE MISMATCH; NUMERICAL METHODS; SHRINKAGE;

BEAM LATTICES; CEMENT BASED COMPOSITES; DEFORMATION FIELD; FAILURE CRITERIA; MECHANICAL PROBLEMS; NUMERICAL PROCEDURES; PRINCIPLE OF SUPERPOSITION; VIRTUAL DISPLACEMENTS;

FINITE ELEMENT METHOD;

EID: 59449106247     PISSN: 01787675     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00466-008-0323-x     Document Type: Article

References (31)

1. ZP Bazant MR Tabbara MT Kazemi GR Cabot 1990 Random particle model for fracture of aggregate or fiber composites J Eng Mech 116 8 1686 1705
2. JE Bolander Jr S Saito 1998 Fracture analysis using spring network with random geometry Eng Fract Mech 61 5-6 569 591
3. JE Bolander Jr S Berton 2004 Simulation of shrinkage induced cracking in cement composite overlays Cem Concr Compos 26 861 871
4. G Cusatis ZPF Bazant LM Cedolin 2003 Confinement-shear lattice model for conrete damage in tension and compression: I. Theory J Eng Mech 129 12 1439 1448
5. VS Deshpande NA Fleck MF Ashby 2001 Effective properties of the octet-truss lattice material J Mech Phys Solids 49 1747 1769
6. Fung YC (1977) A first course in continuum mechanics. Prentice-Hall, New Jersey
7. HJ Gao P Klein 1998 Numerical simulation of crack growth in an isotropic solid with randomized internal cohesive bonds J Mech Phys Solids 46 2 187 218
8. Gilbert RI (2005) AS3600 creep and shrinkage models for normal and high strength concrete. In: Gardner NJ, Weiss J (eds) Shrinkage and creep of concrete. Farmington Hills, Michigan
9. Herrmann HJ, Roux S (1992) Statistical models for the fracture of disordered media. Elsevier, Amsterdam
10. A Hrennikoff 1941 Solution of problems of elasticity by the framework method J Appl Mech 12 169 175
11. TJR Hughes RL Taylor S Kanoknukulchai 1977 A simple and efficient finite element for bending Int J Numer Eng 11 1529 1543
12. John DA St, Poole AW, Sims I (1998) Concrete petrography: a handbook of investigative techniques. Wiley, New York
13. BL Karihaloo PF Shao QZ Xiao 2003 Lattice modelling of the failure of particle composites Eng Fract Mech 70 2385 2406
14. D Krajcinovic 2000 Damage mechanics: accomplishments, trends and needs Int J Solids Struct 37 267 277
15. Lura PJ, Mejlede jensen O, Ye G, Tanaka K (2005) Identification of microcracks caused by autogenous shrinkage. In: s.n. (ed) Proceedings of the international workshop on materials science in 21st century for the construction industry-durability, repair and recycling of concrete structures. Sapporo, Japan
16. Lemaitre J (1996) A course on damage mechanics. Science Press, Beijing (in Chinese)
17. G Lilliu JGM van Mier 2003 3D lattice type fracture model for concrete Eng Fract Mech 70 927 941
18. JX Liu SC Deng J Zhang NG Liang 2007 Lattice type of fracture model for concrete Theor Appl Fract Mech 48 269 284
19. JX Liu SC Deng NG Liang 2008 Comparison of the quasi-static method and the dynamic method for simulating fracture processes in concrete Comput Mech 41 647 660
20. Liu JX, Zhao ZY, Deng SC, Liang NG (2008) Numerical investigation of crack growth in concrete subjected to compression by the generalized beam lattice model. Comput Mech. doi: 10.1007/s00466-008-0305-z
21. S Mckown Y Shen WK Brookes 2008 The quasi-static and blast loading response of lattice structures Int J Impact Eng 35 795 810
22. M Ostoja-Starzewski 2002 Lattice models in micromechanics Appl Mech Rev 55 35 60
23. Ostoja-Starzewski M (2007) Microstructural randomness and scaling in mechanics of materials. Chapman & Hall/CRC, London/Boca Raton
24. DO Potyondy PA Cundall 2004 A bonded-particle model for rock Int J Rock Mech Min Sci 41 1329 1364
25. JG Rots B Belletti S Invernizzi 2008 Robust modeling of RC structures with an "event-by-event" strategy Eng Fract Mech 75 3-4 590 614
26. RL Salganik VA Gotlib 2000 Continuum versus discontinuum damage mechanics of creep caused by microcracking Int J Fract 101 181 201
27. E Schlangen JGM van Mier 1992 Experimental and numerical analysis of the micromechanics of fracture of cement-based composites Cem Concr Compos 14 2 105 118
28. Schorn H, Rode U (1987) 3-D modeling of process zone in concrete by numerical simulation. In: Shah SP, Swartz SE (eds) Fracture of concrete and rock. Springer, New York, pp 220-228
29. van Mier JGM (1997) Fracture processes of concrete. CRC Press, Boca Raton
30. JGM van Mier MRA van Vliet TK Wang 2002 Fracture mechanisms in particle composites: statistical aspects in lattice type analysis Mech Mater 34 705 724
31. Wang XC (2003) Finite element method, 1st edn. Tsinghua University Press, Beijing