Numerical analysis of concrete fracture based on a homogenization technique

Computers and Structures

Volumn 63, Issue 3, 1997, Pages 497-509

  Xu, G ^a   Pietruszczak, S ^a  

^a MCMASTER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BENDING (DEFORMATION); BOUNDARY CONDITIONS; COMPRESSION TESTING; CONCRETE TESTING; FRACTURE MECHANICS; MATHEMATICAL MODELS; NUMERICAL ANALYSIS; STRUCTURAL ANALYSIS; TENSILE TESTING;

HOMOGENIZATION; SIZE EFFECTS;

BRITTLE FRACTURE;

EID: 0031139252     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7949(96)00304-5     Document Type: Article

References (20)

1. P. E. Roeffstra, Simulation of strain localization processes with numerical concrete. In Crack and Damage: Strain Localization and Size Effect (Edited by J. Mazars and Z. P. Bazant), pp. 79-90 (1989).
2. K. William, T. Stankowski, K. Runesson and S. Sture, Simulation issues of distributed and localized failure computations. In Crack and Damage: Strain Localization and Size Effect (Edited by J. Mazars and Z. P. Bazant), pp. 363-378 (1989).
3. H. Horri, Z. Shi and S. Gong. Models of fracture process zone in concrete, rock and ceramics. In Crack and Damage: Strain Localization and Size Effect (Edited by J. Mazars and Z. P. Bazant), pp. 104-115 (1989).
4. D. Krajcinovic, A mesomechanical model of concrete and its application to the size effect phenomenon. In Crack and Damage: Strain Localization and Size Effect (Edited by J. Mazars and Z. P. Bazant), pp. 164-180 (1989).
5. Z. P. Bazant and G. Pijaudier-Cabot. Non-local continuum damage, localization instability and convergence. J. Appl. Mech. 55, 287-293 (1988).
6. H. B. Mulhhaus and I. Vardoulakis, The thickness of shear bands in granular materials. Geotechnique 37, 271-283 (1987).
7. H. B. Mulhhaus and E. C. Aifantis, A variational principle for gradient plasticity. Int. J. Solids Struct. 28, 845-858 (1991).
8. R. de Borst and H. B. Mulhhaus, Gradient-dependent plasticity: formulation and algorithmic aspects. Int. J. Numer. Meth. Engng 35, 521-539 (1992).
9. A. Needleman, Material rate dependence and mesh sensitivity in localization problems. Comput. Meth. Appl. Mech. Engng 67, 19-85 (1988).
10. S. Pietruszczak and Z. Hroz, Finite element analysis of deformation of strain softening materials. Int. J. Numer. Math. Engng 17, 327-334 (1981).
11. S. Pietruszczak and G. Xu, Brittle response of concrete as a localization problem. Int. J. Solids Struct. 32, 1517-1533 (1995).
12. H. L. Schreyer and Z. Chen, One-dimensional softening with localization. J. Appl. Mech. 53, 791-797 (1986).
13. S. Pietruszczak, On the mechanics of jointed media: masonry and related problems. In Computer Methods and Advances in Geomechanics (Edited by G. Beer, J. R. Booker and J. P. Carter). Balkema, Amsterdam, pp. 403-413 (1991).
14. J. W. Rudnicki and J. R. Rice, Conditions for localization of deformation in pressure sensitive dilatant materials. J. Mech. Phys. Solids 23, 371-394 (1975).
15. S. Pietruszczak and X. Niu, On the description of localized deformation. Int. J. Numer. Analyt. Meth. Geomech. 17, 791-805 (1993).
16. D. R. J. Owen and E. Hinton, Finite Element in Plasticity: Theory and Practice. Pineridge Press, Swansea (1980).
17. M. D. Kotsovos, Effect of testing techniques on the post-ultimate behaviour of concrete under compression. RILEM Mater. Struct. 16(91) 3-12 (1983).
18. Z. P. Bazant, Stable states and stable paths of propagation of damage zones and interactive fractures. In Crack and Damage: Strain Localization and Size Effect (Edited by J. Mazars and Z. P. Bazant), pp. 183-206 (1989).
19. J. G. M. Van Mier, Strain-softening of concrete under multiaxial loading conditions, Ph.D. Thesis, Eindhoven University of Technology, The Netherlands (1984).
20. Z. P. Bazant and P. A. Pfeiffer, Determination of fracture energy from size effect and brittleness number. ACI Mater. J. 463-480 (1987).