Brittle solid under compression. Part I: Gradient mechanisms of microcracking

International Journal of Solids and Structures

Volumn 34, Issue 20, 1997, Pages 2563-2581

  Blechman, I ^a  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLENESS; CRACK INITIATION; ELASTIC MODULI; MICROCRACKS; SINGLE CRYSTALS; STRAIN RATE;

BRITTLE HETEROGENOUS SOLIDS; GRADIENT MICROCRACKING MECHANISMS;

FRACTURE MECHANICS;

BRITTLE FAILURE; COMPRESSION; FRACTURE MECHANICS; MICROCRACK;

EID: 0031195225     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7683(96)00177-1     Document Type: Article

References (53)

1. Attiogbe, E. K. and Darwin, D. (1987). Submicrocracking in cement paste and mortar. ACI Material Journal 84, 491-500.
2. Avram, C., Facaoaru, I., Filimon, I. and Mirsu, O. (1981). Concrete Stress and Strain, Elsevier, Amsterdam.
3. Bazant, Z. and Pfeiffer, F. (1987). Determination of fracture energy size effect and brittleness number. ACI Journal 84, 463-167.
4. Bennet, E. W, and Raju, N. K. (1972). Effect of understressing of the deformation and strength of plain concrete in compression. Proc. Int. Conf. MBM, p. 278. Kyoto, Japan, 15-20 August 1971.
5. Berg, O. (1950). On the problem of the strength and plasticity of concrete. Doklady Akad Nauk, USSR 70(4).
6. Berg, O. (1961). Physical Principles of the Theory of Strength of Concrete and Reinforced Concrete, Gosstroyizdat, Moscow.
7. Berg, O., Shcherbakov, E. N. and Pisanko, G. N, (1971). High-Strength Concrete, Gosstroyizdat, Moscow.
8. Blechman, I. (1988). Stage model of stress-strain relationship for concrete under short-term load, part I : ascending branch. Cement and Concrete Research 18, 863-873.
9. Blechman, I. (1989). Stage model of stress-strain relationship for concrete under short term load, part 2, nature of concrete atrophy. Cement and Concrete Research 19, 7-15.
10. Blechman, I. (1989). Stage model of stress-strain relationship for concrete under short term load, part 3, descending branch. Cement and Concrete Research 19, 203-215.
11. Blechman, I. (1992). Differential equation of concrete behavior under uniaxial short-term compression in terms of atrophy (degeneration) and its solution. Magazine of Concrete Research 44, 107-115.
12. Blechman, I. (1997). Brittle solid under triaxial compression: part 1 : principal equations and bearing capacity in terms of new paradigm. Rock Mechanics and Rock Engineering (In press).
13. Blechman, I. (1997). Brittle solid under triaxial compression: part 2: locked state and stress drop in earthquakes. Rock Mechanics and Rock Engineering (In press).
14. Carreira, D. J. and Chu, K. (1985). Stress-strain relationship for plain concrete in compression. ACI Journal 82, 797-803.
15. Griffith, A. A. (1921). The phenomena of rupture and flow in solid. Philosophy Transactions of the Royal Society, London CCXXI, 163-198.
16. Griffith, A. A. (1924). The theory of rupture, Proc. First Int. Congress Appl. Mechanics, pp. 55-63.
17. Delibes Liniers, A. (1987). Microcracking of concrete under compression and its influence on tensile strength. Materials and Structures 20, 111-116.
18. Feldman, R. and Sereda, P. (1968). A model for hydrated Portland cement paste as deduced from sorption-length change and mechanical properties. Materials and Structures 1, 509-519.
19. Glucklich, J. (1971a). The strength of concrete as a composite material. Proc. Int. Conf. MBM, Kyoto, p. 104.
20. Glucklich, J. (1971b). Tct of microcracking on time-dependent deformations and the long-time strength of concrete. Proc. Int. Conf. MBM, Kyoto, pp. 117, 176-189, 15-20 August 1971.
21. Guo, Zhen-hai and Zhang, Xiu-qin (1987). Investigation of complete stress-deformation curves for concrete in tension. ACI Material Journal 84, 278-285.
22. Gushcha, Yu. and Lemish, L. L. (1985). Calculation of structure elements deformation for every stage in short-term and sustained load. Beton i Zhelezobeton 11, 13.
23. Hsu, T., Slate, F. O., Sturman, G. M. and Winter, G. (1963). Microcracking of plain concrete and the shape of the stress-strain curve. ACI Journal 60, 209-224.
24. Jaeger, J. and Cook, N. (1978). Fundamentals of Rock Mechanics. Elsevier, Amsterdam.
25. Karsan, I. D. and Jirsa, J. (1969). Behavior of concrete under compressive loadings. ASCE Journal 95, 6935.
26. Krajcinovic, D. and Fanella, D. (1986). A micromechanical damage model for concrete. Engineering Fracture Mechanics 25, 585-596.
27. Lemaitre, J. and Dufailly, J. (1987). Damage measurements. Engineering Fracture Mechanics 28, 643-661.
28. Li, C. and Nordlund, E. (1993). Experimental verification of Kaiser effect in rocks. Rock Mechanics Rock Engineering X, 333-351.
29. Malvar, L. and Warren, G. (1987). Fracture energy for the three point bend test on single edge notched beams: proposed evaluation. Materials and Structures 20, 440-447.
30. Mindess, S. (1983a). The application of fracture mechanics to cement and concrete: a historical review. Fracture Mechanics of Concrete, Elsevier, Amsterdam, p. 23.
31. Mindess, S. (1983b). The cracking and fracture in concrete, an annotated bibliography, 1928-1981. In Fracture Mechanics of Concrete, Elsevier, Amsterdam.
32. Mitsuru, Saito (1987). Characteristics of microcracking in concrete under static and repeated tensile loading. Cement and Concrete Research 17, 211-218.
33. Neville, A. (1971). Hardened concrete physical and mechanical aspects. ACI Monograph 6, 113.
34. NMAB (1983). Fracture in compression of brittle solids. Final Report, NMAB, Nat. Academy of Science, Washington D.C.
35. Olaffson, W. A. and Peng, S. S. (1976). Microcrack nucleation in marble. International Journal of Rock Mechanics and Mineral Science 13, 53-59.
36. Ono, K. and Mills, R. (1972). Crack propagation of RC-concrete and modelling of concrete by FEM. In Proc. Int. Conf. MBM, Vol. 4, 15-20 August 1971, pp. 43-52.
37. Popovics, S. (1971). Factors affecting the elastic deformation of concrete. Proc. Int. Conf. MBM, Vol. 4, 15-20 August 1971, p. 172.
38. Rusch, H. (1959). Physikalische fragen der betonprufung. Zement-Kalk-Gips (Wiesbaden) 12, 1-9.
39. Shah, S., Winter, G. (1966). Inelastic behavior and fracture of concrete. ACI Journal. X, 926-930.
40. Shah, S. (1984). Prediction of cumulative damage for concrete and reinforced concrete. Materials and Structures 17, 65-68.
41. Shah, S. and Chandra, S. (1968a). Critical stress, volume change and microcracking of concrete. ACI Journal 65, 770-780.
42. Shah, S. and Slate, F. O. (1968b). Internal microcracking, mortar aggegate bond and the stress-strain curve of concrete. In Proc. Int. Conf. Structure of concrete and its behavior under load, C&CA, London, September 1965, pp. 82-92, 114-117.
43. Shah, S. and Ahmad, S. (1985). Behavior of hoop confined concrete under high strain rate. ACI Journal 82, 634-647.
44. Slate, F. O. and Matheus, R. E. (1967). Volume changes on setting and curing of cement paste and concrete from zero to seven days. ACI Journal 64, 34-39.
45. Slate, F. O. et al. (1981a). Microcracking and behavior of high-strength concrete subject to short-term loading. ACI Journal 78, 179-186.
46. Slate, F. O., et al. (1981b). Microcracking and time dependent strains in high-strength concrete. ACI Journal 78, 262-268.
47. Slate, F. O., Nilson, A. N. and Martinez, S. (1986). Mechanical properties of high-strength lightweight concrete. ACI Journal 77, 606-613.
48. Swamy, R. (1971). Fracture phenomena of hardened paste, mortar and concrete. In Proc. Int. Conf. MBM, Japan, pp. 132-142.
49. Takeda, J. and Tachikawa, H. (1971). Deformation and fracture of concrete subjected to dynamic load. In Proc. Int. Conf. MBM, Japan, 15-20 August 1971, p. 267.
50. Van Mier, J, (1986), Multiaxial strain-softening of concrete. Materials and Structures 111, 179-190.
51. Wang, P., Shah, S. and Naaman, A. (1978). Stress-strain curves on normal and lightweight concrete in compression. ACI Journal 75, 603-611.
52. Wittmann, F. H. et al. (1987). Influence of age of loading, w/c ratio and rate of loading on fracture energy of concrete. Materials and Structures 20, 103-110.
53. Zaitsev, Y. and Wittmann, F. H. (1981). Simulation of crack propagation and failure of concrete. Materials and Structures, 14, 357-364.