Percolation mechanism of failure of a planar assembly of interlocked osteomorphic elements

Engineering Fracture Mechanics

Volumn 74, Issue 8, 2007, Pages 1222-1232

  Molotnikov, A ^a   Estrin, Y ^a   Dyskin, A V ^b   Pasternak, E ^b   Kanel Belov, A J ^c  

^a CLAUSTHAL UNIVERSITY OF TECHNOLOGY   (Germany)

^b UNIVERSITY OF WESTERN AUSTRALIA   (Australia)

^c HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

Avalanche; Cluster; Critical exponent; Fracture resistance; Topological interlocking

Indexed keywords

CRACK PROPAGATION; FRACTURE TOUGHNESS; GEOMETRY; TOPOLOGY;

CRITICAL EXPONENT; INTERLOCKED OSTEOMORPHIC ELEMENTS; TOPOLOGICAL INTERLOCKING;

FAILURE ANALYSIS;

CRACK PROPAGATION; FAILURE ANALYSIS; FRACTURE TOUGHNESS; GEOMETRY; TOPOLOGY;

EID: 33847056760     PISSN: 00137944     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.engfracmech.2006.07.012     Document Type: Article

References (19)

1. Ashby M.F., and Brechet Y. Designing hybrid materials. Acta Mater 51 (2003) 5801-5821
2. Dyskin A.V., Estrin Y., Kanel-Belov A.J., and Pasternak E. A new concept in design of materials and structures: assemblies of interlocked tetrahedron-shaped elements. Scripta Mater 44 (2001) 2689-2694
3. Dyskin A.V., Estrin Y., Pasternak E., Khor H.C., and Kanel-Belov A.J. The principle of topological interlocking in extraterrestrial construction. Acta Astronaut 57 1 (2005) 10-21
4. Dyskin A.V., Estrin Y., Pasternak E., Khor H.C., and Kanel-Belov A.J. Fracture resistant structures based on topological interlocking with non-planar contacts. Adv Engng Mater 5 3 (2003) 116-119
5. Dyskin A.V., Estrin Y., Kanel-Belov A.J., and Pasternak E. Toughening by fragmentation - how topology helps. Adv Engng Mater 3 11 (2001) 885-888
6. Gould H. An introduction to computer simulation methods: applications to physical system. second ed. (1995), Addison Wesley Publishing Company
7. Stauffer D., and Aharony A. Introduction to percolation theory (1992), Taylor and Francis, London
8. Chakrabati B.K., and Benguigui L.G. Statistical physics of fracture and breakdown in disordered systems (1997), Clarendon Press, Oxford
9. Sahimi M., and Goddard J.D. Elastic percolation models for cohesive mechanical failure in heterogeneous systems. Phys Rev B 33 11 (1986) 7848-7851
10. Ostoja-Starzewski M. Damage in a random microstructure: size effects, fractals and entropy maximization. Appl Mech Rev 42 11 Part 2 (1989) 202-212
11. Chelidze T., Reuschle T., and Gueguen Y. A theoretical investigation of the fracture energy of heterogeneous brittle materials. J Phys Condens Mat 6 (1994) 1857-1868
12. Nishiuma S., Hasegawa Y., and Miyazima S. Percolated cracks in a solid containing many initial defects. Fractals 4 3 (1996) 377-384
13. Mishnaevsky L. Damage and fracture in heterogeneous materials. Modelling and application to the improvement of drilling tool (1998), Balkema, Rotterdam/Brookfield
14. Grimmett G. Percolation. 2nd ed. (1999), Springer, New York
15. Menshikov M.V., and Sidorenko S.A. Percolation theory and some applications. Itogi Nauki i Tekhniki 24 (1986) 53-110 (Series of Probability Theory, Mathematical Statistics, Theoretical Cybernetics) [in Russian]
16. Fisher M.E. The theory of equilibrium critical phenomena. Rep Prog Phys 30 (1967) 615-730
17. Per B. The science of self-organised criticality (1996), Copernicus Press, New York, NY
18. Khor HC, Dyskin AV, Estrin Y, Pasternak E. Mechanisms of fracturing in structures built from topologically interlocked blocks, In: Atrens A, Boland JN, Clegg R, Griffiths JR, editors. Structural Integrity and Fracture SIF 2004. p. 189-194.
19. Estrin Y., Dyskin A.V., Pasternak E., Khor H.C., and Kanel-Belov A.J. Topological interlocking of protective tiles for Space Shuttle. Phil Mag Lett 83 (2003) 351-355