Heterogeneous materials - Scaling phenomena relevant to fracture and to fracture toughness

Chaos, Solitons and Fractals

Volumn 8, Issue 2 SPEC. ISS., 1997, Pages 151-170

  Meisner, Mark J ^a   Frantziskonis, George N ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0006558410     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0960-0779(96)00053-7     Document Type: Article

References (18)

1. S. Roux, Rugosités de fracture: observations et spéculations, Proc. MECAMAT Aussois, France, January 95 (1995).
2. G. Frantziskonis, On scaling phenomena in fracture of heterogeneous solids, Eur. J. Mech A/Solids 13, 73-92 (1994).
3. G. Frantziskonis, On the possibly multifractal properties of dissipated energy in brittle materials, Appl. Mech. Rev. 47, S132-S140 (1994).
4. G. Frantziskonis, Heterogeneity and implicated surface effects - statistical, fractal approach and relevant analytical solution, Acta Mechanica 108, 157-178 (1995).
5. H. Dai and G. Frantziskonis, Heterogeneity, spatial correlations, size effects and dissipated energy in brittle materials, Mech. Mater. 18, 103-118 (1994).
6. M. J. Meisner, Heterogeneity in engineering materials: cases of discrete and statistical disorder, Ph.D. dissertation, University of Arizona (1995).
7. E. L. Hinrinsen, A. Hansen and S. Roux, A fracture growth model, Europhys. Lett. 8, 1-17 (1989).
8. G. Frantziskonis, P. Renaudin and D. Breysse, Heterogeneous solids - Part I: analytical and numerical 1D results on adverse boundary related phenomena, preprint.
9. P. Renaudin, D. Breysse and G. Frantziskonis, Heterogeneous solids - Part II: numerical 2D results on boundary and other relevant phenomena, preprint.
10. P. D. Panagiotopoulos, Fractal geometries in solids and structures, Int. J. Solids Structures 29, 2159-2175 (1992).
11. A. Renyi, Probability Theory. North-Holland (1970).
12. M. Schroeder, Fractal, Chaos, Power Laws. Freeman (1991).
13. C. Meneveau and K. R. Sreenivasan, Simple multifractal cascade model for fully developed turbulence, Phys. Rev. Lett. 59, 1424-1427 (1987).
14. A. B. Mosolov and F. M. Borodich, Fractal fracture of brittle bodies during compression, Sov. Phys. Tech. Phys. 263-265 (1991): translated in the American Institute of Physics (1992).
15. H. J. Herrmann, A. Hansen and S. Roux, Fracture of disordered, elastic lattices in two dimensions, Phys. Rev. B 39, 637-648 (1989).
16. A. Hansen, S. Roux and H. J. Herrmann, Rupture of central force lattices, J. Physique 50, 733-744 (1989).
17. A. Hrennikoff, Solution of problems of elasticity by the framework method, J. Appl. Mech. 8, A169-A174 (1941).
18. M. Meisner and G. Frantziskonis, Multifractal fracture toughness properties of brittle heterogeneous materials, J. Phys. A: Math. Gen. 29, 2657-2670 (1996).