Dynamics of fracture

H. Kitagawa and Y. Shibutani (eds.) IUTAM Symposium on Mesoscopic Dynamics of Fracture Process and Materials Strength. Proceedings of the IUTAM Symposium held in Osaka, Japan, 6-11 July 2003. Volume in celebration of Professor Kitagawa s retirement. 2004... 

Dynamics of fracture scaling behaviour for fracture growth patterns and propagation... 

The role of disorder, in particular of the fractal structure of the earthquake faults (discussed in Section 4.4), are not clearly understood. As discussed in an earlier chapter (Section 3.8), the dynamics of fracture in disordered solids also indicate similar (Guttenberg-Richter type) power law behaviour in the power spectrum of the ultrasonic emission from such solids, as the fracture propagates. No doubt the understanding of the connections between the dynamics of fracture in disordered solids and the dynamics of earthquakes will become much clearer in the near future, because of the intensive efforts which are being made currently. 

Munjiza A, Owen DRJ, Bicanic N. A combined finite-discrete element method in transient dynamics of fracturing solids. Eng Comput 1995 12 145-174. 

Israelachvili, J.N., Intermolecular and Surface Forces. Academic Press, San Diego, 1992. Landman, U., Luedtke, W.D., Burnham, N.A. and Colton, R.J., Atomistic mechanisms and dynamics of adhesion, nanoindentation, and fracture. Science, 248(4954), 454-461 (1990). 

The existence of the G (A) dependence even in the region of very small amplitudes is explained by a brittle pattern of fracture of a filler s structure, so that measuring virtually frequency (and amplitude) dependences of a dynamic modulus, a researcher always deals with a material in which the structure is partially fractured. 

It seems that indeed the answers to many fundamental questions are obtained, at least in qualitative form. Perhaps, the most important exception are thixotropic phenomena. There are many of them and the necessary systematization and mathematical generalization are absent here. Thus, it is not clear how to describe the effect of an amplitude on nonlinear dynamic properties. It is not clear what is the depth and kinetics of the processes of fracture-reduction of structure, formed by a filler during deformation. Further, there is no strict description of wall effects and a friction law for a wall slip is unknown in particular. 

Gulbis, J. "Dynamic Fluid Loss of Fracturing Fluids," SPE paper 12154, 1983 SPE Annual Technical Conference and Exhibition, San Francisco, October 5-8. 

Lauke B. and Schultrich B. (1986a). Calculation of fracture work of short glass fiber reinforced polyethylene for static and dynamic loading rates. Composites Sci. Technol. 26, 1-16. 

Slepyan, L. L, 1996, Crack dynamics, in Fracture A Topical Encyclopedia of Current Knowledge, G. Cherepanov, ed, Krieger. 

Pinto da Silva, P., Peixoto de Menezes, A. and Mather, I. H. 1980. Structure and dynamics of the bovine milk fat globule membrane viewed by freeze fracture. Exp. Cell Res. 125, 127-139. 

Landman, U. et al. Atomistic Mechanisms and Dynamics of Adhesion, Nanoindentation, and Fracture, Science, 454 (April 27, 1990). 

CARS microscopy has emerged as a highly sensitive analytical tool for vibrational bioimaging, predominantly, of lipids in membrane model systems [69, 81-84], live unstained cells [85-95, 43], and both ex vivo and in vivo tissues [26, 96-103, 43]. Examples of CARS imaging applications in the physical and material sciences include the study of fracture dynamics in drying silica nanoparticle suspensions [104], patterned polymeric photoresist film [105], drug molecules in a polymer matrix [106], and liquid crystals [107, 108],... 

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