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Griffith

Emilio Martínez Pañeda's picture

Griffith-based analysis of crack initiation location in a Brazilian test

Dear iMechanicians, I hope that the paper below is of interest, given the wide use this experiment. Essentially, we use the generalised Griffith criterion to determine the crack initiation location in the Brazilian split test, establishing the conditions (jaws geometry and material properties) that lead to a valid test. We find that the range of conditions where the Brazilian test is valid is much narrower than previously thought, with current standards being inappropriate for a wide range of rock-like materials.

Jingjie Yeo's picture

Century Fracture Mechanics Summit 2019, organized by the Institute of High Performance Computing, A*STAR, Singapore

https://cfmsummit2019.sg/ All speakers and delegates are by invitation only. Mechanicians who would like to follow the proceedings online, I will be live-tweeting updates as the event progresses, so follow me on Twitter at https://twitter.com/JingjieYeo Scheduled to be held from 8 to 10 April 2019, the Century Fracture Mechanics Summit will feature an international line-up of influential and visionary speakers from around the world.

Zhigang Suo's picture

Inglis (1913) vs. Griffith (1921)

I have updated my notes on the Griffith paper.  I added more description on the experimental determination of surface tension of solids.  Griiffith himself determined the surface tension of glass by an experimental setup.  Udin et al (1949) described a setup based on the same principle.  This setup is now known as the zero creep experiment.

Henry Tan's picture

an interesting puzzle: multiscale mechanics

an interesting puzzle for fun:

Lame’s classical solution for an elastic 2D plate, with a hole of radius a and uniform tensile stress applied at the far field, gives a stress concentration factor (SCF) of two at the edge of the hole. This SCF=2 is independent of the hole radius.

Consider what happened to this concentration factor if the radius a approaches infinitely small. The SCF is independent of a, so it remains equal to two even when the hole disappears.

Konstantin Volokh's picture

Griffith controversy

Using the Griffith energy method for analysis of cavitation under hydrostatic tension we conclude that the critical tension tends to infinity when the cavity radius approaches zero (IJSS, 2006, doi: 10.1016/j.ijsolstr.2006.12.022). The conclusion is physically meaningless, of course. Moreover, if we assume that the failure process occurs at the edge of the cavity then the critical tension should be length-independent for small but finite cavities while the Griffith analysis always exhibits length-dependence. The main Griffith idea - introduction of the surface energy - is controversial because it sets up the characteristic length, say, surface energy over volume energy. By no means is this approach in peace with the length-independent classical continuum mechanics.

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