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A seminar at Paris VI inst. d'alembert - One, no one, and one hundred thousand crack propagation equations: thursday June 5th. 1

Mike Ciavarella's picture

Prof Jean -Baptiste Leblond (http://www.lmm.jussieu.fr/~leblond/)

kindly invited me to give a seminar at Inst. d'alembert - Paris VI

Thursday June 5th. 11h30am --- I take the chance to invite a few people: http://www.lmm.jussieu.fr/~neukirch/people/seminaire/


One, no one, and one hundred thousand crack propagation equations: have we learned the lesson of Barenblatt and Botvina?

Barenblatt & Botvina with elegant dimensional analysis arguments have elucidated that the Paris' power-law is a weak form of scaling, so that the Paris' parameters C and m should not be taken as material onstants. On the contrary, they are expected to depend on all the dimensionless parameters of the problem, and are really "constants" only within some specific ranges of all these. In the present paper, the dimensional analysis approach by Barenblatt & Botvina is generalized by exploring the effect of other relevant dimensionless parameters that were not considered at that time.

ATTACHED THE PRESENTATION  

 

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