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Article Dans Une Revue Comptes Rendus Mécanique Année : 2008

On the control of crack growth in elastic media

Résumé

In the framework of linear fracture theory, the Griffith criterion postulates the growth of any crack if the corresponding so-called energy release rate, defined as the variation of the mechanical energy, reaches a critical value. We consider in this Note the optimal location problem which consists in minimizing this rate by applying to the structure an additional boundary load having a support which is disjoint from the support of the initial load possibly responsible of the growth. We give a sufficient well-posedness condition, introduce a relaxed problem in the general case, and then present a numerical experiment which suggests that the original nonlinear problem is actually well-posed.

Dates et versions

hal-00466476 , version 1 (23-03-2010)

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Patrick Hild, Arnaud Münch, Yves Ousset. On the control of crack growth in elastic media. Comptes Rendus Mécanique, 2008, 336 (5), pp.422-427. ⟨10.1016/j.crme.2008.02.005⟩. ⟨hal-00466476⟩
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