Dynamic fracture: an example of convergence towards a discontinuous quasi-static solution

Abstract : Considering a one-dimensional problem of debonding of a thin film in the context of Griffith's theory, we show that the dynamical solution converges, when the speed of loading goes down to 0, to a quasistatic solution including an unstable phase of propagation. In particular, the jump of the debonding induced by this instability is governed by a principle of conservation of the total quasistatic energy, the kinetic energy being negligible.
Complete list of metadatas

Cited literature [16 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-00551075
Contributor : Jean-Jacques Marigo <>
Submitted on : Monday, January 3, 2011 - 6:52:52 PM
Last modification on : Wednesday, March 27, 2019 - 4:16:23 PM
Long-term archiving on : Monday, November 5, 2012 - 3:10:30 PM

File

07-CMT-Dynamic2.pdf
Files produced by the author(s)

Identifiers

Citation

Pierre-Emmanuel Dumouchel, Jean-Jacques Marigo, M. Charlotte. Dynamic fracture: an example of convergence towards a discontinuous quasi-static solution. Continuum Mechanics and Thermodynamics, Springer Verlag, 2008, 20, pp.1-19. ⟨10.1007/s00161-008-0071-3⟩. ⟨hal-00551075⟩

Share

Metrics

Record views

664

Files downloads

260