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.
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Dumouchel, PE., Marigo, JJ. & Charlotte, M. Dynamic fracture: an example of convergence towards a discontinuous quasistatic solution. Continuum Mech. Thermodyn. 20, 1–19 (2008). https://doi.org/10.1007/s00161-008-0071-3
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DOI: https://doi.org/10.1007/s00161-008-0071-3