| Title | On the Quasistatic Limit of Dynamic Evolutions for a Peeling Test in Dimension One |
| Publication Type | Journal Article |
| Year of Publication | 2018 |
| Authors | Lazzaroni, G, Nardini, L |
| Journal | Journal of Nonlinear Science |
| Volume | 28 |
| Pagination | 269–304 |
| Date Published | Feb |
| ISSN | 1432-1467 |
| Abstract | The aim of this paper is to study the quasistatic limit of a one-dimensional model of dynamic debonding. We start from a dynamic problem that strongly couples the wave equation in a time-dependent domain with Griffith's criterion for the evolution of the domain. Passing to the limit as inertia tends to zero, we find that the limit evolution satisfies a stability condition; however, the activation rule in Griffith's (quasistatic) criterion does not hold in general, thus the limit evolution is not rate-independent. |
| URL | https://doi.org/10.1007/s00332-017-9407-0 |
| DOI | 10.1007/s00332-017-9407-0 |
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