Title | Weak formulation of elastodynamics in domains with growing cracks |

Publication Type | Preprint |

2018 | |

Authors | Tasso, E |

Document Number | SISSA;51/2018/MATE |

Institution | SISSA |

In this paper we formulate and study the system of elastodynamics on domains with arbitrary growing cracks. This includes homogeneous Neumann conditions on the crack sets and mixed general Dirichlet-Neumann conditions on the boundary. The only assumptions on the crack sets are to be (n − 1)-rectifiable with finite surface measure, and increasing in the sense of set inclusions. In particular they might be dense, hence the weak formulation must fall outside the usual context of Sobolev spaces and Korn's inequality. | |

http://preprints.sissa.it/handle/1963/35328 |

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