@article {2020,
	title = {Weak formulation of elastodynamics in domains with growing cracks},
	volume = {199},
	year = {2020},
	month = {2020/08/01},
	pages = {1571 - 1595},
	abstract = {<p>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{\textendash}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{\textquoteright}s inequality. We prove existence of a solution for both the damped and undamped systems, while in the damped case we are also able to prove uniqueness and an energy balance.</p>},
	isbn = {1618-1891},
	url = {https://doi.org/10.1007/s10231-019-00932-y},
	author = {Emanuele Tasso}
}
