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- W4288311586 abstract "The problem of the sudden growth and coalescence of voids in elastic media is considered. The Dirichlet energy is minimized among incompressible and invertible Sobolev deformations of a two-dimensional domain having $n$ microvoids of radius $varepsilon$. The constraint is added that the cavities should reach at least certain minimum areas $v_{1},...,v_{n}$ after the deformation takes place. They can be thought of as the current areas of the cavities during a quasistatic loading, the variational problem being the way to determine the state to be attained by the elastic body in a subsequent time step. It is proved that if each $v_{i}$ is smaller than the area of a disk having a certain well defined radius, which is comparable to the distance, in the reference configuration, to either the boundary of the domain or the nearest cavity (whichever is closer), then there exists a range of external loads for which the cavities opened in the body are circular in the $varepsilon rightarrow 0$ limit." @default.
- W4288311586 created "2022-07-28" @default.
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- W4288311586 date "2019-06-25" @default.
- W4288311586 modified "2023-09-23" @default.
- W4288311586 title "A lower bound for the void coalescence load in nonlinearly elastic solids" @default.
- W4288311586 doi "https://doi.org/10.48550/arxiv.1906.10360" @default.
- W4288311586 hasPublicationYear "2019" @default.
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