The three-dimensional elasticity energy for a notched rod under axial loads is shown to converge in a variational sense to a class of one-dimensional models with a localized compliance when the beam becomes very slender and when the ratio between the depth and the width of each notch vanishes in a suitable way. Also the case of notched thermal conductors is considered, in a parallel treatment, because it falls in a similar but simpler framework.
Thin Notched Beams
FREDDI, Lorenzo;MORASSI, Antonino;CABIB, Elio
2001-01-01
Abstract
The three-dimensional elasticity energy for a notched rod under axial loads is shown to converge in a variational sense to a class of one-dimensional models with a localized compliance when the beam becomes very slender and when the ratio between the depth and the width of each notch vanishes in a suitable way. Also the case of notched thermal conductors is considered, in a parallel treatment, because it falls in a similar but simpler framework.File in questo prodotto:
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CABIB_FREDDI_MORASSI_PERCIVALE_Thin Notched Beams 2002@2006-12-19T13;48;46.pdf
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