Effective two dimensional theories for multi-layered plates /
de Benito Delgado, Miguel,
Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. - 1 online resource (1 p.)
This work introduces a family of effective plate theories for multilayered materials with internal misfit. This is done for scaling laws ranging from Kirchhoff's theory to the linearised von K�arm�an one. An intermediate von K�arm�an-like theory is introduced to play a central interpolating role with a new parameter which switches between the adjacent regimes. After proving the necessary Gamma-convergence and compactness results, minimising configurations are characterised. Finally, the interpolating theory is numerically approximated using a discrete gradient flow and the relevant Gamma-convergence and compactness results for the discretisation are proved. This provides empirical evidence for the existence of a critical region of the parameter around which minimisers experience a stark qualitative change.
3832549846 9783832549848
https://doi.org/10.30819/4984
Mathematics.
Mathematics
Math�ematiques.
Mathematics.
Mathematics.
--Electronic books.
Internet Access / AEGMCT
530 510
Effective two dimensional theories for multi-layered plates / Miguel de Benito Delgado. - 1 online resource (1 p.)
This work introduces a family of effective plate theories for multilayered materials with internal misfit. This is done for scaling laws ranging from Kirchhoff's theory to the linearised von K�arm�an one. An intermediate von K�arm�an-like theory is introduced to play a central interpolating role with a new parameter which switches between the adjacent regimes. After proving the necessary Gamma-convergence and compactness results, minimising configurations are characterised. Finally, the interpolating theory is numerically approximated using a discrete gradient flow and the relevant Gamma-convergence and compactness results for the discretisation are proved. This provides empirical evidence for the existence of a critical region of the parameter around which minimisers experience a stark qualitative change.
3832549846 9783832549848
https://doi.org/10.30819/4984
Mathematics.
Mathematics
Math�ematiques.
Mathematics.
Mathematics.
--Electronic books.
Internet Access / AEGMCT
530 510