TY  - BOOK
AU  - de Benito Delgado,Miguel
TI  - Effective two dimensional theories for multi-layered plates
SN  - 3832549846
AV  - Internet Access AEGMCT
U1  - 530510 
PY  - 2019///
CY  - [s.l.]
PB  - Logos Verlag
KW  - Mathematics
KW  - Math�ematiques
KW  - bisacsh
KW  - fast
KW  - Electronic books
N2  - 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
UR  - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=3541177
ER  -