de Benito Delgado, Miguel, <br/><br/>
Effective two dimensional theories for multi-layered plates / 
Miguel de Benito Delgado. 
 - 1 online resource (1 p.) 
<br/><br/> 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. 
<br/><br/><label>ISBN: </label>3832549846 9783832549848 
<br/><br/><label>Standard No.: </label>https://doi.org/10.30819/4984 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Mathematics.<br/>Mathematics<br/>Math�ematiques.<br/>Mathematics.<br/>Mathematics.
<br/><br/><label>Index Terms--Genre/Form: </label>--Electronic books.
<br/><br/><label>LC Class. No.: </label>Internet Access  / AEGMCT 
<br/><br/><label>Dewey Class. No.: </label>530  510