Effective two dimensional theories for multi-layered plates

• Yazar: de Benito Delgado, Miguel (auth)
• Materyal Türü: Elektronik Kitap Bölümü
• Dil: İngilizce
• Baskı/Yayın Bilgisi: Berlin/Germany Logos Verlag Berlin 2019
• Seri Bilgileri: Augsburger Schriften zur Mathematik, Physik und Informatik 37
• Konular: Integral calculus & equations; elastic plates; effective model hierarchy; gamma convergence; non-conforming penalty method; Kirchhoff
• Online Erişim: DOAB: download the publication; DOAB: description of the publication

Özet

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 Kármán one. An intermediate von Kármán-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.

Fiziksel Özellikler

1 electronic resource (139 p.)

ISBN

4984
9783832549848

Erişim

Open Access