Effective two dimensional theories for multi-layered plates
By (author) Miguel de Benito Delgado
Paperback (Published)
(December 2019)
ISBN: 9783832549848
5.75 x 8.31 inches
Price: $57.00
In stock
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 Karman one. An intermediate von Karman-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.
- By (author) Miguel de Benito Delgado
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Rigorous Existence and Convergence Results for the Boundary Value Problems
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The Lifted Root Number Conjecture for small sets of places and an application to CM-extensions
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Effective Theories for Brittle Materials
A Derivation of Cleavage Laws and Linearized Griffith Energies from Atomistic and Continuum Nonlinear Models
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