Year: 2014
Author: J. I. Diaz
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 315–331
Abstract
We consider very weak solutions of a nonlinear version (non-Hookean materials) of the beam stationary Bernoulli-Euler equation, as well as the similar extension to plates, involving the bi-Laplacian operator, with Navier (hinged) boundary conditions. We are specially interested in the case in which the usual Sobolev space framework cannot be applied due to the singularity of the load density near the boundary. We present some properties of such solutions as well as some numerical experiences illustrating how the behaviour of the very weak solutions near the boundary is quite different to the one of more regular solutions corresponding to non-singular load functions.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-528
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 2 : pp. 315–331
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Beam and plate non Hookean material very weak solutions numerical experiences.