TY - JOUR
T1 - Non-Hookean Beams and Plates: Very Weak Solutions and Their Numerical Analysis
AU - Diaz , J. I.
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 315
EP - 331
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/528.html
KW - Beam and plate, non Hookean material, very weak solutions, numerical experiences.
AB - <p style="text-align: justify;">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.</p>