Prof. Ivo M. Babuska 
(University of Texas at Austin) 

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    Analysis of fiber composites used in the airplanes.
Mathematical modelling, numerical treatment and interpretation.
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                           Abstract. 
Fiber composites are widely used in the airplanes (for example Airbus).
The lecture will present the problems of modelling (validation) 
and numerical analysis of the problem. Linear elasticity PDE's
is used as the basic model. Various aspects will be addressed:
a) Micro and nano structure of the composite will be shown and
   applicability  of linear elasticity PDE will be discussed;
b) Detailed description of the position of the fibers from the
   experiments will be shown. Statistic characterization will be
   addressed;
c) Numerical treatment of the deterministic problem (based on 
   the knowledge of exact position of the fibers) will be addressed;
d) Problem of the stochastic information and their use in mathematical 
   formulation will be discussed.