Multi-scale Modelling for Structures and Composites

Released on by G. Panasenko
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  • Multi-scale Modelling for Structures and Composites Book Detail

  • Author : G. Panasenko
  • Release Date : 2005-02-09
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 426
  • ISBN 13 : 9781402029813
  • File Size : 72,72 MB
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Multi-scale Modelling for Structures and Composites by G. Panasenko PDF Summary

Book Description: Numerous applications of rod structures in civil engineering, aircraft and spacecraft confirm the importance of the topic. On the other hand the majority of books on structural mechanics use some simplifying hypotheses; these hypotheses do not allow to consider some important effects, for instance the boundary layer effects near the points of junction of rods. So the question concerning the limits of applicability of structural mechanics hypotheses and the possibilities of their refinement arise. In this connection the asymptotic analysis of equations of mathematical physics, the equations of elasticity in rod structures (without these hypotheses and simplifying assumptions being imposed) is undertaken in the present book. Moreover, a lot of modern structures are made of composite materials and therefore the material of the rods is not homogeneous. This inhomogeneity of the material can generate some unexpected effects. These effects are analysed in this book. The methods of multi-scale modelling are presented by the homogenization, multi-level asymptotic analysis and the domain decomposition. These methods give an access to a new class of hybrid models combining macroscopic description with "microscopic zooms".

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Multiscale Modeling in Solid Mechanics

Multiscale Modeling in Solid Mechanics

File Size : 45,45 MB
Total View : 810 Views
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This unique volume presents the state of the art in the field of multiscale modeling in solid mechanics, with particular emphasis on computational approaches. F