By G. Panasenko
Numerous purposes of rod buildings in civil engineering, airplane and spacecraft verify the significance of the subject. however nearly all of books on structural mechanics use a few simplifying hypotheses; those hypotheses don't let to think about a few very important results, for example the boundary layer results close to the issues of junction of rods. So the query in regards to the limits of applicability of structural mechanics hypotheses and the chances in their refinement come up. during this connection the asymptotic research of equations of mathematical physics, the equations of elasticity in rod constructions (without those hypotheses and simplifying assumptions being imposed) is undertaken within the current e-book. furthermore, loads of sleek constructions are made up of composite fabrics and consequently the fabric of the rods isn't homogeneous. This inhomogeneity of the cloth can generate a few unforeseen results. those results are analysed during this booklet. The equipment of multi-scale modelling are provided by means of the homogenization, multi-level asymptotic research and the area decomposition. those tools supply an entry to a brand new category of hybrid versions combining macroscopic description with "microscopic zooms".
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Multi-scale Modelling for Structures and Composites by G. Panasenko