Differential Equations

Read e-book online Multi-scale Modelling for Structures and Composites PDF

By G. Panasenko

Numerous functions of rod buildings in civil engineering, airplane and spacecraft be sure the significance of the subject. nevertheless nearly all of books on structural mechanics use a few simplifying hypotheses; those hypotheses don't enable to contemplate 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 probabilities 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 ebook. in addition, loads of sleek buildings are made up of composite fabrics and for that reason the cloth of the rods isn't homogeneous. This inhomogeneity of the cloth can generate a few unforeseen results. those results are analysed during this e-book. The equipment of multi-scale modelling are offered via the homogenization, multi-level asymptotic research and the area decomposition. those tools supply an entry to a brand new type of hybrid versions combining macroscopic description with "microscopic zooms".

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Multi-scale Modelling for Structures and Composites by G. Panasenko

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