000 02805nam a22004455i 4500
001 978-1-4020-2982-0
003 DE-He213
005 20161121230930.0
007 cr nn 008mamaa
008 100301s2005 ne | s |||| 0|eng d
020 _a9781402029820
_9978-1-4020-2982-0
024 7 _a10.1007/1-4020-2982-9
_2doi
050 4 _aQA1-939
072 7 _aPB
_2bicssc
072 7 _aMAT000000
_2bisacsh
082 0 4 _a510
_223
100 1 _aPanasenko, G.
_eauthor.
245 1 0 _aMulti-scale Modelling for Structures and Composites
_h[electronic resource] /
_cby G. Panasenko.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2005.
300 _aXIV, 398 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aIntroduction: Basic Notions and Methods -- Heterogeneous Rod -- Heterogeneous Plate -- Finite Rod Structures -- Lattice Structures -- The Multi-Scale Domain Decomposition.
520 _aNumerous 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".
650 0 _aMathematics.
650 0 _aPartial differential equations.
650 0 _aStructural mechanics.
650 1 4 _aMathematics.
650 2 4 _aMathematics, general.
650 2 4 _aPartial Differential Equations.
650 2 4 _aStructural Mechanics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402029813
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-2982-9
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c506069
_d506069