000 03536nam a22005175i 4500
001 978-3-7091-1777-4
003 DE-He213
005 20200420221301.0
007 cr nn 008mamaa
008 140123s2014 au | s |||| 0|eng d
020 _a9783709117774
_9978-3-7091-1777-4
024 7 _a10.1007/978-3-7091-1777-4
_2doi
050 4 _aTA405-409.3
050 4 _aQA808.2
072 7 _aTG
_2bicssc
072 7 _aTEC009070
_2bisacsh
072 7 _aTEC021000
_2bisacsh
082 0 4 _a620.1
_223
100 1 _aVetyukov, Yury.
_eauthor.
245 1 0 _aNonlinear Mechanics of Thin-Walled Structures
_h[electronic resource] :
_bAsymptotics, Direct Approach and Numerical Analysis /
_cby Yury Vetyukov.
264 1 _aVienna :
_bSpringer Vienna :
_bImprint: Springer,
_c2014.
300 _aX, 272 p. 474 illus., 17 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aFoundations of Engineering Mechanics,
_x1612-1384
505 0 _aPlane Bending of a Curved Rod -- Mechanics of Rods in Space.-Mechanics of Thin Elastic Shells -- Mechanics of Thin-Walled Rods of Open Profile -- Short Introduction toWolfram's Mathematica.
520 _aThis book presents a hybrid approach to the mechanics of thin bodies. Classical theories of rods, plates and shells with constrained shear are based on asymptotic splitting of the equations and boundary conditions of three-dimensional elasticity. The asymptotic solutions become accurate as the thickness decreases, and the three-dimensional fields of stresses and displacements can be determined. The analysis includes practically important effects of electromechanical coupling and material inhomogeneity. The extension to the geometrically nonlinear range uses the direct approach based on the principle of virtual work. Vibrations and buckling of pre-stressed structures are studied with the help of linearized incremental formulations, and direct tensor calculus rounds out the list of analytical techniques used throughout the book. A novel theory of thin-walled rods of open profile is subsequently developed from the models of rods and shells, and traditionally applied equations are proven to be asymptotically exact. The influence of pre-stresses on the torsional stiffness is shown to be crucial for buckling analysis. Novel finite element schemes for classical rod and shell structures are presented with a comprehensive discussion regarding the theoretical basis, computational aspects and implementation details. Analytical conclusions and closed-form solutions of particular problems are validated against numerical results. The majority of the simulations were performed in the Wolfram Mathematica environment, and the compact source code is provided as a substantial and integral part of the book.
650 0 _aEngineering.
650 0 _aContinuum mechanics.
650 0 _aStructural mechanics.
650 0 _aMechatronics.
650 1 4 _aEngineering.
650 2 4 _aContinuum Mechanics and Mechanics of Materials.
650 2 4 _aStructural Mechanics.
650 2 4 _aMechatronics.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783709117767
830 0 _aFoundations of Engineering Mechanics,
_x1612-1384
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7091-1777-4
912 _aZDB-2-ENG
942 _cEBK
999 _c53172
_d53172