Nonlinear Mechanics of Thin-Walled Structures Asymptotics, Direct Approach and Numerical Analysis

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  • Engels
  • Hardcover
  • 9783709117767
  • 05 februari 2014
  • 284 pagina's
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Samenvatting

This book presents a hybrid approach to the mechanics of thin bodies for rods, plates and shells. The majority of the simulations were performed in the Wolfram Mathematica environment and the compact source code is provided as an integral part of the book.

This 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.

Productspecificaties

Inhoud

Taal
en
Bindwijze
Hardcover
Oorspronkelijke releasedatum
05 februari 2014
Aantal pagina's
284
Illustraties
Nee

Betrokkenen

Hoofdauteur
Yury Vetyukov
Hoofduitgeverij
Springer Verlag Gmbh

Overige kenmerken

Editie
2014 ed.
Extra groot lettertype
Nee
Product breedte
155 mm
Product lengte
235 mm
Studieboek
Ja
Verpakking breedte
165 mm
Verpakking hoogte
19 mm
Verpakking lengte
235 mm
Verpakkingsgewicht
522 g

EAN

EAN
9783709117767

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