Foundations of Engineering Mechanics

Nonlinear Mechanics of Thin-Walled Structures

Asymptotics, Direct Approach and Numerical Analysis

Authors: Vetyukov, Yury

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  • Hybrid approach is for the first time applied to thin-walled rods of open profile
  • Simulations in Wolfram Mathematica environment on the basis of high level theoretical investigations will make the book attractive
  • A combination of modern analytical methods leads to trustworthy and transparent results even for electromechanically coupled problems
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  • Due: November 4, 2016
  • ISBN 978-3-7091-1976-1
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About this 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.

Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $99.00
price for USA in USD (gross)
  • ISBN 978-3-7091-1777-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-7091-1776-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week).
  • Due: November 4, 2016
  • ISBN 978-3-7091-1976-1
  • Free shipping for individuals worldwide
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Nonlinear Mechanics of Thin-Walled Structures
Book Subtitle
Asymptotics, Direct Approach and Numerical Analysis
Authors
Series Title
Foundations of Engineering Mechanics
Copyright
2014
Publisher
Springer-Verlag Wien
Copyright Holder
Springer-Verlag Wien
eBook ISBN
978-3-7091-1777-4
DOI
10.1007/978-3-7091-1777-4
Hardcover ISBN
978-3-7091-1776-7
Softcover ISBN
978-3-7091-1976-1
Series ISSN
1612-1384
Edition Number
1
Number of Pages
X, 272
Number of Illustrations
457 b/w illustrations, 17 illustrations in colour
Topics