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Scientific Computation

Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells

Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods

Authors: Awrejcewicz, Jan, Krysko, Vadim A.

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eBook $109.00
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  • ISBN 978-3-642-55677-7
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Hardcover $179.99
price for USA in USD
  • ISBN 978-3-540-43880-9
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  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-62869-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

This monograph, addressing researchers as well as engineers, is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. Differential equations of different dimensionality and different type have to be combined and nonlinearities of different geometrical, physical or elasto-plastic categories are addressed. Special emphasis is given to the Bubnov--Galerkin method. It can be applied to many problems in the theory of plates and shells, even those with very complex geometries, holes and various boundary conditions. The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented so that the reader can understand, analyse and track the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviours.

Reviews

"A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. [...] The outlook of the book is quite inviting, and with 222 vivid illustrations and a lucid language style of the text, the book is able to absorb and engage the reader quite well. The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity and vibration of plates." (Journal of Sound and Vibration, 266/5, 2003)

"The authors made every effort to keep the text intelligible for both practitioners and graduate students, although they offer a rigorous treatment of both purely mathematical and numerical approaches presented, so that the reader can understand, analyse and follow the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviour." (Zentralblatt MATH 1015, 2003)

"This book presents a 'collection' of mathematical and numerical results pertaining to thermoelastic shell problems. ... this book can certainly be useful to shell experts, especially as regards the techniques demonstrated to model and mathematically analyse thermoelastic effects in shell structures." (Dominique Chapelle, SIAM Review, Vol. 48 (1), 2006)

"In this book the authors describe the non-linear theory of plates and shells. Geometric, physical, elastoplastic and periodic nonlinearities are considered. … The book is very useful for research activity, concerning both theoretical and applied problems, in nonclassical thermomechanics. Among other merits of the book, I would like to note an advanced analysis of a ‘transition’ problem, where different physical regimes may exist in different domains of the same problem … ." (Michele Ciarletta, Mathematical Reviews, 2003 m)

"A unique feature of this book is the nice blend of engineering vividness and mathematical rigour. A comprehensive review of previous research work … must prove very useful to young researchers … . The outlook of the book is quite inviting, and with 222 vivid illustrations and a lucid language style … the book is able to absorb and engage the reader quite well. The authors are to be congratulated for their valuable contribution to the literature in the area of theoretical thermoelasticity … ." (K. M. Liew, Journal of Sound Vibration, Vol. 266 (5), 2003)

"This monograph is devoted to nonclassical thermoelastic modelling of the nonlinear dynamics of shells. … The authors make every effort to keep the text intelligible for both practiotioners and graduate students … so that the reader can understand, analyse and follow the nonlinear dynamics of spatial systems (shells) with thermomechanical behaviour." (Vasily A. Chernecky, Zentralblatt MATH, Vol. 1015, 2003)


Table of contents (9 chapters)

  • Introduction

    Awrejcewicz, Professor Jan (et al.)

    Pages 1-13

  • Coupled Thermoelasticity and Transonic Gas Flow

    Awrejcewicz, Professor Jan (et al.)

    Pages 15-114

  • Estimation of the Errors of the Bubnov-Galerkin Method

    Awrejcewicz, Professor Jan (et al.)

    Pages 115-163

  • Numerical Investigations of the Errors of the Bubnov-Galerkin Method

    Awrejcewicz, Professor Jan (et al.)

    Pages 165-178

  • Coupled Nonlinear Thermoelastic Problems

    Awrejcewicz, Professor Jan (et al.)

    Pages 179-216

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-642-55677-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.99
price for USA in USD
  • ISBN 978-3-540-43880-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-642-62869-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Nonclassical Thermoelastic Problems in Nonlinear Dynamics of Shells
Book Subtitle
Applications of the Bubnov-Galerkin and Finite Difference Numerical Methods
Authors
Series Title
Scientific Computation
Copyright
2003
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-55677-7
DOI
10.1007/978-3-642-55677-7
Hardcover ISBN
978-3-540-43880-9
Softcover ISBN
978-3-642-62869-6
Series ISSN
1434-8322
Edition Number
1
Number of Pages
X, 429
Topics