International Series of Numerical Mathematics

Asymptotic methods in mechanics of solids

Authors: Bauer, S.M., Filippov, S.B., Smirnov, A.L., Tovstik, P.E., Vaillancourt, R.

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  • For students: Numerous exercises with answers and solutions, plots and tables
  • For researchers: Vast references to the relevant Russian literature not well known or unavailable for an English speaking reader
  • For engineers: Numerous problems on deformation, buckling and vibrations of thin-walled structural elements with a comparison of results obtained by asymptotic, analytical and numerical approaches
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eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-18311-4
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Hardcover 103,99 €
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  • ISBN 978-3-319-18310-7
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  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 98,79 €
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  • ISBN 978-3-319-38682-9
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  • Usually dispatched within 3 to 5 business days.
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About this book

The construction of solutions of singularly perturbed systems of equations and boundary value problems that are characteristic for the mechanics of thin-walled structures are the main focus of the book. The theoretical results are supplemented by the analysis of problems and exercises. Some of the topics are rarely discussed in the textbooks, for example, the Newton polyhedron, which is a generalization of the Newton polygon for equations with two or more parameters. After introducing the important concept of the index of variation for functions special attention is devoted to eigenvalue problems containing a small parameter. The main part of the book deals with methods of asymptotic solutions of linear singularly perturbed boundary and boundary value problems without or with turning points, respectively. As examples, one-dimensional equilibrium, dynamics and stability problems for rigid bodies and solids are presented in detail. Numerous exercises and examples as well as vast references to the relevant Russian literature not well known for an English speaking reader makes this a indispensable textbook on the topic.

Reviews

“The book might be considered as an advanced course with emphasize on applications. … this book is a valuable contribution and a valuable complement of the existing literature in the field of asymptotic methods. The integration of the applications from Mechanics of solids should enlarge the circle of the potential readers.” (Vladimir Răsvan, zbMATH 1330.34001, 2016)


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook 79,72 €
price for Spain (gross)
  • ISBN 978-3-319-18311-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 103,99 €
price for Spain (gross)
  • ISBN 978-3-319-18310-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 98,79 €
price for Spain (gross)
  • ISBN 978-3-319-38682-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Asymptotic methods in mechanics of solids
Authors
Series Title
International Series of Numerical Mathematics
Series Volume
167
Copyright
2015
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-18311-4
DOI
10.1007/978-3-319-18311-4
Hardcover ISBN
978-3-319-18310-7
Softcover ISBN
978-3-319-38682-9
Series ISSN
0373-3149
Edition Number
1
Number of Pages
XXI, 325
Number of Illustrations
88 b/w illustrations
Topics