Skip to main content

Basic Variational Principles of Static and Geometry in Structural Mechanics

  • Chapter
Mechanics of Structural Elements

Part of the book series: Foundations Engineering Mechanics ((FOUNDATIONS))

  • 1525 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Descloux J (1973) Methode des elements finis. Departement de mathematiques. Lausanne, Suisse

    Google Scholar 

  2. Filin AP (1978) Applied mechanics of deformable solids, Vol. 2 (in Russian). Nauka, Moscow

    Google Scholar 

  3. Mikhlin SG (1970) Variational methods in mathematical physics (in Russian) Nauka, Moscow

    Google Scholar 

  4. Mikhlin SG (1977) Linear equations in partial derivatives(in Russian). Vysshaya shkola, Moscow

    Google Scholar 

  5. Novozhilov VV(1958) Theory of elasticity(in Russian). Sudpromgiz, Leningrad

    Google Scholar 

  6. Papkovich PF (1939) Theory of elasticity (in Russian). Oborongiz, Leningrad

    Google Scholar 

  7. Rozin LA (1978) Variational formulations of problems for elastic systems (in Russian). Leningrad State Univ., Leningrad

    Google Scholar 

  8. Rozin LA (1998) Problems of elasticity and numerical methods for their solution (in Russian). St. Petersburg Technical University, St. Petersburg

    Google Scholar 

  9. Rzhanitsyn AR (1982) Structural mechanics (in Russian). Vysshaya shkola, Moscow

    Google Scholar 

  10. Shames IH, Dym CL (1991) Energy and Finite Element Methods in Structural Mechanics. Taylor & Francis

    Google Scholar 

  11. Slivker VI (1982) Ritz method in problems of elasticity, based on sequentially minimizing two functionals (in Russian). Trans. Acad. Sci. USSR, Mech. of Solids 2: 57-64

    MathSciNet  Google Scholar 

  12. Washizu К (1982) Variational methods in elasticity and plasticity. Pergamon Press, Oxford New York Toronto Paris Frankfurt

    MATH  Google Scholar 

  13. Young L (1969) Lectures on the calculus of variations and optimal control theory. W.B. Saunders company, Philadelphia London Toronto

    MATH  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

(2007). Basic Variational Principles of Static and Geometry in Structural Mechanics. In: Mechanics of Structural Elements. Foundations Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44721-4_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-44721-4_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44718-4

  • Online ISBN: 978-3-540-44721-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics