Skip to main content

Part of the book series: Ergebnisse der Angewandten Mathematik ((ERG ANGEW MATHE,volume 7))

  • 167 Accesses

Abstract

By the term three-dimensional continuous body, S, I refer to a natural body which can be represented mathematically as follows: a) S fills a region C of three-dimensional space, b) S has mass m, defined by

$$ m = \int\limits_{C} {kdC} $$
((1.1))

where k is the density.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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. The conditions of integrability for the tensor of deformation are given explicitly in [Platrier, C.].

    Google Scholar 

Download references

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1962 Springer-Verlag OHG, Berlin · Göttingen · Heidelberg

About this chapter

Cite this chapter

Grioli, G. (1962). Kinematic Introduction. In: Mathematical Theory of Elastic Equilibrium. Ergebnisse der Angewandten Mathematik, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87432-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-87432-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-02804-8

  • Online ISBN: 978-3-642-87432-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics