Advertisement

Definitions of Continuum Mechanics

  • Sergey P. Kiselev
  • Evgenii V. Vorozhtsov
  • Vasily M. Fomin
Chapter
  • 1.3k Downloads
Part of the Modern Birkhäuser Classics book series (MBC)

Abstract

The purpose of the present chapter is to provide a systematic introduction of the basic concepts and definitions of the tensors of strains and stress. The presentation begins with a section, in which we briefly present the elements of tensor analysis. Tensor analysis enables one to present in a simple and elegant form the fundamantals of continuum mechanics, and it is used systematically subsequently throughout the book. We then introduce the definition of the tensors of strains and stress, which characterize a continuum, in a reference frame and in an actual frame without any assumptions on the smallness of strains.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Sergey P. Kiselev
    • 1
  • Evgenii V. Vorozhtsov
    • 2
  • Vasily M. Fomin
    • 2
  1. 1.Novosibirsk State University NovosibirskRussia
  2. 2.Novosibirsk National Research University NovosibirskRussia

Personalised recommendations