Skip to main content
Log in

Differential Relations between the Changes in the Strained State and the Level of Strains

  • Published:
Materials Science Aims and scope

Abstract

We construct differential relationships between the variations of the parameters of the strained state (distortion tensor and the level of Cauchy strains) and the variations of the actual and normal configurations. The normal configuration is the objective reference configuration for the strained state and varies as a function all types of parameters of state (e.g., thermal, electric, and magnetic).

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

REFERENCES

  1. A. I. Lur'e, Nonlinear Theory of Elasticity [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. G. A. Maugin, Continuum Mechanics of Electromagnetic Solids, North-Holland, Amsterdam (1988).

  3. I. B. Prokopovych, “Mathematical formulation of the reference invariance of strain dependence in the functions of state,” Mashynoznavstvo, No. 9, 28–32 (2002).

    Google Scholar 

  4. I. B. Prokopovych, “Potentials of state and equations of the material for two specific reference configurations,” Fiz.-Khim. Mekh. Mater., 39, No. 2, 25–32 (2003).

    Google Scholar 

  5. C. Truesdell, A First Course in Rational Continuum Mechanics, J. Hopkins Univ., Baltimore (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Prokopovych, I.B. Differential Relations between the Changes in the Strained State and the Level of Strains. Materials Science 39, 517–523 (2003). https://doi.org/10.1023/B:MASC.0000010929.96485.b3

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:MASC.0000010929.96485.b3

Keywords

Navigation