Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material

Annie Raoult

Aplikace matematiky (1986)

  • Volume: 31, Issue: 6, page 417-419
  • ISSN: 0862-7940

Abstract

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A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material is given by means of a simple counter-example.

How to cite

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Raoult, Annie. "Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material." Aplikace matematiky 31.6 (1986): 417-419. <http://eudml.org/doc/15466>.

@article{Raoult1986,
abstract = {A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material is given by means of a simple counter-example.},
author = {Raoult, Annie},
journal = {Aplikace matematiky},
keywords = {non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example; non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example},
language = {eng},
number = {6},
pages = {417-419},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material},
url = {http://eudml.org/doc/15466},
volume = {31},
year = {1986},
}

TY - JOUR
AU - Raoult, Annie
TI - Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material
JO - Aplikace matematiky
PY - 1986
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 6
SP - 417
EP - 419
AB - A direct proof of the non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material is given by means of a simple counter-example.
LA - eng
KW - non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example; non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example
UR - http://eudml.org/doc/15466
ER -

References

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  1. J. Ball, 10.1007/BF00279992, Arch. Rat. Mech. Anal. 63 (1977), p. 337-403. (1977) Zbl0368.73040MR0475169DOI10.1007/BF00279992
  2. P. G. Ciarlet, Lectures on three-dimensional elasticity, Tata Institute Lecture Notes, Springer- Verlag, 1983. (1983) Zbl0542.73046MR0730027
  3. P. G. Ciarlet, Topics in mathematical elasticity, vol. I, North-Holland, Amsterdam, 1985. (1985) MR0936420
  4. J. Nečas, Introduction to the theory of nonlinear equations, Teubner Texte für Mathematik, Band 52, Leipzig. 

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