Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material
Applications of Mathematics, Tome 31 (1986) no. 6, pp. 417-419
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.
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.
DOI :
10.21136/AM.1986.104220
Classification :
73G10, 74B20, 74S30
Keywords: non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example
Keywords: non-polyconvexity; stored energy function; Saint Venant-Kirchhoff material; counter-example
@article{10_21136_AM_1986_104220,
author = {Raoult, Annie},
title = {Non-polyconvexity of the stored energy function of a {Saint} {Venant-Kirchhoff} material},
journal = {Applications of Mathematics},
pages = {417--419},
year = {1986},
volume = {31},
number = {6},
doi = {10.21136/AM.1986.104220},
mrnumber = {0870478},
zbl = {0608.73023},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104220/}
}
TY - JOUR AU - Raoult, Annie TI - Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material JO - Applications of Mathematics PY - 1986 SP - 417 EP - 419 VL - 31 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104220/ DO - 10.21136/AM.1986.104220 LA - en ID - 10_21136_AM_1986_104220 ER -
%0 Journal Article %A Raoult, Annie %T Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material %J Applications of Mathematics %D 1986 %P 417-419 %V 31 %N 6 %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1986.104220/ %R 10.21136/AM.1986.104220 %G en %F 10_21136_AM_1986_104220
Raoult, Annie. Non-polyconvexity of the stored energy function of a Saint Venant-Kirchhoff material. Applications of Mathematics, Tome 31 (1986) no. 6, pp. 417-419. doi: 10.21136/AM.1986.104220
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[3] P. G. Ciarlet: Topics in mathematical elasticity, vol. I. North-Holland, Amsterdam, 1985. | MR
[4] J. Nečas: Introduction to the theory of nonlinear equations. Teubner Texte für Mathematik, Band 52, Leipzig.
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