Lagrangian formulation of Hencky's hyperelastic material
Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 2, pp. 155-180
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New representation of the fourth order elasticity tensor for Hencky's hyperelastic isotropic material is obtained. Compactness of this representation is followed by use of eigenprojections of the right Cauchy – Green strain tensor. It is shown that the obtained elasticity tensor possesses both minor symmetries, and the major symmetry.
@article{DVMG_2011_11_2_a3,
author = {S. N. Korobeinikov and A. A. Oleinikov},
title = {Lagrangian formulation of {Hencky's} hyperelastic material},
journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
pages = {155--180},
publisher = {mathdoc},
volume = {11},
number = {2},
year = {2011},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/DVMG_2011_11_2_a3/}
}
TY - JOUR AU - S. N. Korobeinikov AU - A. A. Oleinikov TI - Lagrangian formulation of Hencky's hyperelastic material JO - Dalʹnevostočnyj matematičeskij žurnal PY - 2011 SP - 155 EP - 180 VL - 11 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DVMG_2011_11_2_a3/ LA - ru ID - DVMG_2011_11_2_a3 ER -
S. N. Korobeinikov; A. A. Oleinikov. Lagrangian formulation of Hencky's hyperelastic material. Dalʹnevostočnyj matematičeskij žurnal, Tome 11 (2011) no. 2, pp. 155-180. http://geodesic.mathdoc.fr/item/DVMG_2011_11_2_a3/