On the structure of the group g*1 appearing in hyperelasticity

R. R. Huilgol

doi:10.1016/0020-7462(71)90003-5

On the structure of the group g^*₁ appearing in hyperelasticity

R. R. Huilgol

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

In the representation theorem for the stored energy function of a hyperelastic material, it is necessary to determine a subgroup g^*₁ of the symmetry group g of the stress tensor. It is the purpose of this note to study the construction of g^*₁ and its relation to the other subgroups ot g, viz. the commutator subgroup g_c and the orthogonal subgroup g₀.

Original language	English
Pages (from-to)	677-681
Number of pages	5
Journal	International Journal of Non-Linear Mechanics
Volume	6
Issue number	6
DOIs	https://doi.org/10.1016/0020-7462(71)90003-5
Publication status	Published - Dec 1971
Externally published	Yes

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title = "On the structure of the group g*1 appearing in hyperelasticity",

abstract = "In the representation theorem for the stored energy function of a hyperelastic material, it is necessary to determine a subgroup g*1 of the symmetry group g of the stress tensor. It is the purpose of this note to study the construction of g*1 and its relation to the other subgroups ot g, viz. the commutator subgroup gc and the orthogonal subgroup g0.",

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AB - In the representation theorem for the stored energy function of a hyperelastic material, it is necessary to determine a subgroup g*1 of the symmetry group g of the stress tensor. It is the purpose of this note to study the construction of g*1 and its relation to the other subgroups ot g, viz. the commutator subgroup gc and the orthogonal subgroup g0.

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JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

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ER -

On the structure of the group g^*₁ appearing in hyperelasticity

Abstract

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