Restrictions on the Strain-Energy Function for an Elastic Material  

Oleh:

Rivlin, Ronald S.

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 9 no. 2 (Apr. 2004), page 131-139.
Topik: elastic material; isotropic; transversely isotropic; Baker-Ericksen
Fulltext: 131MMS92.pdf (667.04KB)

Isi artikel

Conditions are obtained for the incremental shear modulus to be positive for small simple shear superposed on a pure homogeneous deformation of an elastic material, the direction and plane of shear being parallel to a principal direction and principal plane respectively. Results are obtained for an isotropic elastic material and for a transversely isotropic elastic material in which the axis of rotational symmetry is in a principal direction of the pure homogeneous deformation. For an isotropic material, it is shown that the Baker-Ericksen condition on the strain- energy function follows from the assumption that the incremental shear modulus is positive. A number of further conditions that have been proposed are shown to be unacceptable.

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