ISSN:
1573-2703
Keywords:
stress
;
internal constraints
;
Bell and Ericksen materials
;
finite strains.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Technology
Notes:
Abstract The Cauchy stress tensor, T_ij, is considered for an elastic material which is subject to any internal isotropic constraint, apart from the constraint of incompressibility. For a given strain, it is seen that if in a given basis one of the eigenvectors of the stress tensor has a zero component, say the αth component, and if the arbitrary scalar term in the stress may be chosen so that T_αβ(α≠β) shear stress component is zero, then the stress tensor has a double eigenvalue. This means that there is a great simplification in the stress field. The given strain may be maintained experimentally by a simple tension superimposed upon a hydrostatic stress field. Examples are presented for Bell-constrained and Ericksen-constrained materials.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1004761606175
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