caa a22 4500 475840119 CHVBK 20180406123859.0 cr unu---uuuuu 170329e20000201xx s 000 0 eng 10.1023/A:1004761606175 doi (NATIONALLICENCE)springer-10.1023/A:1004761606175 The Cauchy stress tensor for a material subject to an isotropic internal constraint [Elektronische Daten] [M. Hayes, G. Saccomandi] 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. Kluwer Academic Publishers, 2000 stress nationallicence internal constraints nationallicence Bell and Ericksen materials nationallicence finite strains nationallicence Hayes M. Department of Mathematical Physics, University College, Dublin 4, Ireland aut Saccomandi G. Dipartimento di Ingegneria Industriale, Università degli Studi, 06125, Perugia, Italy aut Journal of Engineering Mathematics Kluwer Academic Publishers 37/1-3(2000-02-01), 85-92 0022-0833 37:1-3<85 2000 37 10665 https://doi.org/10.1023/A:1004761606175 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004761606175 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Hayes M. Department of Mathematical Physics, University College, Dublin 4, Ireland aut NATIONALLICENCE 700 1- Saccomandi G. Dipartimento di Ingegneria Industriale, Università degli Studi, 06125, Perugia, Italy aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 37/1-3(2000-02-01), 85-92 0022-0833 37:1-3<85 2000 37 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer