USE OF SOME THEOREMS RELATED WITH THE TENSOR EQUATION AX + XA = H FOR SOME CLASSES OF IMPLICIT CONSTITUTIVE RELATIONS
Author
dc.contributor.author
Sfyris, D.
Author
dc.contributor.author
Bustamante, R.
es_CL
Admission date
dc.date.accessioned
2014-02-03T17:30:57Z
Available date
dc.date.available
2014-02-03T17:30:57Z
Publication date
dc.date.issued
2013
Cita de ítem
dc.identifier.citation
Q. Jl Mech. Appl. Math, Vol. 66. No. 2
en_US
Identifier
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doi:10.1093/qjmam/hbs023
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/126360
General note
dc.description
Artículo de publicación ISI
en_US
Abstract
dc.description.abstract
The implicit function theorem is used to obtain some necessary and sufficient conditions, for
which an implicit constitutive relation can be solved in terms of the stresses and strains, in the
sense of expressing, for example, the strains in terms of the stresses or vice versa. For an isotropic
body some exact solutions for the strains in term of the stresses are presented, using the theory of
tensor equations of the form AX +XA = H. For the exact solutions considered, conditions for the
existence and the uniqueness are given.