A spectral approach for nonlinear transversely isotropic elastic bodies, for a new class of constitutive equation: Applications to rock mechanics
Author
dc.contributor.author
Shariff, M.H.B.M.
Author
dc.contributor.author
Bustamante Plaza, Roger
Admission date
dc.date.accessioned
2020-11-19T18:30:24Z
Available date
dc.date.available
2020-11-19T18:30:24Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Acta Mech 231, 4803–4818 (2020)
es_ES
Identifier
dc.identifier.other
10.1007/s00707-020-02797-2
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/177808
Abstract
dc.description.abstract
A constitutive equation is provided for nonlinear transversely isotropic elastic solids, wherein the linearized strain tensor is assumed to be a function of the Cauchy stress tensor; this elastic constitutive equation belongs to a subclass of a more general set of implicit constitutive relations proposed in the recent years. The proposed constitutive equation is valid for both compressible and incompressible bodies and can be simply modified, to exclude the mechanical influence of compressed fibres and to model inextensible fibres. A crude specific constitutive model is proposed to compare with a uniaxial experimental data on Marcellus shale. Some simple boundary value problems are analyzed.
es_ES
Patrocinador
dc.description.sponsorship
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)
CONICYT FONDECYT
1160030