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dc.contributor.author
Lopez Pamies, Oscar
dc.contributor.author
Idiart, Martín Ignacio
dc.date.available
2024-08-20T10:02:14Z
dc.date.issued
2010-01
dc.identifier.citation
Lopez Pamies, Oscar; Idiart, Martín Ignacio; Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory; Springer; Journal Of Engineering Mathematics; 68; 1; 1-2010; 57-83
dc.identifier.issn
0022-0833
dc.identifier.uri
http://hdl.handle.net/11336/242782
dc.description.abstract
We propose a new homogenization theory to model the mechanical response of hyperelastic solids reinforced by a random distribution of aligned cylindrical fibers. The central idea is todevise a special class of microstructures --- by means of an iterated homogenization procedure in finite elasticity together with an exact dilute result for sequential laminates --- that allows tocompute exactly the macroscopic response of the resulting fiber-reinforced materials. The proposed framework incorporates direct microstructural information up to the two-point correlation functions, and requires the solution to a Hamilton-Jacobi equation with the fiber concentration and the macroscopic deformation gradient playing the role of ``time´´ and ``spatial´´ variables, respectively. In addition to providing constitutive models for the macroscopic response of fiber-reinforced materials, the proposed theory also gives information about the local fields in the matrix and fibers, which can be used to study the evolution of microstructure and the development of instabilities. As a first application of the theory, we work out closed-form resultsfor the case of Neo-Hookean solids reinforced by a transversely isotropic distribution of anisotropic fibers. These include a novel explicit criterion for the onset of instabilities under general finite-strain loading conditions.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Fibrous composites
dc.subject
Elastomers
dc.subject
Nonlinear homogenization
dc.subject.classification
Ingeniería Aeroespacial
dc.subject.classification
Ingeniería Mecánica
dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
dc.title
Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2024-08-19T11:46:59Z
dc.journal.volume
68
dc.journal.number
1
dc.journal.pagination
57-83
dc.journal.pais
Alemania
dc.description.fil
Fil: Lopez Pamies, Oscar. State University of New York; Estados Unidos
dc.description.fil
Fil: Idiart, Martín Ignacio. Universidad Nacional de La Plata. Facultad de Ingeniería. Departamento de Aeronáutica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata; Argentina
dc.journal.title
Journal Of Engineering Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10665-009-9359-y
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10665-009-9359-y
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