Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory (Q718926)

scientific article; zbMATH DE number 5950586

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English	Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory	scientific article; zbMATH DE number 5950586

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instance of

scholarly article

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title

Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory (English)

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Journal of Engineering Mathematics

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publication date

27 September 2011

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zbMATH Keywords

finite strain

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Hamilton-Jacobi equation

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instability

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microstructure

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1007/s10665-009-9359-y

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cites work

Q5649475

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Instabilities of a Finitely Deformed Fiber-Reinforced Elastic Material

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Mechanical response of fiber-reinforced incompressible non-linearly elastic solids

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Neo-Hookean fiber-reinforced composites in finite elasticity

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Homogenization estimates for fiber-reinforced elastomers with periodic microstructures

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A general hyperelastic model for incompressible fiber-reinforced elastomers

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Modeling the macroscopic behavior of two-phase nonlinear composites by infinite-rank laminates

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Transversely isotropic sequentially laminated composites in finite elasticity

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On constitutive macro-variables for heterogeneous solids at finite strain

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Homogenization of nonlinearly elastic materials, microscopic bifurcation and macroscopic loss of rank-one convexity

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Failure Surfaces for Finitely Strained Two-Phase Periodic Solids Under General In-Plane Loading

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Microscopic and macroscopic instabilities in finitely strained porous elastomers

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Microscopic and macroscopic instabilities in finitely strained fiber-reinforced elastomers

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Corrigendum to ``On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. II: Application to cylindrical fibers'': [J. Mech. phys. Solids 54 (2006) 831-863]

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Large isotropic elastic deformation of composites and porous media

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The Theory of Composites

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The determination of the elastic field of an ellipsoidal inclusion, and related problems

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On the overall behavior, microstructure evolution, and macroscopic stability in reinforced rubbers at large deformations. I: Theory

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Onset of cavitation in compressible, isotropic, hyperelastic solids

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On the Comparison Between Microscopic and Macroscopic Instability Mechanisms in a Class of Fiber-Reinforced Composites

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Onset of failure in finitely strained layered composites subjected to combined normal and shear loading

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Optimization of structural topology in the high-porosity regime

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Bounds and self-consistent estimates for the overall properties of anisotropic composites

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Q4781183

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The effect of spatial distribution on the effective behavior of composite materials and cracked media

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A study of the differential scheme for composite materials

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Extremum principles in non-linear elasticity and their application to composites - I

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Exact results for the homogenization of elastic fiber-reinforced solids at finite strain

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Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory

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Field statistics in nonlinear composites. I. Theory

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Instabilities and loss of ellipticity in fiber-reinforced compressible nonlinearly elastic solids under plane deformation.

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Bounds and perturbation series for incompressible elastic composites with transverse isotropic symmetry

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Finite deformation of incompressible fiber-reinforced elastomers: a computational micromechanics approach

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The Hamilton-Jacobi equation. A global approach

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Q5826382

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Identifiers

zbMATH Open document ID

1303.74013

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Mathematics Subject Classification ID

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10.1007/S10665-009-9359-Y

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Sitelinks

Mathematics(1 entry)

mardi Publication:718926