A mixture theory for elastic laminated composites

McNiven, H. D.; Mengi, Y.

doi:10.1016/0020-7683(79)90008-8

Cited by 34 publications

(13 citation statements)

References 10 publications

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“…There are dispersion curves in the intersection of the surfaces β, θ, y, η, Ω, k) and z=0 (see figs. [11][12][13][14][15][16][17][18].…”

Section: The Propagation Of Sh-waves In a Periodically Laminated Mediamentioning

confidence: 99%

Propagation of SH Waves in a Periodically Layered Media in Nonlocal Elasticity

Altan¹,

Artan²

2001

International Journal of Nonlinear Sciences and Numerical Simulation

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Dispersion of horizontally polarized shear waves propagating in a laminated composite is studied within the framework of nonlocal elasticity. A brief summary of nonlocal elasticity is given with an emphasis on its potential for a better modelling the mechanical behaviour of composite materials. Possible deficiency which may exist in the literature on the dispersion relations obtained within the framework of classical elasticity is indicated. Dispersion relation for an SH wave propagation in an infinite medium of alternating layers of two elastic materials is obtained in classical elasticity as well as in nonlocal elasticity. Results are displayed in a series of figure for some values of parameters of the problem. Advantages of nonlocal elasticity over classical one in predicting dispersion in wave propagation is discussed.

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“…There are dispersion curves in the intersection of the surfaces β, θ, y, η, Ω, k) and z=0 (see figs. [11][12][13][14][15][16][17][18].…”

Section: The Propagation Of Sh-waves In a Periodically Laminated Mediamentioning

confidence: 99%

Propagation of SH Waves in a Periodically Layered Media in Nonlocal Elasticity

Altan¹,

Artan²

2001

International Journal of Nonlinear Sciences and Numerical Simulation

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“…It has been used with profound success to model the mechanical behavior of composite materials Stern and Bedford, 1972;Hegemier et al, 1973;Nayfeh and Gurtman, 1974;McNiven and Mengi, 1979a;McNiven and Mengi, 1979b;McNiven and Mengi, 1979c). It is also assumed that the interactions between the constituents of a mixture are accounted for as interaction forces in the appropriate field equations.…”

Section: Mixture Theorymentioning

confidence: 99%

An Elastic Micropolar Mixture Theory for Predicting Elastic Properties of Cellular Materials

Elangovan

Altan²,

Odegard

2008

49th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference &Amp;lt;br> 16th AIAA/ASME/AHS Ada

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An efficient modeling approach is established to predict the elastic response of cellular materials with distributions of cell geometries. The approach does not require complex and timeconsuming computational techniques usually associated with modeling such materials. Unlike most current analytical techniques, the modeling approach directly accounts for the cellular material microstructure. The approach combines micropolar elasticity theory and elastic mixture theory to predict elastic response of cellular materials to a wide range of loading conditions. The modeling approach is applied to the two-dimensional balsa wood material. Predicted properties are in good agreement with experimentally-determined properties, which emphasizes the model's potential to predict the elastic response of other cellular solids, such as open cell and closed cell foams.

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“…Adopting a multi-component or a multi-phase modeling of a continuum system has already been proposed in the context of the theory of mixtures, see for instance [4,7] for a review. Such a point of view can apply to fluid mixtures, solid and fluid for poroelastic media [21,26] or two solids for heterogeneous materials such as laminated composites [7,9,42]. Following the same idea in the case of fiber-reinforced materials, so-called multiphase models have been developed initially in [52,53] without bending effects and in [29] with bending effects by postulating a specific constitutive equation for the matrix and the fiber phase.…”

Section: Introductionmentioning

confidence: 99%

Multiphase continuum models for fiber-reinforced materials

Bleyer¹

2018

Journal of the Mechanics and Physics of Solids

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This contribution addresses the formulation of a generalized continuum model called multiphase model aimed at describing more accurately the mechanical behavior of fiber-reinforced materials. Improving on the classical macroscopic description of heterogeneous materials by an effective homogeneous Cauchy medium, such models rely on the superposition of several continua (or phases) possessing their own kinematics at the macroscopic level and being in mutual interaction (in the same spirit of deformable porous media). Up to now, they have only been formulated based on phenomenological assumptions and the identification of the corresponding constitutive parameters remained unclear. The aim of this paper is threefold. First, a homogenization procedure is described, enabling to derive constitutive parameters from the resolution of a generalized auxiliary problem on a classical heterogeneous microstructure. Second, analytical and numerical derivation of these properties is performed in various cases. Finally, illustrative applications on boundary-value problems assess the validity of the homogenization procedure and illustrate the relevance of such generalized models which are able to capture scale effects and to model crack bridging and delaminated configurations at the macroscopic level. It is also shown to encompass results of shear-lag models for analyzing stress transfers in fiber/matrix composites.

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A mixture theory for elastic laminated composites

Cited by 34 publications

References 10 publications

Propagation of SH Waves in a Periodically Layered Media in Nonlocal Elasticity

Propagation of SH Waves in a Periodically Layered Media in Nonlocal Elasticity

An Elastic Micropolar Mixture Theory for Predicting Elastic Properties of Cellular Materials

Multiphase continuum models for fiber-reinforced materials

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