Search Results - "Auffray, Nicolas"

On the Failure of Classic Elasticity in Predicting Elastic Wave Propagation in Gyroid Lattices for Very Long Wavelengths by Rosi, Giuseppe, Auffray, Nicolas, Combescure, Christelle

“…In this work we investigate the properties of elastic waves propagating in gyroid lattices. First, we rigorously characterize the lattice from the point of…”
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Symmetry Classes and Matrix Representations of the 2D Flexoelectric Law by Abdoul-Anziz, Houssam, Auffray, Nicolas, Desmorat, Boris

“…We determine the different symmetry classes of bi-dimensional flexoelectric tensors. Using the harmonic decomposition method, we show that there are six…”
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On the validity range of strain-gradient elasticity: A mixed static-dynamic identification procedure by Rosi, Giuseppe, Placidi, Luca, Auffray, Nicolas

“…Wave propagation in architectured materials, or materials with microstructure, is known to be dependent on the ratio between the wavelength and a…”
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Strain-gradient homogenization: A bridge between the asymptotic expansion and quadratic boundary condition methods by Monchiet, Vincent, Auffray, Nicolas, Yvonnet, Julien

“…•A homogenization approach is provided to compute the strain gradient elasticity coefficients.•We modify the method based on quadratic boundary conditions to…”
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Computational second-order homogenization of materials with effective anisotropic strain-gradient behavior by Yvonnet, J., Auffray, N., Monchiet, V.

“…A computational homogenization method to determine the effective parameters of Mindlin’s Strain Gradient Elasticity (SGE) model from a local heterogeneous…”
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Continuum modelling of frequency dependent acoustic beam focusing and steering in hexagonal lattices by Rosi, Giuseppe, Auffray, Nicolas

“…Wave propagation in hexagonal lattices is characterised by a transition from isotropic to anisotropic regime as the frequency increases. This feature cannot be…”
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On the isotropic moduli of 2D strain-gradient elasticity by Auffray, Nicolas

“…In the present paper, the simplest model of strain-gradient elasticity will be considered, that is, the isotropy in a bidimensional space. Paralleling the…”
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Quasi-periodic lattices: Pattern matters too by Somera, Audrey, Poncelet, Martin, Auffray, Nicolas, Réthoré, Julien

“…[Display omitted] Two kinds of behaviour are commonly distinguished among porous architectured materials: stretching-dominated and bending-dominated ones. One…”
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On exotic linear materials: 2D elasticity and beyond by Mou, Guangjin, Desmorat, Boris, Turlin, Robin, Auffray, Nicolas

“…The symmetry classes of a linear constitutive law define the different types of anisotropy that can be modelled by it. However, the spaces of linear materials…”
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Invariant-based reconstruction of bidimensionnal elasticity tensors by Auffray, Nicolas, Ropars, Pierre

“…In the present paper a method to reconstruct the 2D elasticity tensor from observations is proposed. The novelty of the method, compared to other ones, is that…”
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A complete description of bi-dimensional anisotropic strain-gradient elasticity by Auffray, N., Dirrenberger, J., Rosi, G.

“…In the present paper spaces of fifth-order tensors involved in bidimensional strain gradient elasticity are studied. As a result complete sets of matrices…”
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Identification of the constitutive parameters of strain gradient elasticity using guided wave propagation in architectured materials by Rosi, Giuseppe, Bochud, Nicolas, Nguyen, Vu-Hieu, Auffray, Nicolas

“…In this work we introduce an identification procedure for the numerical assessment of the constitutive parameters of strain gradient elasticity (SGE) for…”
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On the algebraical structure of isotropic generalized elasticity theories by Auffray, Nicolas

“…In this paper the algebraical structure of the isotropic nth-order gradient elasticity is investigated. In the classical isotropic elasticity it is well-known…”
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Toward a homogenizing machine by Dassonville, Thibault, Poncelet, Martin, Auffray, Nicolas

“…The idea of an experimental homogenization device adapted to the case of architectural materials is discussed here. Although more advanced homogenization…”
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Anisotropic and dispersive wave propagation within strain-gradient framework by Rosi, G., Auffray, N.

“…In this paper anisotropic and dispersive wave propagation within linear strain-gradient elasticity is investigated. This analysis reveals significant features…”
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A Minimal Integrity Basis for the Elasticity Tensor by Olive, M., Kolev, B., Auffray, N.

“…We definitively solve the old problem of finding a minimal integrity basis of polynomial invariants of the fourth-order elasticity tensor C . Decomposing C…”
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Willis elastodynamic homogenization theory revisited for periodic media by Nassar, H., He, Q.-C., Auffray, N.

“…The theory of elastodynamic homogenization initiated by J.R. Willis is revisited for periodically inhomogeneous media through a careful scrutiny of the main…”
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Complete symmetry classification and compact matrix representations for 3D strain gradient elasticity by Auffray, N., He, Q.C., Le Quang, H.

“…Strain Gradient Elasticity (SGE) is now often used in mechanics and physics, owing to its capability to model some non-classical phenomena, such as size…”
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Computation of minimal covariants bases for 2D coupled constitutive laws by Desmorat, B., Olive, M., Auffray, N., Desmorat, R., Kolev, B.

“…We produce minimal integrity bases for both isotropic and hemitropic invariant algebras (and more generally covariant algebras) of most common bidimensional…”
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Matrix representations for 3D strain-gradient elasticity by Auffray, N., Le Quang, H., He, Q.C.

“…The theory of first strain gradient elasticity (SGE) is widely used to model size and non-local effects observed in materials and structures. For a material…”
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