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It is shown that these optimal designs, although anisotropic, expand isotropically under isotropic stresses and reach the Hashin Shtrikman upper bounds for the bulk modulus of isotropic materials in the low density range.
This method applies to testing shear modulus of isotropic materials and three main-direction shear modulus (GLT, GLR and GRT) of timbers.
The paper presents a procedure whereby Poisson's ratio and the dynamic Young's modulus of isotropic and homogeneous materials are determined using two of the first four frequencies of natural vibration in thin rectangular plates.
In this study, finite element, Mori Tanaka and strong contrast modeling are carried out for the prediction of the effective thermal conductivity and elastic modulus of isotropic random two-phase composite materials with low fillers content.
The Young's modulus of isotropic solids such as nanocomposites containing dispersed nanoparticles [20] can be determined by E=frac{9KG}{3K+G} (9).
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This paper specifically addresses the definition of the effective, instantaneous shear modulus of the isotropic comparison materials which intervene in the solution of the linearized, homogenisation problem.
The application of the proposed procedure to the homogenization problems leads to the new closed-form expression for the effective transverse shear modulus of transversely isotropic unidirectional composites.
An approximate analysis is presented of the Young's modulus of two-dimensional (isotropic) cellular materials with a distribution of cell dimensions and cell wall thicknesses.
Hardness of materials is usually measured in terms of isotropic shear modulus (G H), and Young's modulus (E) or bulk modulus (B T).
Open image in new window Fig. 6 Variation of Isotropic shear modulus (G H, G V, and G R) with pressure and temperature.
Open image in new window Fig. 6 Variation of Cauchy discrepancy (Δ i 3 ) and elastic anisotropy (γ i 3 ) in third-order elastic constant with pressure Open image in new window Fig. 7 Variation of isotropic shear modulus (G H, G V, and G R) with pressure and temperature.
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