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Therefore, a static double inclusion model is developed to analytically compute the elastic energy in a final configuration of sequential double twinning.
The phase volume fractions and elastic properties are used in multi-step mean field homogenization (Mori–Tanaka and double inclusion) models to determine the homogenized macroscale elastic modulus of the composite.
We implemented two homogenization schemes: Mori–Tanaka and a double inclusion model, and two plasticity models: classical J2 plasticity and Chaboche's model with non-linear kinematic and isotropic hardenings.
The mean GO solution for one such pattern is further proved to be valid as well for the domains – of the double inclusion type – obtained in connecting the pattern elements by their outer envelop of zero thickness, thanks to the GO blindness to connectivity differences.
In this paper, the two-step mean-field homogenization procedures including the Mori–Tanaka (M T) and interpolative double inclusion (D-I) models in the first-step homogenization procedure and the Voigt and Reuss models in the second-step homogenization procedure, are introduced and implemented to predict the effective elastic properties of short-fiber-reinforced metal matrix composites.
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Similar(51)
We additionally demonstrate that the relative magnitudes between elastic properties and thermal stresses will lead to nonlinear effects on frequency band structures based on two different types of metamaterial plates made of single and double inclusions of square plates, respectively.
Firstly, the particle-reinforced matrix is homogenized by means of a double-inclusion approach.
Based on mean-field homogenization theory, an improved double-inclusion model for FRPs considering graded interphase and imperfect interface is established.
The accuracy of this new scheme is checked against the double-inclusion and other micromechanics models, and good agreement is observed.
The interphase was perfectly incorporated into the present micromechanics model as a third phase with the help of double-inclusion model.
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