Eshelby’s inclusion model

The Mori-Tanaka model is derived based on the principles of Eshelby s inclusion model for predicting an elastic stress field in and around elUpsoidal filler in an infinite matrix. The complete analytical solufions for longitudinal SI and transverse elastic moduh of an isotropic matrix filled with aligned spherical inclusion are [45,... 

Micromechanical models have been widely used to estimate the mechanical and transport properties of composite materials. For nanocomposites, such analytical models are still preferred due to their predictive power, low computational cost, and reasonable accuracy for some simplified stmctures. Recenfly, these analytical models have been extended to estimate the mechanical and physical properties of nanocomposites. Among them, the rule of mixtures is the simplest and most intuitive approach to estimate approximately the properties of composite materials. The Halpin-Tsai model is a well-known analytical model for predicting the stiffness of unidirectional composites as a function of filler aspect ratio. The Mori-Tanaka model is based on the principles of the Eshelby s inclusion model for predicting the elastic stress field in and around the eflipsoidal filler in an infinite matrix. 

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See also in sourсe #XX -- [ ]

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