Interphase layer theory and application in the mechanics of composite materials

Gradient second‐order interphase‐layer theory of continuous media with micro‐structures

“…The special attention is paid to the analysis of kinematic relations since in the framework of variational description the kinematics fully define the system of internal volumetric and surface interactions. By the model it was found that scale effects could help to understand-predict macro-micro mechanics of the material, if the phase interactions are modeled across the length scales [1][2][3]. We will show here that using the interphase-layer theory allows modeling the Laplas's pressure for capillarity (surface properties) and also gives the strong theoretical justification for famous hypothesis of Barenblatt about cohesion field near top of crack (cohesion interactions).…”

“…Modulus "12" defines the mutual disturbance of a classical displacement field and purely damaged states. Cosserat media (d Ξ ij = −w Ξ k e ijk ) and porous media (d Ξ ij = 1/3Θ Ξ δ ij ) are the particular cases of the general model [1,3].…”

“…General model of continuous media (1,2) allows to analyze various particular scale effects, e.g., cohesive interactions, surface tensions, etc., both in the volume and on a surface within the unified continuum description. For example, Laplas pressure for capillarity is a first modeled theoretically.…”

A continuum model of microheterogeneous media

“…[2][3][4][6][7][8][9]17 Special attention has been focused on the analysis of the kinematic relations, because in a variational description the kinematics of the medium completely determines the system of internal interactions in the bulk and on the surface of the body under consideration. A new classification of dislocations, which enables us to identify three types of dislocations, viz., ␥, and dislocations, has been proposed on the basis of the kinematic analysis conducted.…”

A Generalized Solution of Eshelby and Eshelby Self-Consistent Method for Gradient Models in Mechanics of Composites

“…In the recent works [1] the second-order unified gradient model was proposed to describe the spectrum the superficial phenomena as a scale effects, the applied models of the medium of Toupin's type and applied models and interphase layer model also are derived [2][3][4]. These models can be used for simulation in mechanics of filled composites because they give full enough description of the cohesion field with adhesion interactions in the contact zone of different components.…”