Effective in plane moduli of composites with a micropolar matrix and coated fibers

On overall properties of micro‐polar composites with interface effects

“…For a two-dimensional micro-polar material, the generalized Mises effective stress can be defined as [5]: σ applied macroscopic stress exceeds the initial yield stress. In order to consider the weakened constraint power of the plastic matrix on the fiber, the secant algorithm is proposed to predict overall elasto-plastic behavior for a micro-polar composite with interface effect [3].…”

An iterative FE–BE method and rectangular cell model for effective elastic properties of doubly periodic anisotropic inclusion composites

“…Based on special boundary integral equations for periodic problems, Lin'kov and Koshelev [25] and Lin'kov [26] developed the complex variable BEM to study the doubly periodic arrays of cracks, holes and inclusions in the isotropic elastic medium. In addition to the above methods, the periodic inclusion problems can also be solved by many other methods such as the fast Fourier transform [27,28], elastostatic resonances [29], the Maxwell's scheme [30][31][32], the extended finite element method (XFEM) [33], the classical multipole expansion method [34,35], the mean-field homogenization method [36], the average inclusion method [37], and the extended electromechanical equivalent inclusion method [38]. For additional details on these methods, the reader is advised to refer to the mentioned references.…”

Modeling of multi-inclusion composites with interfacial imperfections: Micromechanical and numerical simulations

“…Many investigators have studied the influences of interphase thickness and material properties on the effective elastic constants of fiber-reinforced composites using analytical, experimental or computational approaches, see refs. [2][3][4][5][6][7][8][9] for examples. The other model was first studied by Lane and Leguillon [10], then discussed by several researchers [11][12][13][14][15].…”