Bouyge, Frederic; Jasiuk, Iwona; Ostoja-Starzewski, Martin A micromechanically based couple-stress model of an elastic two-phase composite. (English) Zbl 1003.74006 Int. J. Solids Struct. 38, No. 10-13, 1721-1735 (2001). Summary: We determine couple-stress moduli and characteristic lengths of heterogeneous materials. The study is set in the context of a planar (two-dimensional) two-phase composite with linear non-couple-stress (classical) elastic constituents, and with a single microstructural length scale (inclusion spacing) in an equilateral triangular array, We use an approach which allows a replacement of this composite by an approximating couple-stress continuum. We determine effective material parameters from the response of a unit cell under either displacement, displacement-periodic, or traction boundary conditions. We carry out computations of all the moduli by varying the stiffness ratio of both phases, so as to cover a range of very different materials from porous solids through composites with rigid inclusions. It is found that the three boundary conditions result in hierarchies of couple-stress moduli. In addition, we observe that these three boundary conditions also result in a hierarchy of characteristic lengths. Cited in 21 Documents MSC: 74A40 Random materials and composite materials 74Q15 Effective constitutive equations in solid mechanics 74E30 Composite and mixture properties 74M25 Micromechanics of solids Keywords:couple-stress moduli; two-phase composite; microstructural length scale; equilateral triangular array; effective material parameters; hierarchy of characteristic lengths PDFBibTeX XMLCite \textit{F. Bouyge} et al., Int. J. Solids Struct. 38, No. 10--13, 1721--1735 (2001; Zbl 1003.74006) Full Text: DOI