An evaluation of different models for prediction of elastic properties of woven composites

Optimal design of a long and slender compressive strut

“…Hence we get that (17) By rearranging and taking the square root, we find that (18) This means that in order to find the minimal mass of the strut under the Euler buckling constraint, we need to maximize the material index (19) Materials with high values of M 3 are plotted in a ρ -E diagram using Cambridge Engineering Selector in Figure 4 below. Note that the slope of the selection line is different compared to Figure 3, due to the changed exponent on E in M 3 .…”

“…In other words, we get the effective stiffness coefficients C * ijmn as the average stresses σ ij from the solutions of the cell problems with the boundary conditions described above. See for instance the articles [16], [17], [18] and [19], for more applications of the homogenization method to composite materials.…”

Estimating the Vigdergauz constants for regular hexagonal honeycombs

“…For details concerning general methods for computing effective elastic moduli based on the homogenization method, see e.g. [1], [2], [3], [4], [10] and [11]. We also want to refer to [9] concerning simplification in cases of structural symmetries.…”

Micromechanical modeling of 8-harness satin weave glass fiber-reinforced composites

“…For example, Naik & Shembekar [11], Naik & Ganesh [12], Vandeurzen, Ivens, & Verpoest [13], [14], Dimitrienko [15], Bystrom, Jekabsons, & Varna [16], Adumitroaie & Barbero [17]- [18] and Turner [19]. These models represented the woven geometry using two layers of yarns with homogenized properties for each layer considering the effects of yarn undulation.…”