On the Effective Young's Modulus of Elasticity for Porous Materials: Microstructure Modelling and Comparison Between Calculated and Experimental Values

Pull-in instability of multi-phase nanocrystalline silicon beams under distributed electrostatic force

“…Both porosity and interface affect the elastic modulus of the NcM through a softening mechanism. These observations are consistent with the experimental measurements which showed a reduction in the elastic modulli of some NcMs, compared with their coarse-grain-based counterparts (Boccaccini, Ondracek, Mazilu, & Windelberg, 1993;Fougere, Riester, Ferber, Weertman, & Siegel, 1995;Sanders, Eastman, & Weertman, 1997;Shen, Koch, Tsui, & Pharr, 1995;Spriggs, 1961;Wang, Wang, Aust, & Erb, 1995;Xing, Bertrand, Dallas, & Cornet, 1998). This has been attributed to the porosity (Fougere et al, 1995;Gleiter, 2000;Sanders et al, 1997;Shen et al, 1995;Xing et al, 1998) or to the increased interatomic spacings in the incoherent interface (Chen, 1995;Weller, Diehl, & Schaefer, 1991).…”

Effect of porosity of cordierite preforms on microstructure and mechanical strength of co-continuous ceramic composites

“…The best results are obtained with sample P1, that present a Young's modulus of 157.6 MPa and a flexural strength of 244 MPa, better values than those obtained in previous works on composites from cordierite performs, [33][34][35] and not so far from the values for silica-derived cordierites. The trend of Young's modulus and flexural strength is close to the linearity with respect to porosity, as predicted by the literature models 38 ; also in the case of samples E, derived from cordierites obtained by extrusion, the shape factor of the pores after infiltration is rather close to unity, so that no significant pore shape effect is observed on Young's modulus and strength.…”

Modeling of mechanical resonators used for nanocrystalline materials characterization and disease diagnosis of HIVs

“…Due to the ease of fabrication, most of micro/nano mechanical resonators are made of nanocrystalline silicon or nanocrystalline diamond (Tao et al 2014). Due to their distinct atomic structure (Gleiter et al 2000;Wang et al 2003;Kim and Bush 1999;Zhou et al 2007;Duan et al 2005;Fitzsimmons et al 1995;Swygenhoven et al 1999;Sanders et al 1997), grain boundaries have lower Young's moduli than the interior of the grains in polycrystalline materials (Sanders et al 1997;Fougere et al 1995;Xing et al 1998;Shen et al 1995;Wang et al 1995;Spriggs 1961;Boccaccini et al 1993). The grain boundary volume fraction could be as high as 50 % for a NcM whose grain average size is 5 nm (Sharma and Ganti 2003).…”