Sentence examples for modulus section from inspiring English sources

We then introduce modifications to the mechanical system to improve the nonlinear convergence behavior of the weakly penalized scheme for high values of the bulk modulus (Section 2.5.3).

An important finding is that decreasing the relative size of low-modulus sections significantly increases the crack driving force in adjacent layers.

The implications of these results are discussed in the contexts of critical feature spacing and the impact of incorporating low elastic-modulus sections (such as polymer dielectrics) on thermo-mechanical reliability.

begin{aligned} sigma _s = mathrm{Max} frac{M_z (s)}{Z (s)} end{aligned} (24) begin{aligned} tau _s = mathrm{Max} frac{T_m}{Z_p s)}, end{aligned} (25 where Z(s) and (Z_p s)) denote the modulus of section and the polar modulus of section at s, respectively.

Physical properties such as Young's modulus and section inertias were chosen as the input features and modal frequency was the only response feature.

Therefore, the equivalent moment of inertia of area I and the equivalent modulus of section Z [11] is defined by considering the bending of a pipe with slits with respect to that of a pipe without slits.

Proofs of this second case will be omitted as they are based on technical results already proved for both kinds of modulus in Section 3. The Hausdorff metric on the closed and bounded parts of a metric space is defined as follows.

With this approach, the cross-sectional area, section modulus and buckling ratio can be quantified.

24 These significant improvements (P<0.05) included increases in the cross-sectional area, section modulus, and outer diameter.

The mechanism for this anti-fracture efficacy has been clarified; alendronate suppresses bone turnover and subsequently increases hip BMD, decreases cortical porosity, improves parameters of hip structure geometry (cortical thickness, cross-sectional area, section modulus, and buckling ratio), and produces more uniform mineralization (increases the MDMB) in cortical bone.

Greenspan et al (2005) have demonstrated that alendronate improves parameters of hip structure geometry as evaluated by the HAS, such as cortical thickness, cross-sectional area, section modulus, and buckling ratio in the narrow neck, intertrochanteric region, and femoral shaft (Greenspan et al 2005).