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Hardness, one key property of hard coatings, is proportional to shear modulus, which can be predicted using density functional theory (DFT).

Analytical and numerical models are used to determine the composite young modulus which can be expected vs the type and rate of additives.

Dynamic mechanical and static bending measurements concurrently show a slight increase in the glassy state modulus, which can be viewed as an 'antiplasticizing' effect of PUEs in PC.

From Table 1, the large G of previous 20 iterations means that there exist some areas with very large gradient modulus, which can be inferred by the decline rate θ.

In this model, μi and αi are associated with the shear modulus which can be calculated using the equation, ( upmu =frac{1}{2}{displandtyle sum_{i=1}^3{upmu}_i{alpha}_i} ), anDiDi represents the compressibility.

In the method, two new asymptotic expansions for small and large Thiele moduli are developed and joined together at an intermediate value of the Thiele modulus, which can be calculated by a simple equation.

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At a microscopic level, the degree of conversion in monomer-polymer system results in increased NHD and elastic modulus E, which can be accepted (under applied measuring conditions) as principal determinant of the generalized photopolymerization kinetics.

The changes in hardness correlated with the changes in glass transition but not changes in the rubbery modulus, both of which can scale with a change in crosslink density.

In the current study, a crystalline ZnO nanowire with the C6v symmetry about the poling direction along the z-axis [18] is considered, which has a surface layer with surface elasticity modulus (E5) [20 22], which can be determined by atomistic simulations or experiments [3, 23], surface layer thickness (t) [8], and constant residual surface tension (τ0) [18, 24].

This study proposes a good relation between the resilient modulus under haversine waveform and resilient modulus under square waveform which can be calibrated and used for prediction of Mr under square pulse by knowing Mr under haversine waveform.

By this modified elastic model, the size of the network mesh can be estimated by the elastic modulus of the network which can be easily obtained by rheology.

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