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Exact(8)
We elaborate a technique for determining its linear elastic moduli (second order elastic constants) and the nonlinear elastic moduli, which are called Landau coefficients (third order elastic constants).
Small-scale effects in nanorods with Young moduli which are functionally graded in the cross-section domain are investigated by nonlocal continuum mechanics.
The independent justified choice of shapes of inclusions and correlation holes provide the formulae of effective moduli which are symmetric, completely explicit and easily to use.
These moduli, which are known to be difficult to determine by any other means, are of importance for the behavior of paper during tissue manufacturing and in the converting and embossing of paperboard.
The successful prediction of the vibration transmissibility characteristics of viscoelastic structural elements is strongly dependent upon the use of fairly accurate estimates of the complex moduli, which are frequency and temperature dependent functions.
As result we obtain the exact closed forms for the linear and nonlinear effective elastic moduli, which are valid for any volume fraction of the core embedded in the external shell.
Similar(52)
Damage is represented by the reduced elastic moduli which is the function of the void volume fraction.
The limiting value was found to increase with decrease in initial values of small strain shear moduli which were evaluated by dynamic measurement.
Overall, polymers with smaller repeat units exhibited slightly higher glass transition temperatures and elastic moduli, which were attributed to higher cohesive energy densities.
For example, the bending strength of Ti 5Si was about 2.6 times that of c.p. Ti, and both Ti 10Si and Ti 12.5Si had the highest bending moduli, which were about 1.8 times higher than that of c.p. Ti.
Finally, moderately high dilational moduli values which are frequency independent and primarily elastic in nature were measured.
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