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A method for fast derivation of the effective orthotropic elastic moduli of complex multilayer nano-interconnects was demonstrated and corroborated using finite element modelling (FEM).
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Since the characteristic equations for difference equations are closely related to some complex polynomials, the estimates of the bound for the moduli of various complex polynomial zeros have been investigated by many researchers (cf. e.g., [1 8] and references therein).
Furthermore, for convenience, the corresponding moduli of the complex z factors are presented in Figure 4B.
Polymer adsorption on the particles' surface results in a transient filler polymer network and slow dynamics of the bound polymer, which contribute to the moduli of the complex fluid.
The relaxation modulus calculated from the smoothed experimental storage and loss moduli of the same complex moduli are slightly different, and it is impossible to obtain the accurate relaxation time and modulus to well agree with the test data of storage and loss moduli simultaneously at the full range of reduced angular frequencies.
From experimental curves of complex moduli versus frequency, obtained over a large range of frequencies, closed form expressions of moduli are obtained.
The results show that the construction method of master curves of complex moduli is effective and reliable.
An approximate formulation for the problem in terms of the amplitudes of the main electromechanical field variables is produced by applying the monoharmonic (single-frequency) approach along with the concept of complex moduli to characterize the cyclic properties of the material.
The neat PEO-NH2 behaves like a Newtonian fluid, with constant viscosity across the measured range of complex moduli.
In contrast, the ionic hybrid shows shear thinning, but also has low viscosities across the entire span of complex moduli measured.
The Tgs and elastic moduli of these ternary complexes increase at higher concentrations of Pd2+.
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