The shear relaxation modulus, G 12 (t), for an orthotropic lamina is idealized, as shown in Figure 8.30. Find the corresponding equations for the shear storage modulus, G 12 ′ (ω) and the shear loss...

The shear relaxation modulus, G₁₂(t), for an orthotropic lamina is idealized, as shown in Figure 8.30. Find the corresponding equations for the shear storage modulus, G₁₂′ (ω) and the shear loss modulus, G₁₂′′ (ω) , and draw sketches of both parts of the complex modulus in the frequency domain.

For the Maxwell model in Figure 8.8, express the storage modulus, E′(ω), the loss modulus, E″(ω), and the loss factor, η(ω), in terms of the parameters µ and k and the frequency ω. Sketch the variation of E′(ω), E″(ω), and η(ω) in the frequency domain. It is not necessary to use Fourier transforms here.