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. 2021 May 17;21(10):3490. doi: 10.3390/s21103490
G˜=G+iG σ^shear =G˜γ^shear  shear modulus
σshear: stress
γshear: strain
η˜=ηiη G˜=iωη˜ viscosity
J˜=J1˙J J˜=1/G˜ shear compliance
c˜=c+ic c˜=(G˜/ρ)1/2=(iωn˜/ρ)1/2 speed of shear sound
k˜=kik k˜=ω/c˜ wave number, wave travels towards +z
Z˜=Z+iZ Z˜=ρc˜=(ρG˜)1/2=(iωρη˜)1/2 wave impedance
ω˜res=ω0+iγ=2π(fres+iΓ)=2π(fres+ifresD/2) resonance frequency