Well-posedness of the fractional Zener wave equation for heterogenous viscoelastic materials

Zener’s model for viscoelastic solids replaces Hooke’s law σ = 2με(u) + λ tr(ε(u)) I, relating the stress tensor σ to the strain tensor ε(u), where u is the displacement vector, μ > 0 is the shear modulus, and λ ≥ 0 is the first Lamé coefficient, with the constitutive law (1 + τ Dt) σ = (1 + ρ Dt...

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Bibliographic Details
Main Authors: Oparnica, L, Suli, E
Format: Journal article
Language:English
Published: De Gruyter 2020