Internal instability of anisotropic viscous and viscoelastic media under initial stress

✍ Scribed by M.A. Biot

• Publisher: Elsevier Science
• Year: 1965
• Tongue: English
• Weight: 765 KB
• Volume: 279
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(65)90207-3

✦ Synopsis

The internal instability of anisotropic viscoelastic media under initial stress is investigated in analogy with the phenomenon of internal buckling in elasticity by applying the author's principle of viscoelastic correspondence. The spreading of a disturbance in a medium of infinite extent is analyzed. A numerical solution is derived which describes the time history of an initial perturbation in a purely viscous anisotropic medium in compression and confined between parallel boundaries. It is shown that the system acts as a high-pass filter on perturbations of various wavelengths. In the range of significant instability the solution obtained by viscoelastic correspondence from the theory of elasticity is found to be applicable as an approximation to a viscous anisotropic fluid initially in a state of flow. An exact and independent treatment of the latter case is derived for comparison.