Theory of Viscous Buckling of Multilayered Fluids Undergoing Finite Strain
Author(s) -
M. A. Biot
Publication year - 1964
Publication title -
the physics of fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.125
0eISSN - 2163-4998
pISSN - 0031-9171
DOI - 10.1063/1.1711296
Subject(s) - viscoelasticity , buckling , inertia , mechanics , elasticity (physics) , viscosity , viscous liquid , finite strain theory , deformation (meteorology) , classical mechanics , strain rate , materials science , physics , finite element method , thermodynamics , composite material
International audienceThe equations of fluid mechanics are applied to the problem of small perturbations upon a finite initial strain‐rate of a viscous fluid. The magnitude of the viscosity is such that inertia forces are negligible. General solutions are developed for the time history of buckling of a fluid with an arbitrary number of layers of different viscosities under finite compressive deformation. The effect of gravity is taken into account. Numerical solutions are derived for the single layer. Results are compared with values obtained from the theory of elasticity and viscoelasticity. The interest of the theory lies in its application to problems of folding of geological structures
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