Group analysis and constitutive laws for fluid filled elastic tubes

DOI10.1016/0020-7462(84)90051-9zbMath0546.73045OpenAlexW2071491538MaRDI QIDQ798058

Domenico Fusco

Publication date: 1984

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(84)90051-9

zbMATH Keywords

incompressible fluidintegrationoutflowclasses of constitutive laws for internal areagenerators of the groupsystem of (nonlinear) ordinary differential equationsthin walled elastic tubesviscous retarding force

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Applications of Lie groups to the sciences; explicit representations (22E70) Membranes (74K15) Biomechanical solid mechanics (74L15) Physiological flows (76Z05)

Related Items (6)

Invariant solutions and constitutive laws for a nonlinear elastic rod of variable cross-section ⋮ Symmetry transformations, isovectors, and conservation laws ⋮ A method for determining exact solutions to a class of nonlinear models based on introduction of differential constraints ⋮ Linearization of nonautonomous models describing fluid filled elastic tubes and nonlinear elastic rods with variable cross-section ⋮ Similarity solutions and model constitutive laws to viscoelasticity with application to nonlinear wave propagation ⋮ Reduction of nonhomogeneous quasilinear 2×2 systems to homogeneous and autonomous form

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