Free surface problems induced by motions perturbing the natural state of simple solids

DOI10.1007/BF00279878zbMath0483.73001MaRDI QIDQ1163395

P. M. Dixit, Amitabh Narain, Daniel D. Joseph

Publication date: 1981

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

zbMATH Keywords

uniquenessequations of motionincompressible viscoelastic solidsperturbations of natural state of equilibriumrod climbingtorsion of cylinder

Mathematics Subject Classification ID

Stability of dynamical problems in solid mechanics (74H55) Theory of constitutive functions in solid mechanics (74A20) Generalities, axiomatics, foundations of continuum mechanics of solids (74A99) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99) Computer aspects of numerical algorithms (65Y99)

Related Items (5)

Systematic linearization for stability of shear flows of viscoelastic fluids ⋮ Convergence of biorthogonal series of biharmonic eigenfunctions by the method of Titchmarsh ⋮ Small amplitude vibration of viscoelastic plates ⋮ Classification of linear viscoelastic solids based on a failure criterion ⋮ Fading memory

Cites Work

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• Small deformations superimposed on large deformations in materials with fading memory
• Avere una memoria tenace crea gravi problemi
• Strain-energy density function for rubber-like materials
• Perturbation of states of rest and rigid motion of simple fluids and solids
• A hereditary partial differential equation with applications in the theory of simple fluids
• Instability of steady shearing flows in a non-linear viscoelastic fluid
• On the impossibility of linear Cauchy and Piola-Kirchhoff constitutive theories for stress in solids
• On the Navier-Stokes initial value problem. I
• Second-order incompressible elastic torsion
• Asymptotic stability in viscoelasticity
• The free surface on a liquid between cylinders rotating at different speeds. I
• Foundations of Linear Viscoelasticity
• Free surface problems in rheological fluid mechanics
• Stokes Flow in a Trench Between Concentric Cylinders
• Small Finite Deformations of Viscoelastic Solids
• Large elastic deformations of isotropic materials IV. further developments of the general theory
• Finite extension and torsion of cylinders
• The mechanics of non-linear materials with memory

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