On uniqueness and bifurcation in nonlinear viscoelasticity

DOI10.1007/BF00248521zbMath0419.73044OpenAlexW2055381984MaRDI QIDQ1132674

David W. Reynolds, Morton E. Gurtin, Spector, Scott J.

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1007/bf00248521

zbMATH Keywords

uniquenessbifurcationa solution which is Hadamard stable at all times is uniqueinstantaneous elasticityquasi-static nonlinear viscoelasticitystandard boundary-value problem

Mathematics Subject Classification ID

Nonlinear constitutive equations for materials with memory (74D10) Dynamical problems in solid mechanics (74H99) Theory of constitutive functions in solid mechanics (74A20) Equilibrium (steady-state) problems in solid mechanics (74G99)

Related Items (1)

On the linearised theory of buckling for a compressed viscoelastic rod

Cites Work

• On uniqueness in finite elasticity with general loading
• On stability and uniqueness in finite elasticity
• Uniqueness theorems in the linear dynamic theory of anisotropic viscoelastic solids
• Waves in materials with memory. I: The velocity of one-dimensional shock and acceleration waves
• Norms and semi-groups in the theory of fading memory
• Uniqueness theorems and the speed of propagation of signals in viscoelastic materials
• A fading memory hypothesis which suffices for chain rules
• Waves in materials with memory. IV: Thermodynamics and the velocity of general acceleration waves
• Dirichlet's problem for linear elliptic partial differential equations

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