On the stability of certain motions of incompressible materials with memory

DOI10.1007/BF00253874zbMath0167.54203MaRDI QIDQ2530514

Bernard D. Coleman, Ellis Harold Dill

Publication date: 1968

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

zbMATH Keywords

mechanics of solids

Related Items (20)

Radial motions of viscoelastic shells ⋮ Thermodynamics and the energy criterion for stability ⋮ A thermodynamic viscous interface theory and associated stability problems ⋮ Lyapunov functional method in the stability problem of Volterra integro-differential equations with infinite delay ⋮ The scientific work of Bernard D. Coleman ⋮ The second law of thermodynamics for systems with approximate cycles ⋮ Minimum problems in the dynamics of viscous fluids with memory ⋮ Some remarks on the effects of inertia and viscous dissipation in the onset of cavitation in rubber ⋮ The energy criterion for stability in continuum thermodynamics ⋮ On fading memory spaces and hereditary integral equations ⋮ A mathematical foundation for thermodynamics ⋮ Thermodynamics and stability ⋮ Asymptotic stability in linear thermoviscoelasticity ⋮ Equations with unbounded delay: a survey ⋮ Some properties for viscous fluids with memory ⋮ On the thermodynamics of materials with memory ⋮ On the stability of equilibrium states of general fluids ⋮ Exponential stability for a class of functional differential equations ⋮ On the Stability and Stabilization Problems of Volterra Integro-Differential Equations ⋮ Necking and drawing in polymeric fibers under tension

Cites Work

• Unnamed Item
• A mathematical theory of the mechanical behavior of continuous media
• An approximation theorem for functionals, with applications in continuum mechanics
• The thermodynamics of elastic materials with heat conduction and viscosity
• Finite dynamic deformations of an incompressible elastic medium containing a spherical cavity
• Sufficient conditions for stability and instability of autonomous functional-differential equations
• Solutio généralis et accurata problematum quamplurimorum de motu corporum elasticorum incomprimibilium in déformationibus valde magnis
• Norms and semi-groups in the theory of fading memory
• Thermodynamics and the stability of fluid motion
• On thermodynamic conditions for the stability of evolving systems
• On the general theory of fading memory
• On the stability of solutions of functional-differential equations
• Large amplitude oscillations of a tube of incompressible elastic material
• Foundations of Linear Viscoelasticity
• On a Class of Oscillations in the Finite-Deformation Theory of Elasticity
• Homogeneous Motions of Incompressible Materials
• A STABILITY THEOREM FOR FUNCTIONAL-DIFFERENTIAL EQUATIONS

This page was built for publication: On the stability of certain motions of incompressible materials with memory