Radially symmetric motions of nonlinearly viscoelastic bodies under live loads
From MaRDI portal
Publication:1683789
DOI10.1007/s00205-017-1153-9zbMath1386.35398OpenAlexW2745029616MaRDI QIDQ1683789
Stuart S. Antman, Alexey B. Stepanov
Publication date: 1 December 2017
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00205-017-1153-9
Nonlinear elasticity (74B20) Shells (74K25) Nonlinear constitutive equations for materials with memory (74D10) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items
Rotationally symmetric motions and their blowup for incompressible nonlinearly elastic and viscoelastic annuli ⋮ Spatial estimates for Kelvin–Voigt finite elasticity with nonlinear viscosity: Well behaved solutions in space
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global attractors for quasilinear parabolic-hyperbolic equations governing longitudinal motions of nonlinearly viscoelastic rods
- Radially symmetric steady states of nonlinearly elastic plates and shells
- Forced radial motions of nonlinearly viscoelastic shells
- Quasilinear equations for viscoelasticity of strain-rate type
- Hyperelasticity with softening for modeling materials failure
- Functional analysis, Sobolev spaces and partial differential equations
- The dynamical behaviour of nonlinear elastic spherical shells
- Radial motions of viscoelastic shells
- Uniqueness of regular and singular equilibria for spherically symmetric problems of nonlinear elasticity
- Fine phase mixtures as minimizers of energy
- The remarkable nature of radially symmetric equilibrium states of aeolotropic nonlinearly elastic bodies
- Phase transitions in one-dimensional nonlinear viscoelasticity: Admissibility and stability
- Nonuniqueness for a hyperbolic system: cavitation in nonlinear elastodynamics
- Asymptotic behaviour and changes of phase in one-dimensional nonlinear viscoelasticity
- Non-existence, instability, and growth theorems for solutions of a class of abstract nonlinear equations with applications to nonlinear elasto- dynamics
- Computational inelasticity
- Weak solutions for a class of nonlinear systems of viscoelasticity
- The parabolic-hyperbolic system governing the spatial motion of nonlinearly viscoelastic rods
- Quasilinear hyperbolic-parabolic equations of one-dimensional viscoelasticity
- On the construction and properties of weak solutions describing dynamic cavitation
- On the existence, uniqueness, and stability of solutions of the equation \(p_0 {\mathfrak X}_{tt} = E({\mathfrak X}_ x) {\mathfrak X}_{xx} +\lambda {\mathfrak X}_{xxt}\)
- The mixed initial-boundary value problem for the equations of nonlinear one-dimensional viscoelasticity
- On the exponential stability of solutions of \(E(u_ x)u_{xx} + \lambda u_{xtx} = \rho u_{tt}\)
- The asymptotics of heavily burdened viscoelastic rods
- Finite time blow-up and stability properties of materials with fading memory
- Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
- Dynamical modelling of phase transitions by means of viscoelasticity in many dimensions
- REMARKS ON BLOW-UP AND NONEXISTENCE THEOREMS FOR NONLINEAR EVOLUTION EQUATIONS
- Dynamic cavitation with shocks in nonlinear elasticity
- Pseudoparabolic Partial Differential Equations
- Nonlinear problems of elasticity
- On the existence of solutions to the equation \(u_{tt}=u_{xxt}+\sigma (u_x)_x\)
This page was built for publication: Radially symmetric motions of nonlinearly viscoelastic bodies under live loads