Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models
From MaRDI portal
Publication:6597679
DOI10.1007/s00707-024-03959-2zbMath1544.3517MaRDI QIDQ6597679
Publication date: 3 September 2024
Published in: Acta Mechanica (Search for Journal in Brave)
Nonlinear elasticity (74B20) Nonsimple materials (74A30) Linear waves in solid mechanics (74J05) PDEs in connection with mechanics of deformable solids (35Q74) Waves in compressible fluids (76N30)
Cites Work
- Global solutions to repulsive Hookean elastodynamics
- Waves in microstructured solids: a unified viewpoint of modeling
- One-dimensional dynamically consistent gradient elasticity models derived from a discrete microstructure. I: Generic formulation
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Thermoviscoelasticity in Kelvin-Voigt rheology at large strains
- Tractions, balances, and boundary conditions for nonsimple materials with application to liquid flow at small-length scales
- Quasilinear equations for viscoelasticity of strain-rate type
- Elastic materials with couple-stresses
- Global solution to the compressible isothermal multipolar fluid
- On the role of gradients in the localization of deformation and fracture
- Global solution to the incompressible viscous-multipolar material problem
- Physically unacceptable viscous stresses
- Global solutions for some Oldroyd models of non-Newtonian flows
- Weak solutions for a class of nonlinear systems of viscoelasticity
- Existence of large-data finite-energy global weak solutions to a compressible Oldroyd-B model
- On the effect of dissipation in shape-memory alloys
- Formation of singularity for compressible viscoelasticity
- Leray-Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress-strain relation
- Visco-elastodynamics at large strains Eulerian
- Quasistatic hypoplasticity at large strains Eulerian
- Strong well-posedness, stability and optimal control theory for a mathematical model for magneto-viscoelastic fluids
- On the wave dispersion in microstructured solids
- Loss of regularity for the continuity equation with non-Lipschitz velocity field
- Dispersion feature of elastic waves in a 1-D phononic crystal with consideration of couple stress effects
- Reflections on mathematical models of deformation waves in elastic microstructured solids
- Global existence and uniqueness result for the diffusive Peterlin viscoelastic model
- Stress-diffusive regularizations of non-dissipative rate-type materials
- Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
- A general theory of an elastic-plastic continuum
- Internal variables in thermoelasticity
- Micro-structure in linear elasticity
- Some Open Problems in Elasticity
- Finite thermoelastoplasticity and creep under small elastic strains
- Convergence of a Finite Element-Based Space-Time Discretization in Elastodynamics
- Young Measure Solutions for Nonconvex Elastodynamics
- Existence of Weak Solutions to an Evolutionary Model for Magnetoelasticity
- On the role of micro-inertia in enriched continuum mechanics
- Global existence for three‐dimensional incompressible isotropic elastodynamics via the incompressible limit
- Thermodynamics of Elastoplastic Porous Rocks at Large Strains Towards Earthquake Modeling
- Review and Critique of the Stress Gradient Elasticity Theories of Eringen and Aifantis
- PDE analysis of a class of thermodynamically compatible viscoelastic rate-type fluids with stress-diffusion
- Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
- Microcontinuum Field Theories
- Global Existence Result for the Generalized Peterlin Viscoelastic Model
- On the global existence for a regularized model of viscoelastic non-Newtonian fluid
- On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response
- The relationship between viscoelasticity and elasticity
- Mathematical Methods in Continuum Mechanics of Solids
- Elastic-Plastic Deformation at Finite Strains
- On hydrodynamics of viscoelastic fluids
- A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains
- A variational approximation scheme for three-dimensional elastodynamics with polyconvex energy
- On the existence of globally defined weak solutions to the Navier-Stokes equations
- Viscoelastic Cahn–Hilliard models for tumor growth
- A Cahn-Hilliard model coupled to viscoelasticity with large deformations
- The Stefan problem in a thermomechanical context with fracture and fluid flow
- Coupling the Navier-Stokes-Fourier equations with the Johnson-Segalman stress-diffusive viscoelastic model: Global-in-time and large-data analysis
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
Related Items (1)
This page was built for publication: Some gradient theories in linear visco-elastodynamics towards dispersion and attenuation of waves in relation to large-strain models