Viscoelasticity with limiting strain
From MaRDI portal
Publication:1995402
DOI10.3934/dcdss.2020330zbMath1454.74026OpenAlexW3017308279MaRDI QIDQ1995402
Publication date: 23 February 2021
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020330
Kinematics of deformation (74A05) Stress (74A10) Theory of constitutive functions in solid mechanics (74A20) PDEs in connection with mechanics of deformable solids (35Q74) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)
Related Items
Pure bending of an elastic prismatic beam made of a material with density-dependent material parameters ⋮ Existence and Uniqueness of Global Weak Solutions to Strain-Limiting Viscoelasticity with Dirichlet Boundary Data ⋮ Elastic solid dynamics in a coupled oscillatory Couette flow system ⋮ A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity ⋮ Investigation of implicit constitutive relations in which both the stress and strain appear linearly, adjacent to non-penetrating cracks ⋮ On an elastic strain-limiting special Cosserat rod model ⋮ Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body ⋮ Dynamics of a viscoelastic membrane with gradient constraint ⋮ Global existence of solutions for the one-dimensional response of viscoelastic solids within the context of strain-limiting theory ⋮ A finite-element discretization of some boundary value problems for nonlinear strain-limiting elastic bodies
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A finite element analysis of some boundary value problems for a new type of constitutive relation for elastic bodies
- A new class of quasi-linear models for describing the nonlinear viscoelastic response of materials
- On elastic solids with limiting small strain: modelling and analysis
- On a new class of models in elasticity
- From discrete visco-elasticity to continuum rate-independent plasticity: rigorous results
- On implicit constitutive theories.
- On locking materials
- A variational formulation of rate-independent phase transformations using an extremum principle
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single plane-strain crack
- Unsteady motions of a new class of elastic solids
- On the development of fluid models of the differential type within a new thermodynamic framework
- A thermodynamic framework for rate-type fluid models
- Unsteady flows of a class of novel generalizations of the Navier-Stokes fluid
- On the nonlinear elastic response of bodies in the small strain range
- A thermodynamically consistent stress-rate type model of one-dimensional strain-limiting viscoelasticity
- Two-dimensional nonlinear stress and displacement waves for a new class of constitutive equations
- Local existence of solutions to the initial-value problem for one-dimensional strain-limiting viscoelasticity
- Circularly polarized wave propagation in a class of bodies defined by a new class of implicit constitutive relations
- Implicit constitutive models with a thermodynamic basis: a study of stress concentration
- The elasticity of elasticity
- A numerical study of a plate with a hole for a new class of elastic bodies
- The state of stress and strain adjacent to notches in a new class of nonlinear elastic bodies
- Modeling fracture in the context of a strain-limiting theory of elasticity: a single anti-plane shear crack
- Non-Linear Elastic Bodies Exhibiting Limiting Small Strain
- Conspectus of concepts of elasticity
- Direct determination of stresses from the stress equations of motion and wave propagation for a new class of elastic bodies
- Analysis and approximation of a strain-limiting nonlinear elastic model
- On thermomechanical restrictions of continua
- A Gibbs-potential-based formulation for obtaining the response functions for a class of viscoelastic materials
- Contacting crack faces within the context of bodies exhibiting limiting strains
- On Ideal Locking Materials
- The Theory of Locking Materials
- Damage of nonlinearly elastic materials at small strain - Existence and regularity results -
- Some topics on a new class of elastic bodies
- Shear Waves in a Class of Nonlinear Viscoelastic Solids
- On the states of stress and strain adjacent to a crack in a strain-limiting viscoelastic body
- A note on the wave equation for a class of constitutive relations for nonlinear elastic bodies that are not Green elastic
- A note on locking materials and gradient polyconvexity
- Crack problem within the context of implicitly constituted quasi-linear viscoelasticity
- A Note on Plane Strain and Plane Stress Problems for a New Class of Elastic Bodies
- Nonlinear elasticity with limiting small strain for cracks subject to non-penetration
- On the nature of constraints for continua undergoing dissipative processes
- On the response of non-dissipative solids
- On Constitutive Equations For Anisotropic Nonlinearly Viscoelastic Solids
- On implicit constitutive theories for fluids
- An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows
- Locking materials and the topology of optimal shapes
