Separately global solutions to rate-independent processes in large-strain inelasticity
@article{Davoli2022SeparatelyGS, title={Separately global solutions to rate-independent processes in large-strain inelasticity}, author={Elisa Davoli and Martin Kru{\vz}{\'i}k and Petr Pelech}, journal={Nonlinear Analysis}, year={2022} }
2 Citations
A note about hardening-free viscoelastic models in Maxwellian-type rheologies at large strains
- Materials ScienceMathematics and Mechanics of Solids
- 2021
Maxwellian-type rheological models of inelastic effects of creep type at large strains are revisited in relation to inelastic strain gradient theories. In particular, we observe that a dependence of…
Equilibria of Charged Hyperelastic Solids
- EngineeringSIAM Journal on Mathematical Analysis
- 2022
We investigate equilibria of charged deformable materials via the minimization of an electroelastic energy. This features the coupling of elastic response and electrostatics by means of a capacitary…
References
SHOWING 1-10 OF 62 REFERENCES
Quasistatic Evolution Problems for Linearly Elastic–Perfectly Plastic Materials
- Mathematics
- 2004
The problem of quasistatic evolution in small strain associative elastoplasticity is studied in the framework of the variational theory for rate-independent processes. Existence of solutions is…
Differential, Energetic, and Metric Formulations for Rate-Independent Processes
- Materials Science
- 2011
In these notes we want to give an overview of the recently developed theory for rate-independent systems. Such systems are used to model hysteresis, dry friction, elastoplasticity, magnetism, and…
Damage of nonlinearly elastic materials at small strain - Existence and regularity results -
- Mathematics
- 2010
This paper discusses an existence result for energetic solutions of rate‐independent damage processes and the temporal regularity of the solution. We consider a body consisting of a physically…
Global injectivity in second-gradient nonlinear elasticity and its approximation with penalty terms
- MathematicsMathematics and Mechanics of Solids
- 2019
We present a new penalty term approximating the Ciarlet–Nečas condition (global invertibility of deformations) as a soft constraint for hyperelastic materials. For non-simple materials including a…
On rate-independent hysteresis models
- Mathematics
- 2004
This paper deals with a general approach to the modeling of rate–independent processes which may display hysteretic behavior. Such processes play an important role in many applications like…
RATE-INDEPENDENT DAMAGE PROCESSES IN NONLINEAR ELASTICITY
- Engineering
- 2005
Damage of an elastic body undergoing large deformations by a "hard-device" loading possibly combined with an impact (modeled by a unilateral frictionless contact) of another, ideally rigid body is…
On the Passage from Nonlinear to Linearized Viscoelasticity
- MathematicsSIAM J. Math. Anal.
- 2018
We formulate a quasistatic nonlinear model for nonsimple viscoelastic materials at a finite-strain setting in the Kelvin's-Voigt's rheology where the viscosity stress tensor complies with the…
Two-well rigidity and multidimensional sharp-interface limits for solid–solid phase transitions
- MathematicsCalculus of Variations and Partial Differential Equations
- 2020
We establish a quantitative rigidity estimate for two-well frame-indifferent nonlinear energies, in the case in which the two wells have exactly one rank-one connection. Building upon this novel…
Existence results for a class of rate-independent material models with nonconvex elastic energies
- Mathematics
- 2006
Abstract 1. Introduction In mechanics, rate-independent evolutionary problems have always played an important role, e.g., in Coulomb friction or in perfect plasticity. The intrinsic nonsmoothness…
Two-well linearization for solid-solid phase transitions
- Mathematics
- 2020
In this paper we consider nonlinearly elastic, frame-indifferent, and singularly perturbed two-well models for materials undergoing solid-solid phase transitions in any space dimensions, and we…