Localization study of a regularized variational damage model

@article{Jirasek2015LocalizationSO,
  title={Localization study of a regularized variational damage model},
  author={Milan Jir'asek and Jan Zeman},
  journal={International Journal of Solids and Structures},
  year={2015},
  volume={69},
  pages={131-151}
}
View PDF on arXiv
15 Citations
Background Citations
2
Methods Citations
1
Results Citations
2

15 Citations

Citation Type

Citation Type

Localization analysis of an energy-based fourth-order gradient plasticity model
Localization Analysis of an Energy-Based Fourth-Order Gradient Plasticity Model
The purpose of this paper is to provide analytical and numerical solutions of the formation and evolution of the localized plastic zone in a uniaxially loaded bar with variable cross-sectional area.…
Variational modelling of diffused and localized damage with applications to fiber-reinforced concretes
A variational model for the evolution of damage in elastic materials is proposed, which is based on incremental energy minimization. Analytical solutions are determined in the one-dimensional case of…
Localized versus diffuse damage: A variational approach
A variational model based on incremental energy minimization is proposed to describe the evolution of damage in elastic materials. The model accounts for an elastic energy, depending on the damage…
Nonlocal models with damage-dependent interactions motivated by internal time
eXtended variational quasicontinuum methodology for lattice networks with damage and crack propagation
An adaptive variational Quasicontinuum methodology for lattice networks with localized damage
TLDR
This contribution deals with the crack initiation and propagation in such materials and focuses on an adaptive multiscale approach that captures the spatially evolving fracture.
Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities
A rate-independent gradient system in damage coupled with plasticity via structured strains
This contribution deals with a class of models combining isotropic damage with plasticity. We are inspired by It has been inspired by a work by Freddi and Royer-Carfagni, including the case where the…
Geophysical models of heat and fluid flow in damageable poro-elastic continua
A rather general model for fluid and heat transport in poro-elastic continua undergoing possibly also plastic-like deformation and damage is developed with the goal to cover various specific models…
...
1
2
...

References

SHOWING 1-10 OF 35 REFERENCES
Nonlocal models for damage and fracture: Comparison of approaches
Localization analysis of variationally based gradient plasticity model
Nonlocal integral formulations of plasticity and damage : Survey of progress
Modeling of the evolution of distributed damage such as microcracking, void formation, and softening frictional slip necessitates strain-softening constitutive models. The nonlocal continuum concept…
Comparison of integral-type nonlocal plasticity models for strain-softening materials
Localization Analysis of an Energy-Based Fourth-Order Gradient Plasticity Model
The purpose of this paper is to provide analytical and numerical solutions of the formation and evolution of the localized plastic zone in a uniaxially loaded bar with variable cross-sectional area.…
Localization properties of strain-softening gradient plasticity models. Part I: Strain-gradient theories
The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models
A complete-damage problem at small strains
Abstract.Damage of a linearly-responding material that can completely disintegrate is addressed at small strains. Using time-varying Dirichlet boundary conditions we set up a rateindependent…
Localization properties of strain-softening gradient plasticity models. Part II: Theories with gradients of internal variables
Damage of nonlinearly elastic materials at small strain - Existence and regularity results -
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…
...
1
2
3
4
...