Existence of solutions to an elasto-viscoplastic model with kinematic hardening and r-Laplacian fracture approximation
- Resource Type
- Authors
- Lukáš Jakabčin
- Source
- ESAIM: Mathematical Modelling and Numerical Analysis. 50:455-473
- Subject
- Numerical Analysis
Viscoplasticity
Applied Mathematics
010102 general mathematics
Mathematical analysis
Existence theorem
Fracture mechanics
Plasticity
Strain hardening exponent
Physics::Classical Physics
01 natural sciences
Physics::Geophysics
010101 applied mathematics
Computational Mathematics
Modeling and Simulation
Fracture (geology)
Kinematic hardening
0101 mathematics
Laplace operator
Analysis
Mathematics
- Language
- ISSN
- 1290-3841
0764-583X
This paper deals with an existence theorem for a model describing an elasto-viscoplastic evolution of a 2D material with linear kinematic hardening and fracture where the Griffith fracture energy is regularized using a r -Laplacian.