Travelling wave solutions for a quasilinear model of field dislocation mechanics
From MaRDI portal
Publication:645787
DOI10.1016/j.jmps.2010.09.008zbMath1225.74012OpenAlexW2114405432WikidataQ59902229 ScholiaQ59902229MaRDI QIDQ645787
Karsten Matthies, Johannes Zimmer, Amit Acharya
Publication date: 10 November 2011
Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)
Full work available at URL: http://opus.bath.ac.uk/22134/1/Matthies_JMPS_2010_58_12_2043.pdf
Related Items
A single theory for some quasi-static, supersonic, atomic, and tectonic scale applications of dislocations ⋮ Viscosity solutions to a model for solid-solid phase transitions driven by material forces ⋮ A fundamental improvement to Ericksen-Leslie kinematics ⋮ Can equations of equilibrium predict all physical equilibria? A case study from Field Dislocation Mechanics ⋮ Continuum mechanics of line defects in liquid crystals and liquid crystal elastomers ⋮ Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities ⋮ New Phase-Field Models with Applications to Materials Genome Initiative ⋮ On the competition between dislocation transmission and crack nucleation at phase boundaries ⋮ Weak solutions to an initial-boundary value problem for a continuum equation of motion of grain boundaries
Cites Work
- Unnamed Item
- New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale
- Constitutive analysis of finite deformation field dislocation mechanics
- Structured phase transitions on a finite interval
- A phase plane discussion of convergence to travelling fronts for nonlinear diffusion
- Motion by mean curvature as the singular limit of Ginzburg-Landau dynamics
- Attractors of viscous balance laws: Uniform estimates for the dimension
- Heteroclinic orbits of semilinear parabolic equations
- Finite element approximation of field dislocation mechanics
- Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals
- User’s guide to viscosity solutions of second order partial differential equations
- An Equilibrium Theory of Dislocation Continua
- Metastable patterns in solutions of ut = ϵ2uxx − f(u)
- Solutions to a Model with Nonuniformly Parabolic Terms for Phase Evolution Driven by Configurational Forces
- A model of crystal plasticity based on the theory of continuously distributed dislocations
