An Equilibrium Theory of Dislocation Continua

DOI10.1137/1035136zbMath0816.73050OpenAlexW1967141778MaRDI QIDQ4280363

A. K. Head, S. P. Tighe, S. D. Howison, John R. Ockendon

Publication date: 23 July 1995

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1035136

zbMATH Keywords

stress fieldshomogenized modeldiscrete dislocations

Mathematics Subject Classification ID

Micromechanics of solids (74M25) Micromechanical theories (74A60)

Related Items (12)

On the three-dimensional filon construct for dislocations ⋮ A continuum model for dislocation dynamics in three dimensions using the dislocation density potential functions and its application to micro-pillars ⋮ Finite element approximation of finite deformation dislocation mechanics ⋮ New inroads in an old subject: plasticity, from around the atomic to the macroscopic scale ⋮ A remark on stress of a spatially uniform dislocation density field ⋮ Travelling wave solutions for a quasilinear model of field dislocation mechanics ⋮ A distributional approach to the geometry of \(2D\) dislocations at the continuum scale ⋮ Stress of a spatially uniform dislocation density field ⋮ Riemann-Cartan geometry of nonlinear dislocation mechanics ⋮ Homogenization of a Row of Dislocation Dipoles from Discrete Dislocation Dynamics ⋮ New Perspectives in Plasticity Theory: Dislocation Nucleation, Waves, and Partial Continuity of Plastic Strain Rate ⋮ Finite element approximation of field dislocation mechanics

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