New Physical Interpretation of Incompatibility and Application to Dislocation Substructure Evolution

Yoshiteru Aoyagi; Tadashi Hasebe

doi:10.4028/www.scientific.net/KEM.340-341.217

Paper Titles

Dependence of Localized Deformation on Point Defect Development Caused by Intersected Cross Slip among Dislocations
p.193

Crystal Plasticity Analysis of Dislocation Accumulation in ULSI Cells with Consideration of Temperature Dependence of the Lattice Friction Stress for Silicon
p.199

Multiscale Modeling and Simulation of Crystal Plasticity Based on Dislocation Patterning in Polycrystal
p.205

Effects of Crystallographic Texture on Plastic Flow Localization
p.211

New Physical Interpretation of Incompatibility and Application to Dislocation Substructure Evolution
p.217

Inspection and Model Experiment of a Damaged Arch Bridge
p.223

Destructive and Ultrasonic Investigations of Damage Development in Metallic Materials
p.229

Continuum Damage Model of Creep-Fatigue Interaction in Ni-Base Superalloy
p.235

Elastic-Plastic Deformation of Perforated Sheets with Randomly Distributed Holes
p.241

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New Physical Interpretation of Incompatibility and Application to Dislocation Substructure Evolution

Abstract:

Physical interpretations of the incompatibility tensor are extensively discussed and applied to model several practically-important dislocation substructures in metallic materials. This paper firstly performs a tangible decomposition of the incompatibility tensor into the two types of defects by introducing Nye’s contortion tensor, and also clarifies the interrelationship with expressions given based on differential geometry. The effects on the evolutions of intra-granular substructures like cells and geometrically-necessary type bands are examined based on finite element simulations on multi-grain models under tension and simple shear with several representative orientations.