Elasticity - Homepages

3/22/2002, Friday Multiscale Concept Size Scale 2

K ry IC ys Continuum Mechanics Assumption

Governing equations are size independent Constitutive model, equilibrium equations, Material Behavior is Size Dependent

r > ry, elastic r < ry, plastic Dislocation Core Gb2 r1

E edge= ln 4(1) r0 Outside r1, no distortion; Inside r0, dislocation core, quantum mechanics

Between r0 and r1, elastic field Void Stress Field a > a0, Lames classical solution for an elastic 2D plate.

a ~ a0, interatomic traction on the surface. Crack-path Dependence on Residual Stress

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