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Wing Kam Liu* and Wei Chen, Northwestern University ... - SAMSI

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Illustrative Example: Two-Scale Elasticity<br />

Dominant Edge Crack<br />

Aluminum Matrix (Usual DOFs)<br />

20% precipitates (Additional DOFs)<br />

Stationary Crack, 5μm× 5 μm,<br />

� ε ε<br />

−1<br />

nom = 20,000 s , nom = 14%<br />

20% Volume fraction of precipitates<br />

Illustration of Design of Materials<br />

Strengthening Mechanisms<br />

(a)Spatial Patterns (Normal Stress)<br />

(b)Magnitudes & Signs (Shear stress)<br />

(c)Curvatures, Nonlocality (Stress couples)<br />

Nanosized<br />

Ω Precipitate<br />

Aluminum<br />

Matrix

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