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

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

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Illustrative Example: Two-Scale Elasticity, Continued<br />

S 122(Imbedded Crystal) Σ 122(Matrix Crystal)<br />

[ S, Σ]/<br />

Eb<br />

Stationary Crack, 5μm× 5 μm,<br />

� ε ε<br />

−1<br />

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

Materials Design Implications:<br />

Matrix gradient term (curvature, nonlocality) is important for local fracture processes…<br />

accounts for lattice curvature <strong>and</strong> accommodation processes

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