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Dislocation Dynamics and Plasticity - California Institute of Technology

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Forest hardening − Summary & outlook<br />

• Model is based on line tension approximation<br />

• Motion by pinning/depinning at obstacles<br />

• Model gives parabolic hardening curve, correct<br />

Taylor scaling with obstacle density<br />

• Open mathematical questions:<br />

– Limit <strong>of</strong> infinite number <strong>of</strong> obstacles (N) at fixed<br />

obstacle density, e.g., Poisson distribution <strong>of</strong> obstacles<br />

– Loading/unloading, hysteresis…<br />

Michael Ortiz<br />

ROME0611

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