Lecture 5 Elasticity

Lecture 5 Elasticity - Elasticity generalities before get...

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Elasticity – generalities before get down to specifics (Wednesday) 0) Single Crystal 1) Operation to create defect Must match boundary conditions on free surfaces Minimize energy, the later connects the stresses Talk about strain energy, “big” sense a) We do work on the system to create the defect – this external stored work is locked in as local strain energy at each point (dW) b) Total energy, done to create defect must equal the integrated stored energy basic conservation of energy c) Stored energy has to be a minimum (basic principle underlying many things) d) Minimization of the stored energy leads to a differential equation connecting strains, called a Hamiltonian (same term for historical reasons as in QM, the “M” in QM). Depending upon the case, we either calculate the total energy by an integration, or by the external work done to create the defect – do what is easiest. More formal
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This note was uploaded on 04/13/2010 for the course MAT SCI 404 taught by Professor Matsci during the Winter '10 term at Northwestern.

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Lecture 5 Elasticity - Elasticity generalities before get...

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