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Ideal Mechanical Strength. Lindsay O’Brien, Course 22 9/27/12. Clarification of Variables. Potential Learning Landscape. Potential Energy Landscape. Activation Energy. Turning Point. Things to Remember: First derivative of potential is force
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Ideal Mechanical Strength Lindsay O’Brien, Course 22 9/27/12
Potential Energy Landscape Activation Energy Turning Point • Things to Remember: • First derivative of potential is force • Force = 0 corresponds to minimum or saddle point • When the second derivative of potential is zero, you’re at a turning point Concave Convex http://www.engr.ucsb.edu/~shell/che210d/Exploring_the_energy_landscape.pdf
Shear and Bulk Moduli Hydrostatic!
Measurement of Ideal Stress • Assumptions • Perfect lattice with no defects • Temperature = 0 K Oh no! ɛhydro ɛshear
Prove it! • Electron glue is local (only care about atomic planes directly below and above)
Further Simplification Small Deformation (Small x) Large Deformation (Large x)