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Mechanical Properties | |||||||||||||
·
Writing
the stress, σ,
in terms of the interatomic potential gives:
σ = N(d2V/dr2)0 (r - r0) = ({r - r0}/r02)(d2V/dr2) i.e. σ= (d2V/dr2)0(ε)(1/r0) · Comparison with the continuum Hooke's Law gives: Young's Modulus = E = [(d2V/dr2)/r0 ] ·A potential well that has more curvature will give a material with a higher value of Young's modulus. · A material with a high melting point has a deep potential well and this has a higher curvature at r0 than a the shallow potential well of a low melting point material. · Young's modulus, within a bonding type, correlates with melting point: High Melting Point <-> Large Youngs Modulus. |
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