Lecture_2.pdf - Science and Engineering of Materials CEP...

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Science and Engineering of Materials CEP 319 Lecture 2
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The expression ln(A o /A) must be used after necking begins.
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Modulus of Elasticity The modulus of elasticity (E) , or Young’s modulus, is the slope of the stress - strain curve in the elastic region. This relationship is Hooke’s law.
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The modulus is closely related to the forces bonding the atoms in the material (Figure 6-8): A steep slope in the force-interatomic spacing graph at the equilibrium spacing indicates that high forces are required to separate the atoms and cause the metal to stretch elastically . Thus, the metal has a high modulus of elasticity. Binding forces, and consequently the modulus of elasticity, are higher for high melting point metals.
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The modulus is a measure of the stiffness of the material. A stiff material, with a high modulus of elasticity, maintains its size and shape even under an elastic load. If we are designing a shaft and bearing, we may need very close tolerances.
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  • Spring '14
  • Deformation, Tensile strength, Modulus, high modulus

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