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02 - Elastic properties of solids(class notes only Solids...

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Elastic properties of solids (class notes only) Solids Characteristics of solids: Have well defined volume Have well defined shape Are comprised of atoms / molecules that : are held in specific locations by electromagnetic forces (modeled as springs on the figure) vibrate about equilibrium positions
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Deformation of solids All objects are deformable, i.e It is possible to change the shape or size (or both) of an object through the application of external forces
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Stress, strain and elastic modulus Stress is the force per unit cross–sectional area, that causes deformation Strain is a measure of the degree of deformation l strain stress For sufficiently small stresses, the stress is directly proportional to the strain The constant of proportionality depends on: the material being deformed and the nature of the deformation The constant of proportionality between stress and strain is defined as: stress Elastic modulus= strain
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Deformation of solids under stress
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Elastic properties in 1D: Young’s Modulus Forces of tension (F T ) or compression (F C ) per unit cross-sectional area A, are defined as: = = = i i F F L tensile stress
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02 - Elastic properties of solids(class notes only Solids...

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