Chapter 2 Thermal Expansion
THE COEFFICIENT OF LINEAR thermalexpansion (CTE, , or 1) is a material propertythat is indicative of the extent to which a mate-rial expands upon heating. Different substancesexpand by different amounts. Over small tem-perature ranges, the Thermal Expansion of uni-form linear objects is proportional to tempera-ture change. Thermal Expansion finds usefulapplication in bimetallic strips for the construc-tion of thermometers but can generate detrimen-tal internal stress when a structural part is heatedand kept at constant a more detailed discussion of thermalexpansion including theory and the effect ofcrystal symmetry, the reader is referred to theCINDAS Data Series on Material Properties,Volumes 1 to 4, Thermal Expansion of Solids(Ref 1).DefinitionsMost solid materials expand upon heating andcontract when cooled. The change in length withtemperature for a solid material can be ex-pressed as:(lf l0)/l0= 1(Tf T0) l/l0= 1 T 1=1/l(dl/dT)where l0and lfrepresent, respectively, the origi-nal and final lengths with the temperaturechange from T0to Tf.
THE COEFFICIENT OF LINEAR thermal expansion (CTE, α, or α 1) is a material property that is indicative of the extent to which a mate-rial expands upon heating.
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