Calculate the stress developed inside a tooth cavity that filled with copper. When hot tea at temperature 57^(@)C is drunk. You can take body (tooth) temperature to be 37^(@)C and alpha = 1.7 xx 10^(-5//""^(@))C bulk modules for copper = 140 xx 10^(9) Nm^(–2).

Calculate the stress developed inside a tooth cavity that filled with

1.	Calculate the stress developed inside a tooth cavity that filled with copper. When hot tea at temperature 57^(@)C is drunk. You can take body (tooth) temperature to be 37^(@)C and alpha = 1.7 xx 10^(-5//""^(@))C bulk modules for copper = 140 xx 10^(9) Nm^(–2).
Answer» Solution :THERMAL stress = Kx strain = `(KDeltaV)/(V)` Now , `"" GAMMA= (DeltaV)/(VDeltaT) or (DeltaV)/(V)=gammaDeltaT` Thermal stress `=K gamma DeltaT= 3K alpha DeltaT "" [because gamma=3alpha]` `=3xx140xx10^(9)xx1.7xx10^(-5)xx20` `=1.428xx10^(8)Nm^(2)`