Hooke´s law in cylindical coodinates, with thermal terms

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SUMMARY

This discussion centers on the expression of Hooke's law in cylindrical coordinates, specifically incorporating thermal strain terms. The user seeks resources that provide this formulation, as existing literature typically omits thermal effects. A key contribution from user c4guy clarifies that, analogous to Cartesian coordinates, the linear thermal expansion strain should be subtracted from each of the three normal strains in cylindrical coordinates. This insight is crucial for understanding the complete behavior of isotropic materials under thermal conditions.

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  • Understanding of Hooke's law in elasticity
  • Familiarity with cylindrical coordinate systems
  • Knowledge of thermal strain concepts
  • Basic principles of isotropic materials
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C4guy
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Hi!


I hope this is the right subforum, if not, please inform me of the error of my ways.

It is easy to find Hooke's law for an isotropic solid in Cartesian coordinates, with thermal strain terms, by googling. It is also easy to find it in cylindrical coordinates, but without thermal strain terms.

However, I have not managed to find Hooke´s law expressed in cylindrical coordinates with thermal strain terms.

Does anyone have a link to a webpage with this expression of Hooke´s law? Does anyone have a link to solved elasticity problems in isotropic materials described in cylindical coordinates, with thermal effects?


Thanks in Advance.
c4guy
 
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As with Cartesian coordinates, in cylindrical coordinates, you just subtract the linear thermal expansion strain from each of the three normal strains.
 

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