Hooke´s law in cylindical coodinates, with thermal terms

AI Thread Summary
Hooke's law for isotropic solids is readily available in Cartesian coordinates, including thermal strain terms, but similar resources in cylindrical coordinates are scarce. The user seeks links to expressions of Hooke's law in cylindrical coordinates that incorporate thermal strain, as well as solved elasticity problems for isotropic materials in this format. A response clarifies that, like in Cartesian coordinates, the linear thermal expansion strain can be subtracted from the normal strains in cylindrical coordinates. The discussion highlights the need for more accessible resources on this specific topic. Finding comprehensive examples remains a challenge for those studying elasticity in cylindrical coordinates with thermal effects.
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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