Are Principal Strains Always Tensile/Compressive or Can They Be Shear?

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Principal strains are defined as normal strains that are either tensile or compressive, not shear strains. They occur on principal planes that are orthogonal to the principal stress planes, which are also normal in nature. The discussion confirms that principal strains are maximum strains at a point and emphasizes their orthogonality, supported by formal derivations found in textbooks. Thus, principal strains cannot be shear strains, as they are inherently linked to normal stress conditions.

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Are principal strains necessarily tensile/compressive or can they be shear strains also? And are the principal strain planes parallel to principal stress planes at a point?
 
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By definition, principle stresses are normal in nature and not shear and are normal to the principal planes.
 
I thought by definition principal strains were just the maximum strains at a point and the fact that they are normal to principal planes is not so obvious. My textbook even has a formal derivation just to prove that the principal strains are orthogonal.
 
The idea is that in any compatible stress/strain field, you can find a coordinate system in which the only stresses are normal. These stresses are the principal stresses and are orthogonal. By definition, then, they are tensile rather than shear in nature.
 

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