Strain Transformation

The state of plane strain can be described by the following two basic equations. (Concept & derivation is similar to that in stress transformation and the equations are also similar. For details, see Ref 8 : Popovers. P.430-P.435)



Note the similarity between equations (A) & (H) and equation (B) and (I). With equation (H) & (I) defined, equations involving principal normal strains, principal shear strain and the associated normal strain, and the angles of these principal planes can be derived.
(For details, see Ref 8 : Popovers P.435-436)




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