Mathematical Physics

    

On the Reconstruction of the Rotation from Stresses with Respect to Rotated Coordinate Axes

Authors: Aloys J. Sipers, Joh. J. Sauren

In this letter a theorem is stated on the reconstruction of the rotation from stresses with respect to rotated coordinate axes. In most literature a coordinate axis rotation is defined by an angle. Motivated by practical applications, we define the rotation by a unit vector expressed in Cartesian coordinates. An example and an application from the analysis of extreme stresses clarify the theoretical result and demonstrate the practical potential of the theorem.

Comments: 7 Pages.

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[v1] 2022-07-05 10:32:32

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