Title: The theory of shear stress and shear strain on planes inclined to the principal directions
Abstract: Given the magnitudes and orientations of the principal stresses, the normal and shear components of stress acting on a plane of arbitrary orientation are determined either graphically or with the aid of a novel type of vector product. The normal stress σn due to the action of a stress vector σ on a plane of pole n is the star product n∗σ, which is defined as a vector oriented parallel to n with magnitude equal to the dot product n·σ. The shear stress vector σ3, is given by the vector difference σ —σn. In the case of a deformation, given the magnitudes and orientations of the principal stretches, the shear strain of an arbitrary line is determined by a related, but significantly different, procedure.
Publication Year: 1990
Publication Date: 1990-01-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 12
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