Simple shear

Authier, A.; Zarembowitch, A.

doi:10.1107/97809553602060000630

International
Tables for
Crystallography
Volume D
Physical properties of crystals
Edited by A. Authier

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International Tables for Crystallography (2006). Vol. D. ch. 1.3, p. 76

Section 1.3.1.4.3. Simple shear

A. Authier^a ^* and A. Zarembowitch^b

^a Institut de Minéralogie et de la Physique des Milieux Condensés, Bâtiment 7, 140 rue de Lourmel, 75015 Paris, France, and ^bLaboratoire de Physique des Milieux Condensés, Université P. et M. Curie, 75252 Paris CEDEX 05, France
Correspondence e-mail: aauthier@wanadoo.fr

1.3.1.4.3. Simple shear

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Matrix $[M_{ij}]$ has one coefficient only, a shear (Fig. 1.3.1.5c): $[\pmatrix{0 &s &0\cr 0 &0 &0\cr 0 &0 &0\cr}. ]$ The matrix is not symmetrical, as it contains a component of rotation. Thus we have $[\left.\eqalign{x'_{1} &= x_{1} + sx_{2}\cr x'_{2} &= x_{2}\cr x'_{3} &= x_{3}.\cr}\right\} ]$ One can show that the deformation is a pure shear associated with a rotation around $[Ox_{3}]$ .

References

International Tables for Crystallography (2006). Vol. D. ch. 1.3, p. 76