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 Results for DC.creator="A." AND DC.creator="Authier" in section 1.3.1 of volume D   page 1 of 2 pages.
Strain tensor
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1, pp. 72-76 [ doi:10.1107/97809553602060000902 ]
... 1.3.1.1. Introduction, the notion of strain field | | Let us consider a medium that undergoes a deformation. This means that the various points of the medium ... one another. Geometrical transformations of the medium that reduce to a translation of the medium as a whole will therefore ...

Pure shear
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.4.2, p. 76 [ doi:10.1107/97809553602060000902 ]
Pure shear 1.3.1.4.2. Pure shear This is a pure deformation (without rotation) consisting of the superposition of two ... the cubic dilatation is zero): The quadric of elongations is a hyperbolic cylinder. References International Tables for Crystallography (2013). Vol. ...

Simple elongation
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.4.1, p. 75 [ doi:10.1107/97809553602060000902 ]
... 1.3.1.5 | | Special deformations. The state after deformation is represented by a dashed line. (a) Simple elongation; (b) pure shear; (c) simple shear. References International ...

Particular components of the deformation
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.4, pp. 75-76 [ doi:10.1107/97809553602060000902 ]
... 1.3.1.5 | | Special deformations. The state after deformation is represented by a dashed line. (a) Simple elongation; (b) pure shear; (c) simple shear. 1.3.1.4.2. Pure shear | | This is a pure deformation (without rotation) consisting of the superposition of ...

Geometrical interpretation of the coefficients of the strain tensor
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.3.2, p. 75 [ doi:10.1107/97809553602060000902 ]
... from the generality of the following by limiting ourselves to a planar problem and assuming that point P' to which P ... planes parallel to , and , respectively. To summarize, if one considers a small cube before deformation, it becomes after deformation an arbitrary ...

Definition of the strain tensor
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.3.1, pp. 74-75 [ doi:10.1107/97809553602060000902 ]
... respect to unity, one can describe the deformation locally as a homogeneous asymptotic deformation. As was shown in Section 1.3.1.2.4, it ... can be put in the form of the product of a pure deformation corresponding to the symmetric part of , , and a pure rotation corresponding to the asymmetric part, : Matrix B ...

Arbitrary but small deformations
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.3, pp. 74-75 [ doi:10.1107/97809553602060000902 ]
... respect to unity, one can describe the deformation locally as a homogeneous asymptotic deformation. As was shown in Section 1.3.1.2.4, it ... can be put in the form of the product of a pure deformation corresponding to the symmetric part of , , and a pure rotation corresponding to the asymmetric part, : Matrix B ...

Quadric of elongations
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.2.5, pp. 73-74 [ doi:10.1107/97809553602060000902 ]
... the length of the vector r in the deformation. Let A and S be the antisymmetric and symmetric parts of M ... of the elongation: The geometrical study of the elongation as a function of the direction of r is facilitated by introducing the quadric associated with M: where is a constant. This quadric is called the quadric of elongations, ...

Expression of any homogeneous deformation as the product of a pure rotation and a pure deformation
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.2.4, p. 73 [ doi:10.1107/97809553602060000902 ]
Expression of any homogeneous deformation as the product of a pure rotation and a pure deformation 1.3.1.2.4. Expression of any homogeneous deformation as the product of a pure rotation and a pure deformation (i) Pure rotation: ...

Cubic dilatation
Authier, A. and Zarembowitch, A.  International Tables for Crystallography (2013). Vol. D, Section 1.3.1.2.3, pp. 72-73 [ doi:10.1107/97809553602060000902 ]
... three vectors The parallelepiped formed by these three vectors has a volume V' given by where is the determinant associated with ... matrix B, V is the volume before deformation and represents a triple scalar product. The relative variation of the volume is ...

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