Variation of Young's modulus with orientation
Authier, A. and
Zarembowitch, A.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.3.4.4,
p.
[ doi:10.1107/97809553602060000902 ]
1.1.4.10.4
and
1.3.3.2.3).
The representation surface of, the inverse of Young's modulus, is illustrated in Figure
1.3.3.4 for crystals of different symmetries. As predicted by the Neumann principle ...
Particular elastic constants
Authier, A. and
Zarembowitch, A.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.3.4,
p.
[ doi:10.1107/97809553602060000902 ]
1.3.3.4.3. Young's modulus, Poisson's ratio
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If the applied stress reduces to a uniaxial stress,, the strain tensor is of the form In particular, We deduce from this that Young's modulus (equation
1.3.3.1 ...
Linear elasticity
Authier, A. and
Zarembowitch, A.,
International Tables for Crystallography
(2013).
Vol. D,
Section 1.3.3,
p.
[ doi:10.1107/97809553602060000902 ]
(). Poisson's ratio,, defined in Section
1.3.3.4.3, is then equal to 0.25, taking into account the relations between and given in Section
1.3.3.2.3 . In practice, Table
1.3.3.2 shows that in real crystals is never equal to 0.25 ...
