A notation employed in the theory of elasticity in which elastic constants and elastic moduli are labeled by replacing the pairs of letters xx, yy, zz, yz, zx, and xy by the number 1, 2, 3, 4, 5, and 6 respectively.
Similarly, if we consider a purely mechanical system with linear constitutive relations of the form [bar.S] = [??][bar.T] where [bar.S] is the strain, [bar.T] the stress and [??] the compliance tensor in Voigt notation, then, plane wave solutions of this system yield three acoustic modes with possibly degenerate phase velocities: two corresponding to shear modes, and the third to a longitudinal wave along the direction of the wave vector.
It should be noted that in the above equations, stress and strain fields, along with piezoelectric and piezomagnetic coupling coefficients are represented in Voigt notation. The particular ordering used for the Voigt "vector" forms is shown in Equation (11).
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