# Dictionary:Compliance

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(k∂m plī’ ∂ns) The ratio of strain to stress, each with specified directions. Compliance constitutes a tensor of rank four, which is the inverse of the stiffness tensor. It is also expressible as a 6×6 matrix, using Voigt notation :

${\displaystyle \{S_{IJ}\}={\begin{pmatrix}S_{11}&S_{12}&S_{13}&S_{14}&S_{15}&S_{16}\\S_{12}&S_{22}&S_{23}&S_{24}&S_{25}&S_{26}\\S_{13}&S_{23}&S_{33}&S_{34}&S_{35}&S_{36}\\S_{14}&S_{24}&S_{34}&S_{44}&S_{45}&S_{46}\\S_{15}&S_{25}&S_{35}&S_{45}&S_{55}&S_{56}\\S_{16}&S_{26}&S_{36}&S_{46}&S_{56}&S_{66}\\\end{pmatrix}}}$

See main page: Compliance.

For isotropic compliances, see Figure E-5.

Compliance is the mechanical or acoustical equivalent of electrical capacitance.