relations are
:The moments corresponding to these stresses are
:

Pure bending

The displacements and are zero under pure bending conditions. For an isotropic, homogeneous plate under pure bending the governing equation is
:In index notation,
:In direct tensor notation, the governing equation is

Transverse loading

For a transversely loaded plate without axial deformations, the governing equation has the form
:where
:for a plate with thickness

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