  It is suggested, that a curved 4-dimensional space-time manifold is a
strained elastic plate in multidimensional embedding space-time. Its
thicknesses along extradimensions are much less than 4-dimensional sizes.
Reduced 4-dimensional free energy density of the strained plate in a weak
strain case is similar to GR Lagrangian density of a gravitational field for
the particular value of the Poisson coefficient of the plate. Dynamical
equations of the theory are obtained by variation of the multidimensional free
energy over displacement vector components. In general case they are
inhomogeneous bewave equations.
