  Deformational structures, in many aspects generalizing standard elasticity
theory, are investigated in abstract form. Within free deformational structures
we define algebra of deformations, classify them by its special properties,
define motions and conformal motions together with deformational decomposition
of manifolds, generalizing isometry of Riemannian spaces and consider some
physical examples. In frame of dynamical deformational structures we formulate
variational procedure for evolutional and static cases together with boundary
conditions, derive dynamical (equilibrium in static case) equations, consider
perturbative approach and perform deformational realization of the well known
classical field-theoretical topics: strings and branes theories, classical
mechanics of solids, gravity and Maxwell electrodynamics.
