In order to select an optimal structure among possible similar
structures, one needs to compare the elastic behavior of the
structures. A new criterion that describes elastic behavior is the
rate of change of deformation. Using this criterion, the safe
dimensions of a structure that are required by the stress
distributed in a structure can be calculated. The new non-linear
theory of elasticity allows one to determine the actual individual
limit of elasticity/failure of a structure using a simple
non-destructive method of measurement of deformation on the model
of a structure while presently it can be done only with a
destructive test for each structure. For building and explaining
the theory, a new logical structure was introduced as the basis of
the theory. One of the important physical implications of this
logic is that it describes mathematically the universal domain of
the possible stable physical relations.
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