Analytical relations are derived to relate strain tensors and tangent stiffness moduli in the nominal and healing configurations for each postulated transformation hypothesis (i.e. strain, elastic strain energy, and power equivalence hypotheses).
All analyses to this point were based upon analytical relations.
It can follow analysis, but it has no power of anticipating any analytical relations or truths".
In the present work, three analytical relations were presented to replace these neural networks.
The purpose of the paper is to show analytical relations indicating possible optimum operating conditions.
Analytical relations of the compressor elemental stage and the multi-stage compressor are obtained.
Next, using analytical relations, the undulation of representative layers of braided tows is calculated.
The results indicate that the analytical relations are accurate for a wide range of geometrical parameters.
Here, we present analytical relations connecting linear interfaces and volume fractions in triangular and tetrahedral grids.
The mechanistic models, however, usually include some physical phenomena with analytical relations to predict the flow patterns.
