Sentence examples for analytical relation is from inspiring English sources

Finally, an analytical relation is defined between overstrength factor of links, damage distribution capacity factor and plastic rotation of links to obtain quantitative evaluation of the structural damage of eccentrically braced structures upon first failure of links.

Using Coble creep with a threshold stress for finer grains and conventional Hall Petch strengthening for larger grains, an analytical relation is derived for the yield stress as a function of grain size for a range from very large to very small.

It is seen that the present solution with T-stress can properly describe the crack-tip fields under various constraints for different specimens and an analytical relation is established between the critical value of J-integral, Jc, and T-stress for elastic plastic fracture.

Nevertheless, the relation between delay, protein half-life and cooperativity required for oscillatory solutions (see page 192 of Ref. [ 5] for the analytical relation) is not easily fulfilled under normal conditions, and this is also the reason for not considering these delays in the general-purpose modeling of genetic circuits.

Making use of the non-linear model, an analytical relation was found between the parameters of the system that define the region over which oscillatory instabilities are possible.

The overall accuracy of the proposed analytical relations is evaluated against experimental results from seven centrifuge and five large shaking table experiments.

In parallel, a set of design charts and analytical relations is established, for approximate computation of maximum pile deflections and bending moments, using a "theory guided" multi-variable statistical analysis of the numerical predictions.

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).

In the present work, three analytical relations were presented to replace these neural networks.

The results indicate that the analytical relations are accurate for a wide range of geometrical parameters.

In this work, three analytical relations are introduced to replace the neural networks of the main model.