Sentence examples for dynamic integral from inspiring English sources

Example 1: Consider the delay dynamic integral equation on time scales (68).

Sun and Hassan [15] studied the following dynamic integral inequality with mixed nonlinearities.

To find the solution dynamic integral equation we provide the following example.

The SST k-ω model seems more appropriate for the prediction of such dynamic integral quantities.

However, nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales have been paid little attention to.

In this paper, the authors propose a novel dynamic integral sliding mode controller for state dependent matched and unmatched uncertainties.

Then, the path-independent separated dynamic J integral is extended to piezoelectric bimaterials.

Finally, a novel application of the dynamic J integral is used to calculate the stress intensity factor history.

XFEM-based dynamic interaction integral method is developed to reduce the calculation error caused by the non-matching meshes in the crack-tip area.

The response curves of the dynamic J integral, the stress and electric displacement intensity factors are obtained for both homogeneous material (PZT-4 and CdSe) and CdSe/PZT-4 bimaterial.

Especially, for steady-state crack propagation in a magneto-electro-elastic solid, the path-independent dynamic contour integral is determined from the asymptotic near-tip field solution based on the Stroh-type formalism and the resulting dynamic energy release rate has an odd dependence on the dynamic magnetic induction intensity factor and the dynamic electric displacement intensity factor.