Sentence examples for are utilized to formulate from inspiring English sources

The dislocation solutions are utilized to formulate integral equations for dislocation density functions on the surfaces of smooth cracks.

Dynamically equivalent excitations are utilized to formulate a dynamic version of Saint-Venant's principle for symmetric excitations with frequencies below the first cut-off frequency of a strip.

The dislocation solutions are utilized to formulate integral equations for dislocation density functions on the surface of smooth cracks embedded in the half-plane under in-plane loads.

Secondly, the results are utilized to formulate the problem as two Lyapunov-based linear matrix inequalities (LMIs) for undirected networks, and four LMIs, for directed ones.

The mathematical model was utilized to formulate liquisolid powder systems.

Couple stress theory as a useful higher order continuum theory is utilized to formulate the problem.

Experimental observations were utilized to formulate the first-order regression models to predict responses of WEDM.

In this paper, the response surface method (RS M is utilized to formulate the complex design problem.

Based on the variational theory, the Discontinuous Galerkin (DG) approach is utilized to formulate the classic peridynamics governing equation.

The extended Hamilton principle is utilized to formulate the coupled fluid structure system, and a direct approach is employed to discretize the space domain of the problem.

In the second stage (modelling), all data gathered in the experimental works were utilized to formulate first-order models with interaction.