Sentence examples for utilized to formulate the from inspiring English sources

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

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

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

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.

Furthermore, the response surface method (RSM) was utilized to formulate the bone remodeling responses in terms of gradient parameters across three layers.

The structure - electrochemical relationships were utilized to formulate insights on the electronic and ionic transport limitations observed in typical nanocomposite powders.

For validation, the principle of virtual work and Navier-type closed-form technique were utilized to formulate and solve the bending problem of functionally graded plates.

The dislocation solution is utilized to formulate integral equations for the strip weakened by multiple smooth cracks under anti-plane deformation.

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

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.