Sentence examples for established by considering a from inspiring English sources

The constitutive relationships for air-entrained concrete were established by considering a micro cracked porous material with randomly distributed circular air voids and uniformly oriented cracks from the air voids.

For this, an accurate mathematical model for shape control is established by considering a critical factor for the performance of the smart beams.

A reference segmentation was established by considering a topic change associated with each report, the start and end boundaries being, respectively, placed at the beginning of the report's introduction and at the end of the report's closing remarks.

The limiting value of the energy release rate is established by considering an interface crack.

First, one genetic map by population was constructed and then a consensus map was established by considering nonsegregating loci in a population as missing data (the consensus map is available in Supporting Information, Figure S1).

Force balance equations for the leading and trailing partials are established by considering the Peach Koehler force from an applied stress field, repulsive force between leading and trailing partial dislocations, attractive force due to the stacking fault energy, and resistance (or damping) force to the glide of the partial dislocations.

The robustness of our method to density variations is established by considering cases where density varies sharply in space by a factor of up to 104, showing its applicability to two-phase flow problems.

The framework (axes) of an empirical chart can be established by considering the principal process variables.

At first, a single crystal laminate-based model is established by considering the average strain and polarisation compatibility conditions.

In order to solve this problem, a systematic screening model for ILs is established by considering the needed properties for gas absorption process design.

In the assessment, the monetary benefit or cost functions are frequently established by considering the overall benefit or lifecycle cost at present value for a given structural design life.