Sentence examples for using the weight function from inspiring English sources

An effective expression is developed analytically to evaluate the stress intensity factor using the weight function method.

Time-varied thermal stress intensity factors are obtained by using the weight function method for various parameters of the problem.

The desired drug release profile of TA-SRPs was obtained via the point-area deconvolution procedure using the weight function and response function, and used for formulation optimization of TA-SRPs.

The toughening effect is estimated from the change in crack tip stress intensity induced by ferroelastic domain switching near the crack tip using the weight function formalism developed for stress-induced transformation toughening of zirconia ceramics.

The method for the calculation of stress intensity factors for surface cracks in T-plate joints with built-in ends under arbitrary mode I loads using the weight function method is presented first.

The steady state solution of the thermoelasticity problem is derived analytically and then, the stress intensity factors are extracted for the semi-elliptical crack using the weight function method.

Finally, the moving least squares (MLS) method is applied to construct the shape functions using the weight functions with compact support for assembling the meshless approximations of state equations.

Table 1 shows the IS divergence per bin for four methods including sc-NTF without the weighting function G. sc-NTF using the weighting function produces worse results than p-NTF and sc-NTF without the weighting function in terms of approximation, due to the lesser weights of the broad range and the more weights of the relatively narrow target direction.

In the formulation, the authors (Kumar and Pandey 2012) used the weight function of the centrally cracked infinite strip with a finite width specimen (Tada et al. 2000) and the equivalent four terms of universal weight function (Wu et al. 2003) for computing the value of cohesive toughness and consequently determining the initial cracking toughness.

The proposed method uses the weighting function to exclude the ghost artifacts.

As an example, additional errors of Brewer Umkehr retrieval algorithms, when they use the weighting functions calculated for approximation of single-scattering, are evaluated.