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The particle-loaded vesicle inheritance variability is shown in Figure 7 B, which is a scatter plot of the particle inheritance as a function of nanoparticle-loaded vesicle inheritance; that is, uniform loading of the vesicles would give equal fractions and produce a straight line at 45° to the axes.

Such counter-intuitive phenomenon has design implications if irregular earthquake loadings in the field are incorrectly represented as equivalent uniform loading in the laboratory.

Figure 6 displays a comparison between deformation versus loading and associated failure envelope of uniform loading (a) and non-uniform loading (b).

A case of non-uniform loading requires more pressure and the system experiences less deformation until failure as compared to a similar case with uniform loading configuration.

Figure 7 displays a comparison between loading versus thickness for different lateral dimensions of tarmat in the cases of uniform loading (a) and non-uniform loading (b); respectively.

Open image in new window Fig. 2 Regular parallel chord vierendeel girder under uniform loading.

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Firstly, a detailed study of the failure mechanisms that take place in case of non-uniform loading is carried out.

Open image in new window Fig. 7 Comparison of loading versus thickness graphs for various lateral dimensions with uniform and non-uniform loading assumption.

Then the fictitious stress method is deployed to investigate the stresses for the multi-casing structure under non-uniform loading conditions and an irregular wellbore.

Tarmat response under uniform and non-uniform loading has been studied, and the resulting forces are a consequence of the developed normal and shear stresses.

For a tarmat of certain influential properties more pressure differential is required to observe geomechanical failure in the case of non-uniform loading.

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