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Because these wrinkling parameters are given by a traditional wrinkling analysis using tension-field theory, the formulated equation reveals an approximate wrinkle wavelength and a maximum amplitude appearing on the thin membranes without cumbersome bifurcation analysis and has characteristics applicable to various types of structures.
The experimental results were used to validate the formulated equation.
Regarding the interaction between the parameters, the only interaction considered was size vs surface treatment; The formulated equation is shown to be an expedited tool for predicting maximum strain results.
Grunberg and Nissan [29] have formulated equation to assess the molecular interactions leading to viscosity changes: ln eta,; =,;x_{1}^ ln,eta_{1} ;, + ;,x_{2}^ ln,eta_{2},; +,;x_{1} x_{2} G_{12} (18)where, G 12 is a constant, proportional to interchange energy, η is the dynamic viscosity and the subscripts 1, 2 and 12 stands for the pure components, benzene, n-alkanes and mixtures, respectively.
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For theoretical investigation of formulated equations experimental values of base fluid and considered solid nanoparticles are used.
The proposed model (SoL) is composed of pre-existing equations selected from the current state of the art models, as well as newly formulated equations.
Numerical solution of the formulated equations using the finite-difference schemes allowed us to model the dynamics of nanoparticle formation on the glass surface - see Figure 5a.
Also formulated equations indicate the behaviour of reinforced concrete beams strengthened with external steel plates, and have been applied to two test series, from literature, to examine the ability and efficiency of them in predicting the deflection.
From the formulated equations presented in Figs. 6, 7, it can be concluded that the disparity in strength of stabilized jarosite-lime blends depends directly upon the curing period (t) and lime content (L).
However, for estimation of FM, previously formulated equations by Goran and Dezenberg showed significant difference in our population.
However, for estimation of FM, the previously formulated equations by Goran and Dezenberg revealed significant difference in our population.
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