The robustness of the r-DFAn procedure is established by the systematic use of robust regression, piecewise linear regression, Analysis of Covariance (ANCOVA) and Multiple Comparison Procedure to determine statistically significant scaling exponents and optimum crossover locations.
The FGT tubes main dimensions are ( {t}_1=1 ) mm, ( {t}_2=3 ) mm, die geometry ( r=4 ) mm, and coefficient of friction ( {mu}_{mathrm{d}}=0.03 ). Figure 15 shows significant effect of exponent gradient m on the DAF for both UT and FGT tubes.
He was arguably the most significant present day exponent of the unitive philosophical and mystical system called Advaita Vedanta, that proclaims the full unity of all being, and obviously the full unity of God, encompassing the transcendent and immanent fields.
Porous networks based on other particle morphologies such as oblate (i.e. disk-type) ellipsoids or lamellar or flaky materials increase the tortuous path for ionic conductivity and result either in a significant increase of the exponent α, or in a complete deviation from the power law.
The observed exponents showed significant deviations from the classical 1/3rd law.
Based on the established surrogate models, the surface plots of crashworthiness criteria indicate that the combination of gradient patterns and the gradient exponents have significant effect on overall crashing performances.
The equivalence ratio and N2 content in the mixture were found to have significant influence on the temperature power exponent.
A significant change in the stress exponent n of the Norton occurs around 330 MPa and 380 MPa for 12Cr- and 14Cr-ODS, respectively, pointing at a change in creep mechanism of the ODS steels.
The variation of the parameter r has an important impact on the BER performance, and we will show in the next section that this variation has no significant impact on the Lyapunov exponent of this map.
Numerical comparative analysis results reveal that impact angle and the gradient exponent have a significant effect on crashworthiness of the FGF-filled tubes, and the FGF-filled tubes surpass the uniform foam (UF -filled tUF -filledashwortubesss for varinus impacrashworthiness
