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The Friedman differential method (Friedman, 1964) and the incremental integral method by Vyazovkin (2001) were both extended to allow for an estimation of not only the apparent activation energy but also the effective kinetic prefactor, defined as the product of the pre-exponential factor and the conversion function.
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Based on the direct differentiation approach, the incremental boundary integral equations and related algorithms for both geometric and elastic viscoplastic sensitivity analysis are developed.
The configurational force concept enables the derivation of the incremental plasticity J-integral Jep, which is, in contrast to the conventional J-integral, physically appropriate to characterize the crack driving force in cyclically loaded elastic plastic materials with growing cracks.
Then the actual luminance is calculated based on road surveillance images, the incremental PID (Proportional-Integral-Derivative) method was adopted to ensure the actual luminance meet the requirements of tunnel lighting.
The true strain is calculated as the integral of incremental deformations along the tendon length change.
In summary, we found that the highest heritability for postprandial beta cell function was for the classical insulinogenic index, but the most specific beta cell function parameters appeared to be model-derived beta cell glucose sensitivity and the integral of incremental ISR during the first 30 min postprandial.
The main developments focus on the coupling between the M-integral and an incremental formulation for the viscoelastic behavior.
In contrast, incremental model identification, which is an integral part of the MEXA methodology, constitutes a physically motivated divide-and-conquer strategy to kinetic model identification.
Moreover, the control action in an incremental form is equivalent to introduce an integral action, thereby cancelling the steady state errors.
Secondly, an incremental hole drilling technique together with the integral method, which allowed the analysis of the non-uniform through-thickness residual stresses present in the coatings.
To obtain the complete theoretical results, the so-called non-dimensionalized added virtual mass incremental factors, are obtained by employing the integral transformation technique in conjunction with the Fourier-Bassel series approach.
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