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The unified expression of fatigue characteristics under different test conditions for asphalt mixtures was realized.
A relation between the modal balancing and the influence coefficient methods, which are the two main techniques of balancing, is established which is a unified expression of both methods.
The unified expression of the notch stress strain calculation developed in this paper can thus provide a more logical approximate approach for estimating the elastic plastic notch-tip stress and strain responses of components subjected to lengthy multiaxial cyclic loading histories for local strain approach-based fatigue-crack-initiation life prediction.
But carving pennies wasn't simply a unified expression of outrage.
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There can be creative advantages to the episodic model too, even if you grant that serialized, short-season cable shows will probably be more unified expressions of their creators' ideas.
First, unified expressions of the joint probability function with quantized state variables for a non-stationary stochastic system and the joint factorial moments are found in a general form, including previous well-known results.
On the other hand, concerning the practical accessibility, the set of (18a) and (18c)—the level-2 expression has the advantages that (i) it is seamlessly solvable at all latitudes and (ii) it provides a unified expression for all types of waves with which to estimate the direction of the group velocity.
This provides a unified expression for the design of a planar four-bar linkage with arbitrary n positions for a flapping wing.
Partial differentiation of (12) with respect to wavenumber k yields a unified expression for the group velocity of equatorial waves, begin{array}rcl@ frac{partial omega}{partial k} = frac{2 k omega + 1 }{3 omega^{2} - k^{2} +2n +1)}= frac{2 omega^{2} + omega/k}{2omega^{3}/k+1}, end{array} (13).
Because the order of freeform surface is unknown, it can hardly use an unified expression to describe the surface exactly.
It is also shown that in the case of multiaxial cyclic loading, the unified expression distinctly improves the accuracy of the notch-tip stress strain estimations in comparison with Neuber's rule and the ESED method.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com