The phrase "as a function of the equivalent" is correct and usable in written English.
It can be used in contexts where you are discussing a relationship or dependency between two variables or concepts, often in mathematical or technical discussions.
Example: "The output of the system varies as a function of the equivalent input parameters."
Alternatives: "in relation to the equivalent" or "based on the equivalent".
First, the formula for FCI life is given as a function of the equivalent stress amplitude, and the procedures for investigating overload effects are introduced.
Stress calculations are made with due consideration of the evolution of mechanical properties of concrete as a function of the equivalent age, as well as relevant phenomena like creep, concrete cracking and influence of reinforcement.
In the new ductile fracture criterion, void nucleation is described as a function of the equivalent plastic strain, void growth is a function of the stress triaxiality and void coalescence is controlled by the normalized maximal shear stress.
The static elastoplastic characterization of metals consists of the determination, by way of experimental tensile tests, of the curve expressing the equivalent von Mises stress as a function of the equivalent plastic strain for each given material.
Finally a simple fatigue strength diagram, in the form recently proposed by Atzori and Lazzarin and calibrated on experimental fatigue test results, is proposed, so that one can estimate the fatigue strength of a welded joint, in terms of structural stress at a given number of cycles, as a function of the equivalent V-notch depth.
In the model, the strength and ductility of confined concrete are defined as a function of the equivalent uniform lateral confining pressure ( sigma_{le} ), and the tensile stress of concrete is ignored (Eq. (1)).
This drift increased as a function of the incubation time (equivalent to time of measurement).
Total required energy is represented as a function of the pressure based on the equivalent work.
Number of insertion errors in GS 20 combined sequence, as a function of the GS 20 phred-equivalent quality score at the insertion error site.
The elastic modulus of the equivalent mortars as a function of the moisture content is measured through resonant ultrasound spectroscopy.
When the two elements are rotated relative to each other, the equivalent focal length varies as a function of the rotation angle.
