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Discover LudwigThe phrase "as a function of crack density" is correct and usable in written English.
It is typically used in scientific or technical contexts to describe how one variable changes in relation to another variable, in this case, crack density.
Example: "The material's strength decreases as a function of crack density, indicating that more cracks lead to weaker structures."
Alternatives: "in relation to crack density" or "depending on crack density."
Exact(2)
Under compression the propagation fracture toughness (characterized by change in energy release rate as a function of crack density) increases with increase in crack density.
Degradation of laminate moduli and laminate coefficients of thermal expansion, as well as degradation of the cracked lamina moduli and lamina coefficients of thermal expansion, are predicted as a function of crack density for laminated composites with intralaminar matrix cracks.
Similar(57)
In the model, the crack shape is assumed to be a function of crack density and delamination length.
We evaluated the microfracture density of 10 specimens as a function of crack surface area per unit volume (Table 2).
By repeating this process, the critical load for propagation of the crack is obtained as a function of crack size.
Numerical results for stress intensity factors and the crack contact length are obtained as a function of crack spacing.
Compliance of each specimen is plotted as a function of crack length.
Figure 3 Vibration displacement as a function of crack location for the AFM nanomachining.
The second surrogate model is trained using planar crack growth simulation to calculate the stress intensity factor as a function of crack size, crack orientation, and load magnitude for use in planar crack growth analysis.
Four-point bend fracture experiments are performed where the applied crack-driving forces are computed as a function of crack length.
Based upon the ΔPeff variation as a function of crack length, details of the crack closing behavior were further discussed.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com