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The phrase "affect the thickness of" is correct and usable in written English.
You can use it when discussing how one variable or factor influences the thickness of another material or object.
Example: "The temperature can significantly affect the thickness of the ice layer on the lake."
Alternatives: "influence the thickness of" or "impact the thickness of".
Exact(17)
To identify the potential factors affect that affect the thickness of corneal flaps created using 2 different microkeratome heads.
The proposed method also showed that moisture content and pyrolysis reactivity significantly affect the thickness of devolatilizing fuel.
The large deformation of the crankshaft would affect the thickness of the oil film, wear the bearings down or even induce the rotor-to-stator rubs.
Times of sonication did not significantly affect the thickness of the films (p < 0.05).
The increase of precursor concentration will affect the thickness of the pore wall.
The Tg and the deposition time affect the thickness of the SiO x films and (SiO x /SiO y ) junctions.
Similar(43)
Strength of subgrade affects the thickness of pavement layers placed over it.
The polymer type, applied voltage and scaffold fabrication technique were critical factors affecting the thickness of nanofibrous scaffolds.
Complementary quartz crystal microbalance (QCM) and surface current measurements reveal how the modified surface chemistry affects the thickness of the adsorbed water layer and the surface conductivity, respectively.
The change in grid requirement is due to the presence or absence of fuel blowing which affects the thickness of the wall viscous sub-layer.
When the Ag content is increased, as in case of Sn-3Ag and Sn-3.5Ag alloys; the shielding effect of Ag3Sn nanoparticles is the determinant factor for affecting the thickness of Cu6Sn5 IMC.
More suggestions(19)
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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