This background pattern looks like bamboo to me. Feel free to download it for your website (for your blog perhaps?).
Source V. Hartikainen
From a drawing in 'At home', J. Sowerby, J. Crane and T. Frederick, 1881.
Source Firkin
Prismatic Hexagonalism Pattern No Background
Source GDJ
Seamless , tileable CC-0 texture. Created by my own, feel free to use wherever you want!
Source Linolafett
A pattern derived from repeating unit cells each derived from part of a fractal rendering in paint.net.
Source Firkin
Used in small doses, this could be a nice subtle pattern. Used on a large surface, it’s dirty!
Source Paul Reulat
A bit strange this one, but nice at the same time.
Source Diogo Silva
One more updated pattern. Not really carbon fiber, but it’s the most popular pattern, so I’ll give you an extra choice.
Source Atle Mo
Colorful Floral Background 3 No Black
Source GDJ
Vector version of a png that was uploaded to Pixabay by pencilparker
Source Firkin
Prismatic Groovy Concentric Background 2
Source GDJ
The first pattern on here using opacity. Try it on a site with a colored background, or even using mixed colors.
Source Nathan Spady
Super detailed 16×16 tile that forms a beautiful pattern of straws.
Source Pavel
A seamless pattern the starting point for which was a 'colour modulo' texture in Paint.net.
Source Firkin
A grayscale fabric pattern with vertical lines of stitch holes.
Source V. Hartikainen
Subtle scratches on a light gray background.
Source Andrey Ovcharov
Love the style on this one, very fresh. Diagonal diamond pattern. Get it?
Source INS
The square tile this is based on can be had by selecting the rectangle in Inkscape and using shift+alt+i
Source Firkin
Light gray version of the Binding pattern that looks a bit like fabric.
Source Newbury
Remixed from a raster on Pixabay that was uploaded by ArtsyBee.
Source Firkin
Adapted heavily from a JPG that was uploaded to Pixabay by Viscious-Speed.
Source Firkin