I' d propose the following:
A blade is an instrument that produces a deformation in the material, in opposition to a saw that is an instrument that removes material.
When the blade is inserted, the 2 parts of the wood are obliged to change orientation. In this case, one part is thick and changes not, the other is thin and takes all the deformation.
Since wood is a material aligned (not sure how to say that in English ) , it has a resistance that is not isotropic. Wood resists perfectly to traction & compression to a force parallel to its grain and resists poorly in the direction perpendicular to its grain.
When the carpenter uses its blade, it is always parallel to the wood grain (with the grain), the exerted force is perpendicular though and the thin peel of wood has absolutely no resistance to it, so it curls.
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Don't put the blade otherwise or it will enter the wood profoundly.