Oscarhe

Why not try foam floor underlay? They are cheap and more portable than the heavy rubber mat. The foam underlay can both protect your flooring and provide comfort and shock absorption.

Anyway, some people use the EVA foam to make the cosplay armor just like in the pictures. You can check it out on Youtube.

If you still look for the EVA foam material which is closed cell foam and is economical on price compared with other foam materials. I have been dealing with one Chinese supplier for EVA foam sheet and you could find them at their web http://www.foamtechchina.com/foam-materials/eva-foam-sheets/. Hope this can help.

Oh, That is the EVA foam mats you used as tool drawer liner. But they are better material like vinyl for drawer liners like from online

Foam material would be the best choice for that like Neoprene foam, PU foam or SBR foam. These foam materials are usually working with fabric or leather.