A stabilized fabric composed of a mesh or a woven fabric is disclosed as are methods of their manufacture, the manufacture of medical devices made using a stabilized fibers and stabilized medical devices are all disclosed. Fabrics can be stabilized by several techniques including: using mechanical, chemical and/or energetic fasteners at warp and weft intersections in the weave; by using various weaving techniques and fibers. Meshes can be stabilized when properly dimensioned and arranged junctions and struts of the necessary properties are used. All of these stabilized fabrics can be made of synthetic polymer materials such as ultrahigh molecular weight PE or PP and expanded PTFE.