Nichrome wire is commonly used as a resistance heater for cutting foam (Styrofoam, polyurethane, etc.) fabrics, and a variety of other materials.

Nichrome-60 wire (NiCr60 Type Alloy 675 Nickel Chrome Alloy)
Nickel: 55-61%, Chromium: 15-18%,  Iron: Balance

We produce wire from gauge 50 to gauge 1. Nichrome-60 wire sold by the weight (packaged in a plastic spool). It might require some experimentation to determine the best gauge to use for your material, and what the correct tension and temperature is.