The best replacement for elastic is inelastic.

The best alternatives to elastic are rated as following:
★★★★★  inelastic
★★★  inelastic demand
★★★  inelastic collisions
★★  plastic deformation
★★  plastic
★  inelastic collision
★  price inelastic
★  inelastic products
★  necessary and proper clause
★  unit elastic
★  perfectly elastic
  viscoelastic
  muscular arteries
  plastic section modulus
  memory foam
  liquid
  rubber band
  acoustic
  viscous
  braided elastic
  perfectly inelastic
  relatively price inelastic

Your alternative for elastic is not listed? Suggest!
Speaking about elastic, one probably shouldn't forget about drawstring.

Other search terms related to elastic and their ratings are:
★★★★★ drawstring
★★★ velcro
★★★ clips
★ casing
★ drawstring for sewing
lace trim
You have in mind a companion for elastic and it is not yet here? Propose!



Google Trends

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elastic
inelastic
inelastic demand