Abstract: A low stress relaxation elastomeric material comprises a block copolymer having an elasotmeric soft block portion and thermoplastic hard block portions, at least one vinylarene resin and mineral oil. The elasotmeric material may be used in a film comprising an elastomeric layer and at least one substantially less elastomeric skin layer. The skin layer comprises a thermoplastic polymer such as polyolefins. The film exhibits desired elastic and stress relaxation properties at body temperature. The film is useful in forming a macroscopically-expanded, three-dimensional elastomeric web.