An elastic laminate material comprising a thermoplastic elastic material and a first non-bonded staple fiber web layer has received a patent. The non-bonded staple fiber web layer is bonded to a thermoplastic elastic material. The thermoplastic elastic material comprises elastic polyolefin or a blend of elastic polyolefin and styrenic block copolymer. The thermoplastic elastic material comprises a multilayer film with first and external skin layers, each in an amount of about 3-20 weight percent of the multi-layer film. The first and second external skin layers feature a bonding agent and an interior layer of an elastic polymer in an amount of from about 60-64 weight percent to about 94 weight percent of the multilayer film.