A composite construction incorporating one or more mat layers of interwoven axially drawn heat fusible tape fiber elements. The axially drawn tape fiber elements incorporate a central or base layer of a strain oriented polymer with a covering layer of a heat fusible polymer. The covering layer of the tape fiber elements is characterized by a softening point below that of the base layer to permit bonding fusion upon application of heat. An arrangement of embedded non-olefin fiber elements extends in anchored relation at least partially across the thickness dimension of the mat structure. The composite is adapted for bonding to a substrate layer. An optional covering layer may be utilized.