Rubber compound and tire with component

A rubber composition comprised of, based upon parts by weight per 100 parts by weight of rubber (phr):

• (A) at least one diene-based elastomer comprised of at least one of polymers comprised of at least one of isoprene and 1,3-butadiene and of styrene with at least one of isoprene and 1,3-butadiene,
• (B) about 30 to about 120 phr of particulate reinforcing filler comprised of:
• (1) rubber reinforcing carbon black,
• (2) precipitated silica, or
• (3) a combination of precipitated silica and rubber reinforcing carbon black;
• (C) about 1 to about 10 phr of short fiber reinforcement comprised of at least one of polyaramid, polyamide, polyester and cellulose filaments, and
• (D) resin product of methylene donor compound and methylene acceptor compound, wherein said resin product is provided as:
• (1) a reaction product of the methylene donor and methylene acceptor in situ within the rubber composition, wherein said methylene acceptor is an epoxidized phenol formaldehyde polymer, or
• (2) reaction product of
• (a) a first pre-formed initial resin product of methylene donor and methylene acceptor with a molar deficiency of the methylene donor, prior to addition to said rubber composition, and
• (b) methylene donor in situ within the rubber composition;
• wherein the methylene acceptor for said first pre-formed initial resin is comprised of at least one of epoxidized phenol formaldehyde resin, epoxidized novolac resin, and epoxidized cashew nut shell oil, or
• (3) a second pre-formed initial resin product of a methylene donor and methylene acceptor modified with epichlorohydrin to form an epoxidized initial resin followed by crosslinking said pre-formed initial resin with a methylene donor in situ within the rubber composition,
• wherein the methylene acceptor for said second pre-formed initial resin is comprised of at least one of phenol formaldehyde resin, novolac resin, resorcinol, phenol, alklated phenol, cresol and cashew nut shell oil,
• wherein said methylene donor is comprised of at least one of hexamethylenetetramine, hexamethoxymethylmelamine, lauryloxymethylpyridinium chloride, ethyloxymethylpyridinium chloride and trioxanhexamethylolmelamine.