That said, I do know that concrete mixed with latex produces a more flexible material with a higher structural damping loss factor. To exemplify, it can float on top of an elastic layer as is done for floating floors without cracking when mixed with latex.
The work of prof. Matthew R Hall is related to your question,
Najim, K. B., & Hall, M. R. (2012). Mechanical and dynamic properties of self-compacting crumb rubber modified concrete. Construction and building materials, 27(1), 521-530.
Najim, K. B., & Hall, M. R. (2010). A review of the fresh/hardened properties and applications for plain-(PRC) and self-compacting rubberised concrete (SCRC). Construction and Building Materials, 24(11), 2043-2051.
Additional papers are
Bignozzi, M. C., & Sandrolini, F. (2006). Tyre rubber waste recycling in self-compacting concrete. Cement and concrete research, 36(4), 735-739.