On Sullivan models for free loop spaces:
Micheline Vigué-Poirrier, Dennis Sullivan, The homology theory of the closed geodesic problem, J. Differential Geometry 11 (1976) 633-644.
Micheline Vigué-Poirrier, Dan Burghelea, A model for cyclic homology and algebraic K-theory of 1-connected topological spaces, J. Differential Geom. Volume 22, Number 2 (1985), 243-253 (Euclid)
More generally on rational models of mapping spaces:
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