  The purpose of this paper is to provide new constructions of Hom-associative
algebras using Hom-analogues of certain operators called twistors and
pseudotwistors, by deforming a given Hom-associative multiplication into a new
Hom-associative multiplication. As examples, we introduce Hom-analogues of the
twisted tensor product and smash product. Furthermore we show that the
construction by the ''twisting principle'' introduced by Yau and the twisting
of associative algebras using pseudotwistors admit a common generalization
