Some new classes of harmonic convex functions will be introduced and investigated. These new classes of harmonic convex functions are harmonic nonconvex functions. Some integral inequalities such as Hermite-Hadamard, Trapezoidal, Simpson and Newton type will be derived for these new classes of harmonic convex functions and their variant forms. Inequalities for coordinated harmonic convex functions via harmonic nonconvex functions will be derived. Some special cases, which can be obtained from the main results will be discussed.