Torus destruction in a nonsmooth noninvertible map

► We consider a nonsmooth map which is noninvertible. ► We report a new route to chaos from a resonance loop torus which is not homeomorphic to a circle but only endomorphic to it. ► The destruction of the torus occurs through homoclinic bifurcation in the presence of an infinite number of nonsmooth loops. ► The stable sets can bifurcate to form nonsmooth closed loops. ► The bifurcation of the stable sets cannot be interpreted directly as bifurcation of the basin of attraction.