Ferroelastic materials can develop complex domain structures, which have properties of glassy systems (non-ergodicity, glass dynamics, glass transitions, and freezing). Four characteristic temperatures are defined for such domain glasses: the dynamical nucleation temperature T d where local correlated clusters can form glass states within a (tweed-) nano structure, T o the Vogel-Fulcher temperature of these precursor nanostructures, T pt the phase transition temperature where the (ferroelastic) transition occurs, and T K the Kauzmann temperature where the complex domain structure freezes. T d exists in most ferroelastic materials whereas the other transitions depend on the complexity of the domain patterns and hence on their thermal history. Shear collapse and rapid thermal quench of ferroelastic crystals preferentially lead to domain glasses whereas slow anneal produces mostly highly correlated pattern such as stripe patterns or single domain crystals. Domain glasses are compared with structural glasses and several examples for domain glass features are discussed.