Recent experiments have revealed a rich variety of strain states in doped ferroelastic systems. We study the origin of two abnormal strain states; precursory tweed and strain glass, and their relationship with the well-known austenite and martensite (the para-and ferroelastic states). A Landau free energy model is proposed, which assumes that point defects alter the global thermodynamic stability of martensite and create local lattice distortions that interact with the strain order parameters and break the symmetry of the Landau potential. Phase field simulations based on the model have predicted all the important signatures of a strain glass found in experiment. Moreover, the generic ''phase diagram'' constructed from the simulation results shows clearly the relationships among all the strain states, which agrees well with experimental measurements. DOI: 10.1103/PhysRevLett.105.205702 PACS numbers: 64.70.KÀ, 62.20.DÀ, 64.70.PÀ, 81.30.Kf Ferroelastic materials, are generally characterized by two distinct strain states, a strain-disordered paraelastic state (known as the parent phase or austenite) at high temperature and a long-range strain-ordered ferroelastic state (known as martensite) at low temperature. Point defects have been known to play a central role in altering and controlling the properties of ferroelastic materials [1]. In addition to the well-known paraelastic and ferroelastic strain states, it was found that point defects can generate two abnormal strain states: a ''precursory strain state'' (or tweed) characterized by a cross-hatched nanosized strain domain structure [2,3] imbedded in a dynamically disordered paraelastic matrix [4] and a new strain-glass state that is a frozen state of local strain order [5][6][7][8], a ferroelastic analogue to ferroelectric relaxors [9] and cluster spin glasses [10,11].Recent experimental studies have yielded strikingly similar ''phase diagrams'' of strain states for many different doped ferroelastic systems [12][13][14]. An example is given in Fig. 1(a) for a Fe-doped TiNi system [12]. It describes clearly the relationships among all the strain states in ferroelastic systems and shows the following generic features: (i) at a critical doping level x c there exists a rather abrupt crossover from a normal martensitic transition (MT) (x < x c ) to a strain-glass transition (SGT) (x > x c ); (ii) a precursory strain state appears below a temperature T nd , which is well above the M s (MT start temperature) or T g (SGT temperature); (iii) both M s and T g decrease with increasing defect content while T nd decreases at low defect content but increases at high defect content. This generic phase diagram could serve as an experimental validation of any theory proposed to explain the relationship among different strain states in ferroelastic systems.The nature of the precursory strain state (tweed) has been an interesting topic for decades, because it is neither a fully disordered strain state like an ideal austenite nor a fully ordered strain state like the poly-twinn...