A Finite Element Model for Martensitic Thin Films
نویسنده
چکیده
A finite element approximation of the thin film limit for a sharp interface bulk energy for martensitic crystals is given. The energy density models the softening of the elastic modulus controlling the low-energy path from the cubic to the tetragonal lattice, the loss of stability of the tetragonal phase at high temperatures and the loss of stability of the cubic phase at low temperatures, and the effect of compositional fluctuation on the transformation temperature. The finite element approximation is then used to simulate the hysteresis of a martensitic thin film obtained after applying a biaxial loading cycle to the film below the transformation temperature.
منابع مشابه
Interfaces and Free Boundaries, 4 : 2002, 71-88 A TOTAL-VARIATION SURFACE ENERGY MODEL FOR THIN FILMS OF MARTENSITIC CRYSTALS
Martensitic thin films have applications in actuators, sensors, and micromachines because of their large work output/(cycle · volume) [22]. Single-crystal martensitic thin films have recently been grown in the laboratory [12] and theoretically offer even larger work output/(cycle · volume) [5]. Bhattacharya and James [5] have rigorously derived a thin film variational principle from the three-d...
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