Deformation of adaptive materials. Part I. Constrained deformation of polydomain crystals

Thermodynamics of volume-collapse transitions in cerium and related compounds

“…The model reproduces the anomalous thermodynamics found in other approaches [6,7,8,9,10,11,12,13,14,15,16]. In particular, the transition is intrinsically irreversible with a discontinuity of the thermodynamic potential.…”

“…For an experiment in which the pressure acts as the control variable usual nucleation is forbidden within a finite pressure window. This pressure window implies an intrinsic hysteresis loop as pointed out by Roytburd [8,9,14,15,17] and discussed also in metal-hydrogen systems [9,12]. Outside the pressure window the transition can occur, but only irreversibly with an intrinsic jump of the thermodynamic potential.…”

“…In a coherent structural phase transition the strain tensor must fulfill the St. Venant compatibility constraints ∇×(∇×ǫ) † = 0 [8,9,13,14,15,17,19,20,21,22]. This leads to constrains between the shear strains and the OP.…”

“…The thermodynamics of coherent structural transitions have been shown to be highly anomalous [6,7,8,9,10,11,12,13,14,15,16]. In the mixed phase the system behaves non extensively and violates usual stability criteria for extensive systems [7,14,15].…”

“…In the mixed phase the system behaves non extensively and violates usual stability criteria for extensive systems [7,14,15]. In particular, it possesses negative compressibility [14,15].…”