TY - GEN A1 - Nadgir, Omkar A1 - Dornisch, Wolfgang A1 - Müller, Ralf A1 - Keip, Marc-André T1 - A phase-field model for transversely isotropic ferroelectrics T2 - Archive of Applied Mechanics N2 - We propose an electro-mechanically coupled phase-field model for ferroelectric materials that show cubic–tetragonal phase transition. The cubic phase is idealized by an isotropic formulation, and the tetragonal phase is idealized by a transversely isotropic formulation. We consider a classical phase-field model with Ginzburg–Landau-type evolution of the order parameter. The order parameter drives the transition of all involved moduli tensors such as elastic, dielectric and piezoelectric moduli, which in turn maintain their typical features and stability as a result of a selected phase-transition function. The model is described in coordinate-invariant form and implemented into a finite element framework with implicit time integration of the evolution equation. Representative numerical examples in two and three dimensions demonstrate the main features of the constitutive model and the numerical stability of the formulation. KW - Phase-field modeling KW - Ferroelectrics KW - Ginzburg–Landau equation KW - Transverse isotropy KW - Numerical simulations Y1 - 2019 U6 - https://doi.org/10.1007/s00419-019-01543-y SN - 0939-1533 SN - 1432-0681 VL - 89 IS - 6 SP - 1057 EP - 1068 ER -