Coordinate‐invariant phase field modeling of ferro‐electrics, part I: Model formulation and single‐crystal simulations

DOI10.1002/gamm.201510005zbMath1525.74062OpenAlexW1917587462MaRDI QIDQ6078514

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Publication date: 24 October 2023

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201510005

zbMATH Keywords

grain boundariesphase fieldferroelectric hysteresisinvariant formulation

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) Composite media; random media in optics and electromagnetic theory (78A48) Crystals in solids (74N05)

Related Items (6)

Rate-Independent Systems and Their Viscous Regularizations: Analysis, Simulation, and Optimal Control ⋮ Optimal Control of a Rate-Independent System Constrained to Parametrized Balanced Viscosity Solutions ⋮ Computation of non‐linear magneto‐electric product properties of 0–3 composites ⋮ Coordinate‐invariant phase field modeling of ferro‐electrics, part II: Application to composites and poly‐crystals ⋮ Convergence analysis of time-discretisation schemes for rate-independent systems ⋮ On the local in time well-posedness of an elliptic-parabolic ferroelectric phase-field model

Cites Work

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• Variational-based modeling of micro-electro-elasticity with electric field-driven and stress-driven domain evolutions
• Electrostatic Forces and Stored Energy for Deformable Dielectric Materials
• Nonlinear Theory of Electroelastic and Magnetoelastic Interactions
• Coordinate‐invariant phase field modeling of ferro‐electrics, part II: Application to composites and poly‐crystals

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