Year: 2024
Type: article
Abstract: This investigation presents a mechanical model to determine energetically favourable particle shapes, motivated by precipitation hardening in ferroelectric materials. We examine Li-doped $$\text {NaNbO}_3$$ NaNbO 3 and propose a system of equations to derive the correct material constants for this material system. To model the elongated precipitate shape we introduce two approaches: An elliptic shape and a shape based on cubic B-spline-curves. We subject both definitions to an optimisation routine that yields equilibrium shapes. We further use the spline approach to derive configurational forces on the interface.
Source: Computational Mechanics
Authors: Matthias Bohnen, Ralf Müller, Dietmar Gross
Institution: Technische Universität Darmstadt
Language: English
Subfield: Materials Chemistry
Field: Materials Science
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,790
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4404082522