Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions
We present a family of phase-field models for fracture in piezoelectric and ferroelectric materials. These models couple a variational formulation of brittle fracture with, respectively, (1) the linear theory of piezoelectricity, and (2) a Ginzburg–Landau model of the ferroelectric microstructure to...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/79338 |
| Acceso en línea: | https://hdl.handle.net/2117/79338 https://dx.doi.org/10.1016/j.jmps.2012.06.014 |
| Access Level: | acceso abierto |
| Palabra clave: | Piezoelectric materials Crack-face boundary conditions Ferroelectricity Fracture Phase-field models Piezoelectricity Piezoelectricitat -- Materials Àrees temàtiques de la UPC::Enginyeria dels materials::Materials funcionals::Materials elèctrics i electrònics |
| Sumario: | We present a family of phase-field models for fracture in piezoelectric and ferroelectric materials. These models couple a variational formulation of brittle fracture with, respectively, (1) the linear theory of piezoelectricity, and (2) a Ginzburg–Landau model of the ferroelectric microstructure to address the full complexity of the fracture phenomenon in these materials. In these models, both the cracks and the ferroelectric domain walls are represented in a diffuse way by phase-fields. The main challenge addressed here is encoding various electromechanical crack models (introduced as crack-face boundary conditions in sharp models) into the phase-field framework. The proposed models are verified through comparisons with the corresponding sharp-crack models. We also perform two dimensional finite element simulations to demonstrate the effect of the different crack-face conditions, the electromechanical loading and the media filling the crack gap on the crack propagation and the microstructure evolution. Salient features of the results are compared with experiments. |
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