A phase-field model for anisotropic brittle fracturing of piezoelectric ceramics

Piezoelectric ceramics are inherently brittle materials that show electromechanical coupling under electrical and mechanical stimuli. In the last decades piezoelectric materials have garnered significant attention due to their established applications as sensors and actuators. In this context the st...

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Bibliographic Details
Published in:International journal of fracture 2019-12, Vol.220 (2), p.221-242
Main Authors: Sridhar, A., Keip, M.-A.
Format: Article
Language:English
Subjects:
Actuators
Anisotropy
Automotive Engineering
Boundary conditions
Brittle materials
Characterization and Evaluation of Materials
Chemistry and Materials Science
Civil Engineering
Classical Mechanics
Computational Mechanics
Crack propagation
Fracture mechanics
Fracturing
Materials Science
Mathematical analysis
Mechanical Engineering
Piezoelectric ceramics
Piezoelectricity
Reliability aspects
Reliability engineering
Structural reliability
Tensors
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Summary:Piezoelectric ceramics are inherently brittle materials that show electromechanical coupling under electrical and mechanical stimuli. In the last decades piezoelectric materials have garnered significant attention due to their established applications as sensors and actuators. In this context the structural reliability of such materials under varied conditions is paramount. In the present work we propose a phase-field approach to model crack propagation in a coupled electromechanical setting. The proposed framework accounts for anisotropic crack propagation by employing appropriate structural tensors that enter the crack-surface-density function as additional arguments. Appropriate choices of degradation functions allow for the accommodation of varied electrical boundary conditions along cracks. Based on experimental results available in the literature, we employ a non-associative dissipative framework in which fracturing processes are driven by the mechanical part of the coupled electromechanical driving force alone. The modeling capabilities of the proposed framework are demonstrated by a set of numerical examples in two and three spatial dimensions.
ISSN:0376-9429
1573-2673
DOI:10.1007/s10704-019-00391-9