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An Anisotropic Phase‐Field Approach to Fracture in Coupled Electro‐Mechanics
Author(s) -
Sridhar Ashish,
Keip MarcAndré
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800392
Subject(s) - dissipative system , piezoelectricity , reliability (semiconductor) , fracture (geology) , field (mathematics) , fracture mechanics , anisotropy , materials science , phase (matter) , mechanics , computer science , structural engineering , physics , engineering , mathematics , composite material , power (physics) , quantum mechanics , pure mathematics
Structural reliability analysis of piezoelectric ceramics needs the modeling of failure under coupled electro‐mechanical actions. Based on experimental results available in the literature, we suggest a non‐associative dissipative framework where the fracture phase field is driven by the mechanical part of the coupled electro‐mechanical driving force. Proposed degradation functions account for different electrical crack boundary conditions. The modeling capability of the framework is demonstrated by means of representative numerical examples.