Energetically consistent boundary conditions for electromechanical fracture
By Chad M. Landis. 2004
198 citations recorded by the source corpus.
Energetically consistent crack face boundary conditions are formulated for cracks in electromechanical materials. The model assumes that the energy of the solid can be computed from standard infinitesimal deformation theory and that the opening of the crack faces creates a capacitive gap that can store electrical energy. The general derivation of the crack face boundary conditions is carried out for non-linear but reversible constitutive behavior of both the solid material and the space filling the gap. It is shown that a simple augmentation of the J-integral can be used to determine the energy release rate for crack advance with these boundary conditions. The energetically consistent boundary conditions are then applied to the Griffith crack problem in a polar linear piezoelectric solid and used to demonstrate that the energy release rate computed near the crack tip is equivalent to the total energy release rate for the solid-gap system as computed from global energy changes. A non-linear constitutive law is postulated for the crack gap as a model for electrical discharge and the effects of the breakdown field on the energy release rate are ascertained.
Subfields: General Health Professions, Philosophy
View Paper: https://www.semanticscholar.org/paper/0b8162d615621ab2fc07fbf5d9261824e2ee25f4
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In General Health Professions
In Philosophy
Citations in the corpus
- New finite elements with embedded strong discontinuities for the modeling of failure in electromechanical coupled solids (2011, background): “To resolve that problem, Landis [31] proposed the so called energetically consistent boundary conditions by adding additional closing traction on the crack faces.”
- Phase-field modeling of crack propagation in piezoelectric and ferroelectric materials with different electromechanical crack conditions (2012, methodology): “The Energetically Consistent (EC) crack model was proposed to overcome the inconsistency of the semi-permeable boundary conditions by considering not only the electric charge inside the crack gap, but also the corresponding induced closing traction on the crack faces (Landis, 2004a).”