Electrostatic tractions at crack faces and their influence on the fracture mechanics of piezoelectrics

DOI10.1007/s10704-009-9321-zzbMath1308.74050OpenAlexW1980142259MaRDI QIDQ1039249

Andreas Ricoeur, Meinhard Kuna

Publication date: 27 November 2009

Published in: International Journal of Fracture (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10704-009-9321-z

zbMATH Keywords

fracture mechanicsGriffith crackpiezoelectric materialenergy release rateJ-integralcrack boundary conditions

Mathematics Subject Classification ID

Fracture and damage (74R99) Electromagnetic effects in solid mechanics (74F15)

Related Items (13)

An analytical model for a bridged crack in piezoelectric ceramics ⋮ Fracture analysis of a piezoelectric layer with a penny-shaped and energetically consistent crack ⋮ Extended semi-analytical investigations of crack growth resistance behavior in ferroelectric materials ⋮ Dynamic crack analysis in piezoelectric solids under time-harmonic loadings with a symmetric Galerkin boundary element method ⋮ On fracture testing of piezoelectric ceramics ⋮ A dielectric crack in a functionally graded piezoelectric layer ⋮ Some new aspects of boundary conditions at cracks in piezoelectrics ⋮ Electrostatic tractions at dielectric interfaces and their implication for crack boundary conditions ⋮ Dynamic crack analysis in piezoelectric solids with nonlinear electrical and mechanical boundary conditions by a time-domain BEM ⋮ Influence of inclined electric fields on the effective fracture toughness of piezoelectric ceramics ⋮ Effect of Maxwell stress on a moving crack with polarization saturation region in ferroelectric solid ⋮ BEM analysis of electrically limited permeable cracks considering Coulomb tractions in piezoelectric materials ⋮ An improved displacement boundary condition of piezoelectric cantilever beams

Cites Work

• Unnamed Item
• Conservation laws and the material momentum tensor for the elastic dielectric
• The elastic energy-momentum tensor
• Electrostrictive stresses near crack-like flaws
• Electrostatic tractions at dielectric interfaces and their implication for crack boundary conditions
• Calculation of the \(J\)-integral for limited permeable cracks in piezoelectrics
• Energetically consistent boundary conditions for electromechanical fracture
• Crack Extension Force in a Piezoelectric Material
• The electroelastic energy–momentum tensor
• Fracture mechanics of piezoelectric materials
• The force on an elastic singularity

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