Investigation of Generalized SIFs of cracks in 3D piezoelectric media under various crack-face conditions

[1]  Tran Quoc Thai,et al.  A large deformation isogeometric approach for flexoelectricity and soft materials , 2018, Computer Methods in Applied Mechanics and Engineering.

[2]  B. H. Nguyen,et al.  Dynamic flexoelectric effect on piezoelectric nanostructures , 2018, European Journal of Mechanics - A/Solids.

[3]  J. Sládek,et al.  Effects of electric field and strain gradients on cracks in piezoelectric solids , 2018, European Journal of Mechanics - A/Solids.

[4]  Naif Alajlan,et al.  Sensitivity and uncertainty analysis for flexoelectric nanostructures , 2018, Computer Methods in Applied Mechanics and Engineering.

[5]  Timon Rabczuk,et al.  A multi-material level set-based topology optimization of flexoelectric composites , 2018, 1901.10752.

[6]  R. Mishra.  A Review On Fracture Mechanics In Piezoelectric Structures , 2018 .

[7]  Chuanzeng Zhang,et al.  A simplified evaluation of the mechanical energy release rate of kinked cracks in piezoelectric materials using the boundary element method , 2017 .

[8]  Chuanzeng Zhang,et al.  An interaction integral and a modified crack closure integral for evaluating piezoelectric crack-tip fracture parameters in BEM , 2017 .

[9]  P. Staňák,et al.  Fracture mechanics analysis of size-dependent piezoelectric solids , 2017 .

[10]  Timon Rabczuk,et al.  A level-set based IGA formulation for topology optimization of flexoelectric materials , 2017 .

[11]  A. Leung,et al.  The finite element discretized symplectic method for direct computation of SIF of piezoelectric materials , 2016 .

[12]  Timon Rabczuk,et al.  Detection of material interfaces using a regularized level set method in piezoelectric structures , 2016 .

[13]  F. García-Sánchez,et al.  BEM analysis of electrically limited permeable cracks considering Coulomb tractions in piezoelectric materials , 2015 .

[14]  J. Rungamornrat,et al.  Analysis of cracks in 3D piezoelectric media with various electrical boundary conditions , 2015, International Journal of Fracture.

[15]  T. Q. Bui,et al.  Comparison of several BEM-based approaches in evaluating crack-tip field intensity factors in piezoelectric materials , 2014, International Journal of Fracture.

[16]  M. Kuna,et al.  Coulomb traction on a penny-shaped crack in a three dimensional piezoelectric body , 2011 .

[17]  C. Chintanapakdee,et al.  Modeling of cracks in 3D piezoelectric finite media by weakly singular SGBEM , 2011 .

[18]  M. Kuna.  Fracture mechanics of piezoelectric materials – Where are we right now? , 2010 .

[19]  J. Domínguez,et al.  Analysis of cracked piezoelectric solids by a mixed three-dimensional BE approach , 2009 .

[20]  L. Banks‐Sills,et al.  M-Integral for Calculating Intensity Factors of Cracked Piezoelectric Materials Using the Exact Boundary Conditions , 2009 .

[21]  J. Rungamornrat,et al.  Analysis of fractures in 3D piezoelectric media by a weakly singular integral equation method , 2008 .

[22]  Y. Chen,et al.  Why traction-free? Piezoelectric crack and Coulombic traction , 2008 .

[23]  G. Weng,et al.  Nonlinear Behavior and Critical State of a Penny-Shaped Dielectric Crack in a Piezoelectric Solid , 2007 .

[24]  Z. Ou,et al.  Re-examination of the PKHS crack model in piezoelectric materials , 2007 .

[25]  Nao-Aki Noda,et al.  Finite-part integral and boundary element method to solve three-dimensional crack problems in piezoelectric materials , 2007 .

[26]  M. Kuna,et al.  Crack analyses in three-dimensional piezoelectric structures by the BEM , 2007 .

[27]  M. Denda,et al.  Upper and lower bounds analysis of electric induction intensity factors for multiple piezoelectric cracks by the BEM , 2005 .

[28]  J. Domínguez,et al.  Three-dimensional BEM for piezoelectric fracture analysis , 2005 .

[29]  Meinhard Kuna,et al.  Efficient boundary element analysis of cracks in 2D piezoelectric structures , 2005 .

[30]  W. Q. Chen,et al.  3D point force solution for a permeable penny-shaped crack embedded in an infinite transversely isotropic piezoelectric medium , 2005 .

[31]  Xian‐Fang Li,et al.  Three-Dimensional Electroelastic Analysis of a Piezoelectric Material With a Penny-Shaped Dielectric Crack , 2004 .

[32]  Chad M. Landis,et al.  Energetically consistent boundary conditions for electromechanical fracture , 2004 .

[33]  Xiaodong Wang,et al.  The nonlinear fracture behavior of an arbitrarily oriented dielectric crack in piezoelectric materials , 2004 .

[34]  N. Noda,et al.  Application of Hypersingular Integral Equation Method to a Three-Dimensional Crack in Piezoelectric Materials , 2004 .

[35]  Meng-Cheng Chen.  Application of finite-part integrals to three-dimensional fracture problems for piezoelectric media Part II: Numerical analysis , 2003 .

[36]  Meng-Cheng Chen.  Application of finite-part integrals to three-dimensional fracture problems for piezoelectric media Part I: Hypersingular integral equation and theoretical analysis , 2003 .

[37]  Y. Mai,et al.  On the electrical boundary conditions on the crack surfaces in piezoelectric ceramics , 2003 .

[38]  Z. Kuang,et al.  A mixed electric boundary value problem for a two-dimensional piezoelectric crack , 2003 .

[39]  X. D. Wang,et al.  Fracture behaviour of cracks in piezoelectric media with electromechanically coupled boundary conditions , 2002, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[40]  Tian-hu Hao,et al.  Multiple collinear cracks in a piezoelectric material , 2001 .

[41]  H. Ding,et al.  Point forces and point charge applied to a circular crack in a transversely isotropic piezoelectric space , 2001 .

[42]  R. Rajapakse,et al.  On a plane crack in piezoelectric solids , 2001 .

[43]  R. Rajapakse,et al.  Boundary element modeling of cracks in piezoelectric solids , 2001 .

[44]  A. Milazzo,et al.  Multidomain boundary integral formulation for piezoelectric materials fracture mechanics , 2001 .

[45]  W. Q. Chen,et al.  A penny-shaped crack in piezoelectrics: resolved , 2000 .

[46]  R. Rajapakse,et al.  A theoretical study of branched cracks in piezoelectrics , 2000 .

[47]  W. Q. Chen,et al.  Complete and exact solutions of a penny-shaped crack in a piezoelectric solid : antisymmetric shear loadings , 2000 .

[48]  Tadashi Shioya,et al.  Fundamental solution for a penny-shaped crack in apiezoelectric medium , 1999 .

[49]  E. Pan.  A BEM analysis of fracture mechanics in 2D anisotropic piezoelectric solids , 1999 .

[50]  S. Li,et al.  Symmetric weak-form integral equation method for three-dimensional fracture analysis , 1998 .

[51]  F. Rizzo,et al.  HYPERSINGULAR INTEGRALS: HOW SMOOTH MUST THE DENSITY BE? , 1996 .

[52]  Hao Tian-hu,et al.  A new electric boundary condition of electric fracture mechanics and its applications , 1994 .

[53]  S. B. Park,et al.  Effect of electric field on fracture of piezoelectric ceramics , 1993 .

[54]  W. Deeg,et al.  The analysis of dislocation, crack, and inclusion problems in piezoelectric solids , 1980 .

[55]  Vladimir Z. Parton,et al.  Fracture mechanics of piezoelectric materials , 1976 .