Nonuniform ferroelastic domain switching driven by two-parameter crack tip stress field

This paper addresses a nonuniform ferroelastic domain switching model driven by two-parameter crack tip stress field. The model is applied to analyze the effect of transverse stress (T-stress) on switching zone geometry and switch induced toughening. It is concluded that: (1) The sign and magnitude of T-stress influence switching zone size but not its shape. (2) Tensile T-stress decreases switch toughening, while compressive T-stress increases it. As an example, the analytical result of switch toughening is used to interpret the test dependency of R-curve. Predictions are in agreement with experimental results of two types of tests of ferroelectrics.

[1]  I. Chen Model of Transformation Toughening in Brittle Materials , 1991 .

[2]  John W. Hutchinson,et al.  Continuum theory of dilatant transformation toughening in ceramics , 1983 .

[3]  Weiyou Yang,et al.  Effect of transverse stress on switch-toughening of ferroelectrics , 2003 .

[4]  Norman A. Fleck,et al.  Crack path selection in a brittle adhesive layer , 1991 .

[5]  Z. Zhong,et al.  A novel criterion for nonuniform domain switching of tetragonal ferroelectrics , 2012 .

[6]  Theo Fett,et al.  Influence of domain switching state on R-curves interpreted by using X-ray diffraction study , 2001 .

[7]  J. Rice,et al.  Limitations to the small scale yielding approximation for crack tip plasticity , 1974 .

[8]  F. Fang,et al.  Critical role of domain switching on the fracture toughness of poled ferroelectrics , 2001 .

[9]  Fritz Aldinger,et al.  R-curve effect, influence of electric field and process zone in BaTiO3 ceramics , 2002 .

[10]  J. Wang,et al.  5474 - ON THE FRACTURE TOUGHNESS OF FERROELECTRIC CERAMICS WITH ELECTRIC FIELD APPLIED PARALLEL TO THE CRACK FRONT , 2004 .

[11]  Patrick M. Kelly,et al.  Transformation Toughening in Zirconia‐Containing Ceramics , 2004 .

[12]  James S. Vartuli,et al.  Effect of a Transverse Tensile Stress on the Electric‐Field‐Induced Domain Reorientation in Soft PZT: In Situ XRD Study , 2004 .

[13]  F. Fang,et al.  Crack tip 90° domain switching in tetragonal lanthanum-modified lead zirconate titanate under an electric field , 1999 .

[14]  W. Pfeiffer,et al.  Domain switching in process zones of PZT: characterization by microdiffraction and fracture mechanical methods , 2003 .

[15]  A. J. Carlsson,et al.  Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials , 1973 .

[16]  J. Lambropoulos Shear, shape and orientation effects in transformation toughening , 1986 .

[17]  J. Hancock,et al.  The effect of non-singular stresses on crack-tip constraint , 1991 .

[18]  Anthony G. Evans,et al.  Nonlinear Deformation of Ferroelectric Ceramics , 1993 .

[19]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[20]  A. Mortensen,et al.  Investigation of crack-tip plasticity in high volume fraction particulate metal matrix composites , 2004 .

[21]  Robert O. Ritchie,et al.  Crack‐Tip Transformation Zones in Toughened Zirconia , 1990 .

[22]  K. Härdtl,et al.  Ferroelastic Properties of Lead Zirconate Titanate Ceramics , 2005 .

[23]  Wei Yang,et al.  Switch-toughening of ferroelectrics subjected to electric fields , 1998 .

[24]  Wei Yang,et al.  Composite Eshelby model and domain band geometries of ferroelectric ceramics , 2001 .

[25]  Viggo Tvergaard,et al.  Effect of T-Stress on mode I crack growth resistance in a ductile solid , 1994 .

[26]  D. Munz,et al.  Young's Modulus of Soft PZT from Partial Unloading Tests , 2002 .

[27]  J. Hancock,et al.  Two-Parameter Characterization of Elastic-Plastic Crack-Tip Fields , 1991 .

[28]  E. Giessen,et al.  Crack growth in non-homogeneous transformable ceramics. Part I: Constrained straight cracks , 1996 .

[29]  Viggo Tvergaard,et al.  Effect of T-stress on crack growth under mixed mode I–III loading , 2008 .

[30]  Huajian Gao Application of 3-D weight functions—I. Formulations of crack interactions with transformation strains and dislocations , 1989 .

[31]  Wei Yang,et al.  Toughening under non-uniform ferro-elastic domain switching , 2006 .

[32]  Anthony G. Evans,et al.  Mechanics of Transformation‐Toughening in Brittle Materials , 1982 .

[33]  S. Samavedam,et al.  Pulsed laser-ablation deposition of thin films of molybdenum silicide and its properties as a conducting barrier for ferroelectric random-access memory technology , 1999 .

[34]  Theo Fett,et al.  On the interpretation of different R-curves for soft PZT , 2001 .