Phase-field modeling of the coupled microstructure and fracture evolution in ferroelectric single crystals

Acta Materialia

Volumn 59, Issue 12, 2011, Pages 4733-4746

  Abdollahi, Amir ^a   Arias, Irene ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

Ferroelectricity; Finite element analysis; Fracture; Phase field models; Twinning

Indexed keywords

COUPLED SIMULATION; CRACK CONFIGURATION; CRACK TIP FIELDS; DOMAIN SWITCHINGS; ELECTROMECHANICAL LOADING; FERROELECTRIC DOMAINS; FERROELECTRIC SINGLE CRYSTALS; FINITE-ELEMENT; IMPERMEABLE CRACKS; MICROSTRUCTURE FORMATION; PHASE-FIELD APPROACHES; PHASE-FIELD MODELING; PHASE-FIELD MODELS; PLANE-STRAIN; PROPAGATION CALCULATION; TEST SAMPLES; TWO-DIMENSION;

BRITTLE FRACTURE; COMPUTER SIMULATION; CRACK PROPAGATION; CRACKS; CRYSTAL MICROSTRUCTURE; DIFFRACTIVE OPTICS; FERROELECTRIC MATERIALS; FERROELECTRICITY; FINITE ELEMENT METHOD; GRAIN BOUNDARIES; TWINNING;

SINGLE CRYSTALS;

EID: 79958088861     PISSN: 13596454     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.actamat.2011.03.030     Document Type: Article

References (56)

1. T.Y. Zhang, and C.F. Gao Theor Appl Fract Mech 41 2004 339
2. G.A. Schneider Annu Rev Mater Res 37 2007 491
3. M. Kuna Eng Fract Mech 77 2010 309
4. X.L. Han, X.J. Li, and S.X. Mao Metall Mater Trans A 33 2002 2835
5. R.K.N.D. Rajapakse, and X. Zeng Acta Mater 49 2001 877
6. H.G. Beom, and S.N. Atluri J Mech Phys Solids 51 2003 1107
7. J.S. Sheng, and C.M. Landis Int J Fract 143 2007 161
8. S. Hackemann, and W. Pfeiffer J Eur Ceram Soc 23 2003 141
9. R.M. McMeeking, and C.M. Landis Int J Eng Sci 40 2002 1553
10. J.X. Wang, and C.M. Landis J Mech Mater Struct 1 2006 1075
11. S.C. Hwang, C.S. Lynch, and R.M. McMeeking Acta Mater 43 1995 2073
12. T. Zhu, and W. Yang Acta Mater 45 1997 4695
13. W. Yang, and T. Zhu J Mech Phys Solids 46 1998 291
14. T. Zhu, and W. Yang J Mech Phys Solids 47 1999 81
15. W. Zhang, and K. Bhattacharya Acta Mater 53 2005 185
16. D. Schrade, R. Mueller, B. Xu, and D. Gross Comput Methods Appl Mech Eng 196 2007 4365
17. B.X. Xu, D. Schrade, R. Mueller, and D. Gross Comput Mater Sci 45 2009 832
18. Y. Su, and C.M. Landis J Mech Phys Solids 55 2007 280
19. K. Dayal, and K. Bhattacharya Acta Mater 55 2007 1907
20. A. DeSimone J Intell Mater Syst Struct 5 1994 787
21. A. DeSimone Z Angew Math Mech 76 1996 397
22. J. Wang, and T.Y. Zhang Acta Mater 55 2007 2465
23. Y.C. Song, A.K. Soh, and Y. Ni J Phys D: Appl Phys 40 2007 1175
24. I. Arias, S. Serebrinsky, and M. Ortiz Acta Mater 54 2006 975
25. H.J. Gao, T.Y. Zhang, and P. Tong J Mech Phys Solids 45 1997 491
26. G.A. Francfort, and J.J. Marigo J Mech Phys Solids 46 1998 1319
27. B. Bourdin, G.A. Francfort, and J.J. Marigo J Mech Phys Solids 48 2000 797
28. B. Bourdin Interfaces Free Bound 9 2007 411
29. B. Bourdin, G.A. Francfort, and J.J. Marigo J Elast 91 2008 5
30. H. Amor, J.J. Marigo, and C. Maurini J Mech Phys Solids 57 2009 1209
31. X.P. Xu, and A. Needleman J Mech Phys Solids 42 1994 1397
32. G.T. Camacho, and M. Ortiz Int J Solids Struct 33 1996 2899
33. N. Moes, J. Dolbow, and T. Belytschko Int J Numer Methods Eng 46 1999 131
34. J. Oliver, A.E. Huespe, M.D.G. Pulido, and E. Chaves Eng Fract Mech 69 2002 113
35. J.Y. Li Mech Mater 41 2009 1125
36. A.F. Devonshire Philos Mag 40 1949 1040
37. A.F. Devonshire Philos Mag 42 1951 1065
38. Y.L. Li, L.E. Cross, and L.Q. Chen J Appl Phys 98 2005 064101
39. Y.L. Wang, A.K. Tagantsev, D. Damjanovic, N. Setter, V.K. Yarmarkin, and A.I. Sokolov J Appl Phys 101 2007 104115
40. A.A. Griffith Philos Trans Royal Soc London Series A-221 1921 163
41. Abdollahi A, Arias I, in preparation.
42. V.Z. Parton Acta Astronaut 3 1976 671
43. O.G. Vendik, and S.P. Zubko J Appl Phys 88 2000 5343
44. Deeg WFJ. PhD thesis, Stanford University; 1980.
45. F. Meschke, O. Raddatz, A. Kolleck, and G.A. Schneider J Am Ceram Soc 83 2000 353
46. S. Stemmer, S.K. Streiffer, F. Ernst, and M. Ruhle Philos Mag A 71 1995 713
47. N. Floquet, C.M. Valot, M.T. Mesnier, J.C. Niepce, L. Normand, and A. Thorel J Phys III 7 1997 1105
48. P. Dadvand, R. Rossi, and E. Onate Arch Comput Methods Eng 17 2010 253
49. D.N. Fang, Y.J. Jiang, S. Li, and C.T. Sun Acta Mater 55 2007 5758
50. F. Meschke, A. Kolleck, and G.A. Schneider J Eur Ceram Soc 17 1997 1143
51. A. Ricoeur, and M. Kuna J Eur Ceram Soc 23 2003 1313
52. C.T. Sun, and S.B. Park Ferroelectrics 248 2000 79
53. W.Y. Li, R.M. McMeeking, and C.M. Landis Eur J Mech A - Solids 27 2008 285
54. R.M. McMeeking Eng Fract Mech 64 1999 217
55. A.G. Tobin, and Y.E. Pak Proc SPIE, Smart Struct Mater 1916 1993 78
56. G.A. Schneider, and V. Heyer J Eur Ceram Soc 19 1999 1299