Phase-field modeling of defect nucleation and propagation in domains with material inhomogeneities

Modelling and Simulation in Materials Science and Engineering

Volumn 21, Issue 2, 2013, Pages

  Lei, Lei ^a   Marin, Juan Luis ^a   Koslowski, Marisol ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DAMAGE EVOLUTION; DEFECT NUCLEATION; DISCRETE MODELS; DISLOCATION STRUCTURES; DISPLACEMENT DISCONTINUITY; DISPLACEMENT FIELD; HETEROGENEOUS MATERIALS; MATERIAL HETEROGENEITY; MATERIAL INHOMOGENEITIES; MESH REPRESENTATION; NICKEL SINGLE CRYSTAL; NUCLEATION AND EVOLUTIONS; PERIODIC ARRAYS; PHASE FIELDS; PHASE-FIELD APPROACHES; PHASE-FIELD MODELING; TOPOLOGICAL CHANGES; UNIFIED THEORY;

NUCLEATION; POLYMETHYL METHACRYLATES;

DEFECTS;

EID: 84874336275     PISSN: 09650393     EISSN: 1361651X     Source Type: Journal    
DOI: 10.1088/0965-0393/21/2/025009     Document Type: Article

References (52)

1. Khachaturyan A G 1983 Theory of Structural Transformation in Solids (New York: John Wiley and Sons)
2. Chen L Q and Khachaturyan A G 1991 Computer simulation of structural transformations during precipitation of an ordered intermetallic phase Acta Metall. Mater. 39 2533-51
3. Collins J and Levine H 1985 Diffuse interface model of diffusion-limited crystal growth Phys. Rev. B 31 6119-22
4. Chen L Q and Shen J 1998 Applications of semi-implicit fourier-spectral method to phase field equations Comput. Phys. Commun. 108 147-58 (Pubitemid 128392371)
5. Lei L, Carvajal T and Koslowski M 2012 Defect-induced solid state amorphization of molecular crystals J. Appl. Phys. 111 073505-073505
6. Karma A, Kessler D and Levine H 2001 Phase-field model of mode III dynamic fracture Phys. Rev. Lett. 87 045501
7. Koslowski M, Cuitiño A and Ortiz M 2002 A phase-field theory of dislocations dynamics, strain hardening and hysteresis in ductile single crystals J. Mech. Phys. Solids 50 2597-2635 (Pubitemid 35152374)
8. Wang Y U, Jin Y M, Cuitiño A M and Khachaturyan A G 2001 Phase field microelasticity theory and modeling of multiple dislocation dynamics Appl. Phys. Lett. 78 2324-6
9. Hunter A, Saied F, Le C and Koslowski M 2011 Large-scale 3D phase field dislocation dynamics simulations on high-performance architectures Int. J. High Perform. Comput. Appl. 25 223-35
10. Ni Y and Chiang M 2007 Prediction of elastic properties of heterogeneous materials with complex microstructures J. Mech. Phys. Solids 55 517-32 (Pubitemid 46108825)
11. Koslowski M, Lee D W and Lei L 2011 Role of grain boundary energetics on the maximum strength of nanocrystalline nickel J. Mech. Phys. Solids 59 1427-36
12. Mura T (ed) 1986 Micromechanics of Defects in Solids 2nd edn (Boston, MA: Kluwer Academic Publishers)
13. Wang Y U, Jin Y M and Khachaturyan A G 2003 Phase field microelasticity modeling of dislocation dynamics near free surface and in heteroepitaxial thin films Acta Mater. 51 4209-23
14. Denoual C 2004 Dynamic dislocation modeling by combining Peierls Nabarro and galerkin methods Phys. Rev. B 70 024106
15. Roy A and Acharya A 2005 Finite element approximation of field dislocation mechanics J. Mech. Phys. Solids 53 143-70
16. Gracie R, Oswald J and Belytschko T 2008 On a new extended finite element method for dislocations: Core enrichment and nonlinear formulation J. Mech. Phys. Solids 56 200-14
17. Vitek V 1968 Intrinsic stacking faults in body-centred cubic crystals Phil. Mag. 18 773-86
18. Lee D W, Kim H, Strachan A and Koslowski M 2011 Effect of core energy on the mobility in a continuum dislocation model Phys. Rev. B 83 104101
19. Tijssens M G A, van der Giessen E and Sluys L J 2000 Simulation of mode I crack growth in polymers by crazing Int. J. Solids Struct. 37 7307-27
20. Tijssens M G A, van der Giessen E and Sluys L J 2000 Modeling of crazing using a cohesive surface methodology Mech. Mater. 32 19-35 (Pubitemid 30546316)
21. Saad-Gouider N, Estevez R, Olagnon C and Séguéla R 2006 Calibration of a viscoplastic cohesive zone for crazing in pmma Eng. Fract. Mech. 73 2503-22 (Pubitemid 44227773)
22. Camacho G T and Ortiz M 1996 Computational modelling of impact damage in brittle materials Int. J. Solids Struct. 33 2899-938 (Pubitemid 126377006)
23. Belytschko T and Black T 1999 Elastic crack growth in finite elements with minimal remeshing Int. J. Numer. Methods Eng. 45 601-20
24. Miehe C, Welschinger F and Hofacker M 2010 Thermodynamically consistent phase-field models of fracture: variational principles and multi-field fe implementations Int. J. Numer. Methods Eng. 83 1273-311
25. Borden M J, Verhoosel C V, Scott M A, Hughes T J R and Landis C M 2012 A phase-field description of dynamic brittle fracture Comput. Methods Appl. Mech. Eng. 217-220 77-95
26. Lebensohn R A 2001 N-site modeling of a 3d viscoplastic polycrystal using fast fourier transform Acta Mater. 49 2723-37 (Pubitemid 32672837)
27. Wang Y, Jin Y and Khachaturyan A 2002 Phase field microelasticity theory and modeling of elastically and structurally inhomogeneous solid J. Appl. Phys. 92 1351-60 (Pubitemid 34924357)
28. Timoshenko S and Goodier J N 1951 Theory of Elasticity 2nd edn (New York: McGrgaw-Hill)
29. Tang H, Schwarz K W and Espinosa H D 2008 Dislocation-source shutdown and the plastic behavior of single-crystal micropillars Phys. Rev. Lett. 100 185503 (Pubitemid 351656440)
30. Zhou C, Beyerlein I J and LeSar R 2011 Plastic deformation mechanisms of fcc single crystals at small scales Acta Mater. 59 7673-82
31. Roy A and Acharya A 2006 Size effects and idealized dislocation microstructure at small scales: Predictions of a phenomenological model of mesoscopic field dislocation mechanics: Part II J. Mech. Phys. Solids 54 1711-43 (Pubitemid 44218853)
32. Hunter A and Koslowski M 2008 Direct calculation of material parameters for gradient plasticity J. Mech. Phys. Solids 56 3181-90
33. Koslowski M 2007 Scaling laws in plastic deformation Phil. Mag. 87 1175-84 (Pubitemid 46278897)
34. Schoeck G 2001 The core structure, recombination energy and peierls energy for dislocations in Al Phil. Mag. A 81 1161-76
35. Hunter A, Beyerlein I J, Germann T C and Koslowski M 2011 Influence of the stacking fault energy surface on partial dislocations in fcc metals with a three-dimensional phase field dislocations dynamics model Phys. Rev. B 84 144108
36. Hirth J P and Lothe J 1968 Theory Dislocations (New York: McGraw-Hill)
37. Romero I, Segurado J and LLorca J 2008 Dislocation dynamics in non-convex domains using finite elements with embedded discontinuities Modelling Simul. Mater. Sci. Eng. 16 035008
38. Rice J R and Thomson R 1974 Ductile versus brittle behaviour of crystals Phil. Mag. 29 73-97
39. Meyers M A, Jarmakani H, Bringa E M and Remington B A 2009 Dislocations in shock compression and release (Dislocations in Solids vol 15) (Amsterdam: Elsevier) chapter 89 pp 91-197
40. Kramer E and Berger L 1990 Fundamental processes of craze growth and fracture (Crazing in Polymers vol 2) ed H Kausch (Berlin: Springer) pp 1-68 (Advances in Polymer Science vol 91)
41. Sternstein S S, Ongchin L and Silverman A 1968 Inhomogeneous deformation and yielding of glasslike high polymers Appl. Polym. Symp. 7 175-99
42. Argon A S and Hannoosh J G 1977 Initiation of crazes in polystyrene Phil. Mag. 36 1195-216
43. Donald A M and Kramer E J 1982 Effect of strain history on craze microstructure Polymer 23 457-60 (Pubitemid 12518725)
44. Quinson R, Perez J, Rink M and Pavan A 1997 Yield criteria for amorphous glassy polymers J. Mater. Sci. 32 1371-79 (Pubitemid 127503867)
45. Estevez R, Tijssens M G A and Van der Giessen E 2000 Modeling of the competition between shear yielding and crazing in glassy polymers J. Mech. Phys. Solids 48 2585-617
46. Jaramillo E, Wilson N, Christensen S, Gosse J and Strachan A 2012 Energy-based yield criterion for pmma from large-scale molecular dynamics simulations Phys. Rev. B 85 024114
47. Hart-Smith L J 2010 Application of the strain invariant failure theory (sift) to metals and fiber-polymer composites Phil. Mag. 90 4263-331
48. Tran T D, Kelly D, Prusty B G, Gosse J H and Christensen S 2012 Micromechanical modelling for onset of distortional matrix damage of fiber reinforced composite materials Compos. Struct. 94 745-57
49. Argon A S and Hannoosh J G 1977 Initiation of crazes in polystyrene Phil. Mag. 36 1195-216
50. Wang Y U, Jin Y M and Khachaturyan A G 2002 Phase field microelasticity theory and simulation of multiple voids and cracks in single crystals and polycrystals under applied stress J. Appl. Phys. 91 6435-51 (Pubitemid 34636999)
51. Levitas V I, Preston D L and Lee D W 2003 Three-dimensional landau theory for multivariant stress-induced martensitic phase transformations: III. Alternative potentials, critical nuclei, kink solutions and dislocation theory Phys. Rev. B 68 134201
52. Koslowski M 2010 Effect of grain size distribution on plastic strain recovery Phys. Rev. B 82 054110