Tangential continuity of elastic/plastic curvature and strain at interfaces

International Journal of Solids and Structures

Volumn 49, Issue 18, 2012, Pages 2660-2667

  Fressengeas, C ^a   Taupin, V ^a   Upadhyay, M ^b   Capolungo, L ^b  

^a UNIVERSITÉ PAUL VERLAINE METZ   (France)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Disclinations; Dislocations; Grain boundaries; Interfaces; Triple junctions

Indexed keywords

COMPATIBILITY CONDITIONS; COMPLETE CONTINUITY; DISCLINATIONS; DISLOCATIONS AND DISCLINATIONS; FIELD THEORY; STRAIN RATE TENSORS; TRIPLE JUNCTION;

DISLOCATIONS (CRYSTALS); GRAIN BOUNDARIES; INTERFACES (MATERIALS); PLASTIC DEFORMATION; TENSORS;

STRAIN RATE;

EID: 84863989941     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2012.05.020     Document Type: Article

References (23)

1. A. Acharya Jump condition for GND evolution: a connection between grain growth and slip transmission at grain boundaries Phil. Mag. 87 2007 1349
2. A. Acharya, and C. Fressengeas Coupled phase transformations and plasticity as a field theory of deformation incompatibility Int. J. Fract. 174 2012 87 94
3. A. Acharya, and A. Roy Size effects and idealized dislocation microstructure at small scales: predictions of a phenomenological model of mesoscopic field dislocation mechanics: part I J. Mech. Phys. Solids 54 2006 1687 1710 (Pubitemid 43776865)
4. B. Beausir, C. Fressengeas, N. Gurao, L.S. Toth, and S. Suwas Spatial correlation in grain misorientation distribution Acta Mater. 57 2009 5382
5. Bilby, B.A. 1995. Types of dislocation source.In: Bristol Conference Report on Defects in Crystalline Solids, The Physical Society, London, pp. 124.
6. J.W. Cahn, Y. Mishin, and A. Suzuki Coupling grain boundary motion to shear deformation Acta Mater. 54 2006 4953 4975 (Pubitemid 44572918)
7. R. de Wit Linear theory of static disclinations J.A. Simmons, R. de Wit, R. Bullough, Fundamental Aspects of Dislocation Theory NBS Spec. Publ. 317 1 1970 651 680
8. R. de Wit Theory of disclinations: IV. Straight disclinations Journal of Research of the National Bureau of Standards - A. Physics and Chemistry 77A 1973 607 658
9. Frank, F.C. 1950. The resultant content of dislocations in an arbitrary intercrystalline boundary. In: Symposium on The Plastic Deformation of Crystalline Solids, Mellon Institute, Pittsburgh, (NAVEXOS-P-834), pp. 150.
10. C. Fressengeas, V. Taupin, and L. Capolungo An elasto-plastic theory of dislocation and disclination fields Int. J. Solids Struct. 48 2011 3499
11. V. Yu. Gertsman, A.A. Nazarov, A.E. Romanov, R.Z. Valiev, and V.I. Vladimirov Disclination-structural unit model of grain boundaries Phil. Mag. A 59 1989 1113
12. J. Hadamard Leçons sur la propagation des ondes et les équations de l'hydrodynamique 1903 Herman Paris
13. C. Herring Surface Tension as a Motivation for Sintering The Physics of Powder Metallurgy 1951 McGraw-Hill Book Co. New York pp. 143-179
14. J.P. Hirth The influence of grain boundaries on mechanical properties Met. Trans. 3 1972 3047 3067
15. W. Huang, and T. Mura Elastic fields and energies of a circular edge disclination and a straight screw disclination J. Appl. Phys. 41 1970 5175
16. J.C.M. Li Disclination model of high angle grain boundaries Surf. Sci. 31 1972 12
17. J. Mach, A.J. Beaudoin, and A. Acharya Continuity in the plastic strain rate and its influence on texture evolution J. Mech. Phys. Solids 58 2010 105
18. J.F. Nye Some geometrical relations in dislocated crystals Acta Metall. 1 1953 153
19. T. Richeton, G.F. Wang, and C. Fressengeas Continuity constraints at interfaces and their consequences on the work hardening of metal-matrix composites J. Mech. Phys. Solids 59 2011 2023
20. A.E. Romanov, and A.L. Kolesnikova Application of disclination concept to solid structures Prog. Mat. Sci. 54 2009 740
21. K.K. Shih, and J.C.M. Li Energy of grain boundaries between cusp misorientations Surf. Sci. 50 1975 109
22. A.P. Sutton, and V. Vitek On the structure of tilt grain boundaries in cubic metals. I. Symmetrical tilt boundaries Phil. Trans. R. Soc. Lond. A309 1 1983
23. M. Upadhyay, L. Capolungo, V. Taupin, and C. Fressengeas Grain boundary and Triple line energies in crystalline media: a disclination based approach Int. J. Solids Struct. 48 2011 3176