Modeling of internal stresses and interface effects in metals

Current Opinion in Solid State and Materials Science

Volumn 3, Issue 3, 1998, Pages 269-274

  Pompe, Wolfgang ^a   Bobeth, Manfred ^a  

^a DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

DIGM diffusion induced grain boundary motion; FGM functionally graded materials

Indexed keywords

EID: 0039400241     PISSN: 13590286     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1359-0286(98)80102-2     Document Type: Article

References (53)

1. Dahmen U, Xiao S.Q., Paciornik S, Johnson E, Johansen A. Magic-size equilibrium shapes of nanoscale Pb inclusions in Al. Phys Rev lett. 78:1997;471-474 The observations clearly indicate atomic size effects in connection with internal stresses.
2. Lee J.K. Morphology of coherent precipitates via a discrete atom method. Mater Sci Eng A. 238:1997;1-12 The atomistic simulation technique provides deeper insight into the complex morphological evolution on the nanoscale.
3. Kirkaldy J.S., Savva G. Correlation between coherency strain effects and the Kirkendall effect in binary infinite diffusion couples. Acta Mater. 45:1997;3115-3121.
4. Semenovskaya S, Khachaturyan A.G. Coherent structural transformations in random crystalline systems. Acta Mater. 45:1997;4367-4384 The field theoretical approach and numerical solutions permits a description of very complex structures in random systems. New tweed microstructures have been calculated.
5. Roytburd A.L., Slutsker J. Equilibrium two-phase microstructure at phase transformation in a constrained solid. Mater Sci Eng A. 238:1997;23-31.
6. Ohashi T, Hidaka K, Imano S. Elastic stress in single crystal Ni-base superalloys and the driving force for their microstructural evolution under high temperature creep conditions. Acta Mater. 45:1997;1801-1810 Detailed FEM (finite element model) stress calculations and thermodynamic analysis provide clear evidence for morphology changes by stress-controlled diffusion.
7. Ohashi T, Hidaka K, Saito M. Quantitative study of the plastic slip deformation and formation of internal stresses in Ni-base superalloys. Mater Sci Eng A. 238:1997;42-49.
8. Véron M, Bastie P. Strain induced directional coarsening in nickel based superalloys: investigation on kinetics using the small angle neutron scattering (SANS) technique. Acta Mater. 45:1997;3277-3282.
9. Wenk H-R, Canova G, Bréchet Y, Flandin L. A deformation-based model for recrystallization of anisotropic materials. Acta Mater. 45:1997;3283-3296.
10. 3. Acta Mater. 45:1997;3123-3134.
11. Weissenbek E, Pettermann H.E., Suresh S. Elasto-plastic deformation of compositionally graded metal-ceramic composites. Acta Mater. 45:1997;3401-3417.
12. Dao M, Gu P, Maewal A, Asaro R.J. A micromechanical study of residual stresses in functionally graded materials. Acta Mater. 45:1997;3265-3276.
13. Reiter T, Dvorak G.J., Tvergaard V. Micromechanical models for graded composite materials. J Mech Phys Solids. 45:1997;1281-1302 The suitability of mean field theories to describe graded materials is proven.
14. Kreher W, Pompe W. Internal Stresses in Heterogeneous Solids. 1989;Akademie-Verlag, Berlin.
15. Swaminarayan S, Najafabadi R, Srolovitz D.J. Finite size effects on the thermodynamics of Cu-Ni alloys: {100} and {110} thin films. Acta Mater. 45:1997;1715-1724.
16. Wilk G.D., Chervinsky J.F., Spaepen F, Golovchenko J.A. Effect of substrate miscut on low-temperature homoepitaxial growth on Si(111) mediated by overlayers of Au: evidence of step flow. Appl Phys Lett. 70:1997;2553-2555.
17. Schroeder M, Wolf D.E. Diffusion on strained surfaces. Surf Sci. 375:1997;129-140 This study is important to understanding island formation during film growth.
18. Shilkrot L.E., Srolovitz D.J. Adatom-step interactions: atomistic simulations and elastic models. Phys Rev B. 55:1997;4737-4744 A new quantitative understanding of atomic processes during layer-by-layer thin film growth is provided.
19. Shilkrot L.E., Srolovotz D.J. Anisotropic elastic analysis and atomistic simulation of adatom - adatom interactions on solid surfaces. J Mech Phys Solids. 45:1997;1861-1873 The work is a fundamental contribution to the analysis of cluster nucleation and growth during thin film preparation.
20. Dehm G, Rühle M, Conway H.D., Raj R. A microindentation method for estimating interfacial shear strength and its use in studying the influence of titanium transition layers on the interface strength of epitaxial copper films on sapphire. Acta Mater. 45:1997;489-499.
21. 1 thin films and polyimide. Appl Phys Lett. 70:1997;1251-1253.
22. Wu P, Jiang E.Y., Bai H.L., Wang H.Y. Evolution of microstructure in Co-Cu multilayers during thermal annealing. Phys Status Solidi A. 161:1997;389-397.
23. Klassen T, Oehring M, Bormann R. Microscopic mechanisms of metastable phase formation during ball milling of intermetallic TiAl phases. Acta Mater. 45:1997;3935-3948.
24. McIntyre PC, Maggiore C.J., Nastasi M. Epitaxy of Pt thin films on (001) MgO - I. Interface energetics and misfit accommodation. Acta Mater. 45:1997;869-878.
25. Vellinga W.P., de Hosson J.Th.M., Vitek V. Misfit dislocations: an atomistic and elastic continuum approach. Acta Mater. 45:1997;1525-1534 A new approach to explain nonlocalized strain accommodation at interfaces is established.
26. Hu J, Leo P.H. Defect structures at thin film-substrate interfaces. J Mech Phys Solids. 45:1997;637-665.
27. Bollmann W. Crystal Defects and Crystalline Interfaces. 1970;Springer-Verlag, New York.
28. Johnson H.T., Freund L.B. Mechanics of coherent and dislocated island morphologies in strained epitaxial material systems. J Appl Phys. 81:1997;6081-6090 Technologically important conditions for dislocation formation during island growth of thin films are derived.
29. Kukta RV, Freund L.B. Minimum energy configuration of epitaxial material clusters on a lattice-mismatched substrate. J Mech Phys Solids. 45:1997;1835-1860 This analysis of island growth during film formation also includes island coalescence.
30. Poppeller M, Abermann R. Influence of substrate properties on the growth of titanium films. Part I. Thin Solid Films. 295:1997;60-66.
31. Poppeller M, Abermann R. Influence of substrate properties on the growth of titanium films. Part 2. Thin Solid Films. 300:1997;11-17.
32. Shull A.L., Spaepen F. Measurements of stress during vapor deposition of copper and silver thin films and multilayers. J Appl Phys. 80:1996;6243-6256 For the first time, in situ measurements of interface stresses are reported.
33. Fayeulle S, Nastasi M. Stress in dc sputtered TiN/B-C-N multilayers. J Appl Phys. 81:1997;6703-6708.
34. Finot M, Blech I.A., Suresh S, Fujimoto H. Large deformation and geometric instability of substrates with thin-film deposits. J Appl Phys. 81:1997;3457-3464.
35. Reimann K, Würschum R. Distribution of internal strains in nanocrystalline Pd studied by X-ray diffraction. J Appl Phys. 81:1997;7186-7192.
36. Cammarata RC. Surface and interface stress effects on interfacial and nanostructed materials. Mater Sci Eng A. 237:1997;180-184.
37. Szymczak H. Surface magnetoelastic behavior of magnetic multilayers. J Appl Phys. 81:1997;5411-5415.
38. Gumbsch P, Daw M.S. Interface stresses and their effects on the elastic moduli of metallic multilayers. Phys Rev B. 44:1991;3934-3938.
39. Weismüller J, Cahn J.W. Mean stresses in microstructures due to interface stresses:A generalization of a capillary equation for solids. Acta Mater. 45:1997;1899-1906 This very general analysis of the effect of interface stresses is of fundamental importance.
40. Simha N.K., Bhattacharya K. Equilibrium conditions at corners and edges of an interface in a multiphase solid. Mater Sci Eng A. 238:1997;32-41.
41. Fan D, Geng Ch, Chen L-Q. Computer simulation of topological evolution in 2-d grain growth using a continuum diffuse-interface field model. Acta Mater. 45:1997;1115-1126 The presented simulation technique is very promising for future studies of grain structure evolution.
42. Fan D, Chen L-Q, Chen S.P. Effect of grain boundary width on grain growth in a diffuse-interface field model. Mater Sci Eng A. 238:1997;78-84.
43. Venkitachalam M.K., Chen L-Q, Khachaturyan A.G., Messing G.L. A multiple-component order parameter phase field model for anisotropic grain growth. Mater Sci Eng A. 238:1997;94-100.
44. Cahn J.W., Fife P, Penrose O. A phase-field model for diffusion-induced grain-boundary motion. Acta Mater. 45:1997;4397-4413 The universal model presented enables a description of a whole class of mechanisms of DIGM.
45. Rabkin E, Semenov V, Gust W, Shvindlerman L.S. Diffusion-induced instabilities at internal interfaces in solids. Defect Diffusion Forum. 143-147:1997;1373-1384.
46. Wong H, Voorhees P.W., Miksis M.J., Davis S.H. Capillary instabilities of a catenoidal hole in a solid film. J Appl Phys. 81:1997;6091-6099.
47. Wang W, Suo Z. Shape change of a pore in a stressed solid via surface diffusion motivated by surface and elastic energy variation. J Mech Phys Solids. 45:1997;709-729 The rigorous analysis of pore shape development at high temperatures contributes to the lifetime prediction of ceramics.
48. Sun B, Suo Z, Yang W. A finite element method for simulating interface motion - I. Migration of phase and grain boundaries. Acta Mater. 45:1997;1907-1915.
49. Xia L, Bower A.F., Suo Z. A finite element analysis of the motion and evolution of voids due to strain and electromigration induced surface diffusion. J Mech Phys Solids. 45:1997;1473-1493.
50. Sridhar N, Rickman JM, Srolovitz D.J. Microstructural stability of stressed lamellar and fiber composites. Acta Mater. 45:1997;2715-2733 This stability analysis covers several practically important precipitate shapes.
51. Colin J, Grilhé J, Junqua N. Morphological instabilities of a stressed pore channel. Acta Mater. 45:1997;3835-3841.
52. Brada M.P., Clarke D.R. A thermodynamic approach to the wetting and dewetting of grain boundaries. Acta Mater. 45:1997;2501-2508.
53. Straumal B, Rabkin E, Lojkowski W, Gust W, Shvindlerman L.S. Pressure influence on the grain boundary wetting phase transition in Fe-Si alloys. Acta Mater. 45:1997;1931-1940.