First principles based predictions of the toughness of a metal/oxide interface
-
Yong Jiang
, Yueguang Wei , John R. Smith , John W. Hutchinson und Anthony G. Evans
Abstract
We describe a first-principles-based strategy to predict the macroscopic toughness of a γ-Ni(Al)/α-Al2O3 interface. Density functional theory calculations are used to ascertain energy changes upon displacing the two materials adjacent to the interface, with relaxation conducted over all atoms located within adjoining rows. Traction/displacement curves are obtained from derivatives of the energy. Calculations are performed in mode I (opening), mode II (shear) and at a phase angle of 45°. The shear calculations are conducted for displacements along <110> and <112> of the Ni lattice. A generalized interface potential function is used to characterize the results. Initial fitting to both the shear and normal stress results is required to calibrate the unknowns. Thereafter, consistency is established by using the potential to predict other traction quantities. The potential is incorporated as a traction/displacement function within a cohesive zone model and used to predict the steady-state toughness of the interface. For this purpose, the plasticity of the Ni alloy must be known, including the plasticity length scale. Measurements obtained for a γ-Ni superalloy are used and the toughness predicted over the full range of mode mixity. Additional results for a range of alloys are used to demonstrate the influences of yield strength and length scale.
References
[1] Y.Sun, G.E.Beltz, J.R.Rice: Mater. Sci. Eng. A67 (1993) 170.Suche in Google Scholar
[2] V.Tvergaard, J.W.Hutchinson: J. Mech Phys Solids41 (1993) 1119.10.1016/0022-5096(93)90057-MSuche in Google Scholar
[3] Y.Wei, J.W.Hutchinson: Int. J. Fracture95 (1999) 1.10.1023/A:1018627712739Suche in Google Scholar
[4] Y.Wei, J.W.Hutchinson: Philos. Mag.88 (2008) 3841.10.1080/14786430802311092Suche in Google Scholar
[5] K.J.Hemker, B.G.Mendis, C.Eberl: Mater. Sci. Eng. A483–484 (2008) 727.10.1016/j.msea.2006.12.169Suche in Google Scholar
[6] J.W.Hutchinson, Z.Suo: Adv. Appl. Mech., 29 (1992) 63.10.1016/S0065-2156(08)70164-9Suche in Google Scholar
[7] A.G.Evans, J.W.Hutchinson: Surface & Coatings Technology, 201 (2007) 7905.10.1016/j.surfcoat.2007.03.029Suche in Google Scholar
[8] J.R.Smith, Y.Jiang, A.G.Evans: Int. J. Mat. Res.98 (2007) 1214.Suche in Google Scholar
[9] W.Zhang, J.R.Smith, A.G.Evans: Acta Mater50 (2002) 3803.10.1016/S1359-6454(02)00177-5Suche in Google Scholar
[10] Y.Jiang, J.R.Smith, A.G.Evans: Appl. Phys. Lett.92 (2008) 141918.10.1063/1.2907339Suche in Google Scholar
[11] P.E.Blöchl: Phys. Rev. B50 (1994) 17953.10.1103/PhysRevB.50.17953Suche in Google Scholar
[12] A.Needleman: J. Mech. Phys. Solids38 (1990) 289.10.1016/0022-5096(90)90001-KSuche in Google Scholar
[13] J.H.Rose, J.Ferrante, J.R.Smith: Phys. Rev. Lett.47 (1981) 675.10.1103/PhysRevLett.47.675Suche in Google Scholar
[14] R.L.Hayes, M.Ortiz, E.A.Carter: Phys. Rev. B69 (2004) 172104.10.1103/PhysRevB.69.172104Suche in Google Scholar
[15] A.Van der Ven, G.Ceder: Acta Materialia.52 (2004) 1223.10.1016/j.actamat.2003.11.007Suche in Google Scholar
[16] V.Tvergaard, J.W.Hutchinson: J. Mech. Phys. Solids40 (1992) 1377.10.1016/0022-5096(92)90020-3Suche in Google Scholar
[17] J.P.Hirth, J.Loethe: Theory of Dislocations, McGraw-Hill, NY (1968).Suche in Google Scholar
[18] S.Ogata, J.Li, S.Yip: Science298 (2002) 807.PMid:12399585;10.1126/science.1076652Suche in Google Scholar PubMed
[19] T.Liang, W. GregorySawyer, S.S.Perry, S.B.Sinnott, S.R.Phillpot: Phys. Rev. B77 (2008) 104105.10.1103/PhysRevB.77.104105Suche in Google Scholar
[20] T.Xu, S.Faulhaber, C.Mercer, M.Maloney, A.Evans: Acta Materialia52 (2004) 1439.10.1016/j.actamat.2003.11.025Suche in Google Scholar
[21] K.J.Hemker: private communication (2008).Suche in Google Scholar
[22] Y.Wei, J.W.Hutchinson: J. Mech. Phys. Solids51 (2003) 2037.10.1016/j.jmps.2003.09.011Suche in Google Scholar
© 2010, Carl Hanser Verlag, München
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Editorial
- The 7th International Workshop on Interfaces: New Materials via Interfacial Control
- Basic
- First principles based predictions of the toughness of a metal/oxide interface
- The role of interfaces in the behavior of magnetic tunnel junction structures
- Applications of aberration corrected scanning transmission electron microscopy and electron energy loss spectroscopy to thin oxide films and interfaces
- Van der Waals-London dispersion interaction framework for experimentally realistic carbon nanotube systems
- Determination of grain boundary potentials in ceramics: Combining impedance spectroscopy and inline electron holography
- Grain boundary plane distributions in aluminas evolving by normal and abnormal grain growth and displaying different complexions
- Theoretical study on the structure and energetics of intergranular glassy film in Si3N4-SiO2 ceramics
- Inter-granular glassy phases in the low-CaO-doped HIPed Si3N4 ceramics: a review
- Applied
- Sintering of fully faceted crystalline particles
- Grain growth kinetics and segregation in yttria tetragonal zirconia polycrystals
- A new method to measure monoclinic depth profile in zirconia-based ceramics from X-ray diffraction data
- The role of Si impurities in the transient dopant segregation and precipitation in yttrium-doped alumina
- Using microfabricated devices to determine the fracture strength of materials
- Spark plasma sintering of self-doped alumina powders
- High density carbon materials obtained at relatively low temperature by spark plasma sintering of carbon nanofibers
- Application of new forming and sintering techniques to obtain hydroxyapatite and β-TCP nanostructured composites
- Silver-hydroxyapatite nanocomposites as bactericidal and fungicidal materials
- Cu-Ni-YSZ anodes for solid oxide fuel cell by mechanical alloying processing
- Rapid transient-liquid-phase bonding of Al2O3 with microdesigned Ni/Nb/Ni interlayers
- DGM News
- Personal
Artikel in diesem Heft
- Contents
- Contents
- Editorial
- Editorial
- The 7th International Workshop on Interfaces: New Materials via Interfacial Control
- Basic
- First principles based predictions of the toughness of a metal/oxide interface
- The role of interfaces in the behavior of magnetic tunnel junction structures
- Applications of aberration corrected scanning transmission electron microscopy and electron energy loss spectroscopy to thin oxide films and interfaces
- Van der Waals-London dispersion interaction framework for experimentally realistic carbon nanotube systems
- Determination of grain boundary potentials in ceramics: Combining impedance spectroscopy and inline electron holography
- Grain boundary plane distributions in aluminas evolving by normal and abnormal grain growth and displaying different complexions
- Theoretical study on the structure and energetics of intergranular glassy film in Si3N4-SiO2 ceramics
- Inter-granular glassy phases in the low-CaO-doped HIPed Si3N4 ceramics: a review
- Applied
- Sintering of fully faceted crystalline particles
- Grain growth kinetics and segregation in yttria tetragonal zirconia polycrystals
- A new method to measure monoclinic depth profile in zirconia-based ceramics from X-ray diffraction data
- The role of Si impurities in the transient dopant segregation and precipitation in yttrium-doped alumina
- Using microfabricated devices to determine the fracture strength of materials
- Spark plasma sintering of self-doped alumina powders
- High density carbon materials obtained at relatively low temperature by spark plasma sintering of carbon nanofibers
- Application of new forming and sintering techniques to obtain hydroxyapatite and β-TCP nanostructured composites
- Silver-hydroxyapatite nanocomposites as bactericidal and fungicidal materials
- Cu-Ni-YSZ anodes for solid oxide fuel cell by mechanical alloying processing
- Rapid transient-liquid-phase bonding of Al2O3 with microdesigned Ni/Nb/Ni interlayers
- DGM News
- Personal