Stress profile and thermal expansion of layered materials determined from surface stresses

Malzbender, Jürgen
June 2004
Applied Physics Letters;6/7/2004, Vol. 84 Issue 23, p4661
Academic Journal
A simple method of inferring the stress profile and the effective difference in thermal expansion or strain in an unconstrained elastic multilayer system from a measurement of a limited number of surface stresses as obtained for example using x-ray diffraction or Raman spectroscopy is outlined. Explicit relationships are given for bilayered systems. The analysis procedure is exemplified for literature data of electronics materials, solid oxide fuel cells and thermal barrier systems. Following the outlined procedure, a determination of the stress profile and difference in thermal expansion for composites of alternating layers is also possible. © 2004 American Institute of Physics.


Related Articles

  • Six-circle diffractometer with atmosphere- and temperature-controlled sample stage and area and line detectors for use in the G2 experimental station at CHESS. Nowak, D. E.; Blasini, D. R.; Vodnick, A. M.; Blank, B.; Tate, M. W.; Deyhim, A.; Smilgies, D.-M.; Abruña, H.; Gruner, S. M.; Baker, S. P. // Review of Scientific Instruments;Nov2006, Vol. 77 Issue 11, p113301 

    A new diffractometer system was designed and built for the G2 experimental station at the Cornell High Energy Synchrotron Source (CHESS). A six-circle κ goniometer, which provides better access to reciprocal space compared to Eulerian cradles, was chosen primarily to perform large angle Bragg...

  • Three-dimensional scattering of impulsive acoustic waves by a semi-infinite crack in the plane interface of a half-space and a layer. Kooij, Bert Jan; Quak, Dirk // Journal of Mathematical Physics;Jul88, Vol. 29 Issue 7, p1712 

    The three-dimensional diffraction of a pulsed acoustic wave by a semi-infinite crack located in the interface of a uniform layer and a half-space is investigated theoretically. In the analysis the influence of shear stresses in the material structure is neglected. The incident acoustic wave is...

  • Residual strain and texture in free-standing nanoscale Cu-Nb multilayers. Aydıner, C. C.; Brown, D. W.; Misra, A.; Mara, N. A.; Wang, Y.-C.; Wall, J. J.; Almer, J. // Journal of Applied Physics;Oct2007, Vol. 102 Issue 8, p083514 

    We investigate the residual strains in a free-standing Cu/Nb multilayer of 30 nm nominal layer thickness with synchrotron x-rays. This material system is characterized by columnar grains of Cu and Nb with incoherent interfaces and a sharp physical-vapor-deposition texture. High energy x-rays...

  • Micro-Raman spectroscopy and analysis of near-surface stresses in silicon around through-silicon vias for three-dimensional interconnects. Ryu, Suk-Kyu; Zhao, Qiu; Hecker, Michael; Son, Ho-Young; Byun, Kwang-Yoo; Im, Jay; Ho, Paul S.; Huang, Rui // Journal of Applied Physics;Mar2012, Vol. 111 Issue 6, p063513 

    Three-dimensional integration with through-silicon vias (TSVs) has emerged as an effective solution to overcome the wiring limit imposed on device density and performance. However, thermal stresses induced in TSV structures raise serious thermomechanical reliability concerns. In this paper, we...

  • Uniaxial-stress induced phase transitions in [001]C-poled 0.955Pb(Zn1/3Nb2/3)O3–0.045PbTiO3. Janolin, Pierre-Eymeric; Dkhil, Brahim; Davis, Matthew; Damjanovic, Dragan; Setter, Nava // Applied Physics Letters;4/9/2007, Vol. 90 Issue 15, p152907 

    First order rhombohedral to orthorhombic stress-induced phase transitions have been evidenced by bulk charge-stress measurements and x-ray diffraction derived lattice strain measurements in [001]C-poled 0.955Pb(Zn1/3Nb2/3)O3–0.045PbTiO3 (PZN-4.5PT). The transitions are induced by uniaxial...

  • X-ray powder diffraction of NaCl under pressure: Nanocrystals induce anomalous strains. Weber, H.-J.; Keller, H.-L.; Lathe, C.; Popa-Varga, C. // Journal of Applied Physics;8/1/2005, Vol. 98 Issue 3, p034317 

    Energy-dispersive powder diffraction as a function of pressure has been used to search for elastic interactions between CuCl nanocrystals embedded in NaCl and sample surfaces. Anomalous properties have been observed only for (200) reflexes of the NaCl matrix although crystallographic structure...

  • Materials Response under Extreme Conditions. Remington, B. A.; Hawreliak, J.; Lorenz, K. T.; Lorenzana, H. E.; McNaney, J. M.; Pollaine, S. M.; Swift, D. C.; Yaakobi, B. // AIP Conference Proceedings;2006, Vol. 845 Issue 1, p765 

    Solid state experiments at extreme pressures (0.1 – 1 Mbar) and strain rates (106–108 s-1) are being developed on high-energy laser facilities. The goal is a capability to test constitutive models for high-pressure, solid-state strength of materials. Relevant constitutive models...

  • Crystals in Polymers May Afford Better Mechanical Performance than Solid Mesophases. Auriemma, Finizia; De Rosa, Claudio // AIP Conference Proceedings;7/7/2008, Vol. 1027 Issue 1, p1318 

    We report a study of the structural transformations and mechanical properties occurring during the stretching of metallocene-made isotactic polypropylene (iPP) samples characterized by different degree of stereoregularity. We show that the occurrence of stress-induced phase transitions during...

  • X-ray rocking curve measurement of composition and strain in Si-Ge buffer layers grown on Si... Fatemi, M.; Stahlbush, R.E. // Applied Physics Letters;2/25/1991, Vol. 58 Issue 8, p825 

    Determines the level of strain and the fraction of germanium (Ge) in SiGe layers grown on silicon (Si). Double-crystal x-ray diffraction; Use of the linear elasticity theory combined with Vegard's law; Rise of lattice relaxation.


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics