Anisotropy analysis of the thermal stresses and strain energies in BCC metal films
- 26 August 2005
- journal article
- Published by Elsevier BV in Physica B: Condensed Matter
- Vol. 368 (1-4), 215-222
- https://doi.org/10.1016/j.physb.2005.07.017
Abstract
A thin polycrystalline film tightly bonded to a thick substrate of different thermal expansion coefficients will experience thermal stresses when the temperature is changed in applications. Calculations of these stresses and the corresponding strain energies for grains having various crystallographic orientations (hkl) relative to the film surface were made for a polycrystalline film composed of the BCC metal Cr, Fe, K, Li, Mo, Na, Nb, Ta, V and W, respectively. Neglecting W, which is isotropic, the stresses and strain energy densities are not grain orientation (hkl) dependence. The remaining BCC metals may be grouped into two classes. In the first group (Cr, Mo, Nb and V), the (1 0 0)-oriented grains have the highest stresses and strain energy densities and (1 1 1)-oriented grains the lowest, the stresses σ1 and σ2 in the film surface and strain energy densities in other (hkl)-oriented grains decrease linearly with increasing angle between (hkl) and (1 0 0), and have σ1<σ2 excepting in (1 0 0)- and (1 1 1)-oriented grains. The contrary conclusions are obtained for the second group (Fe, K, Li, Na and Ta).Keywords
This publication has 23 references indexed in Scilit:
- Calculating the energies for Ag(001) twist boundaries utilizing the modified analytical embedded atom methodSurface and Interface Analysis, 2004
- Calculation of the surface energy of FCC metals with modified embedded-atom methodApplied Surface Science, 2004
- Theoretical analysis of interface energy for unrelaxed Ag(001)/Ni(001) twist interface boundaries with MAEAMSurface and Interface Analysis, 2004
- Anisotropy analysis of the surface energy of diamond cubic crystalsSurface and Interface Analysis, 2003
- Calculation of the surface energy of bcc metals by using the modified embedded‐atom methodSurface and Interface Analysis, 2003
- Calculation of formation enthalpies and phase stability for Ru–Al alloys using an analytic embedded atom modelJournal of Alloys and Compounds, 1999
- The yield stress of polycrystalline thin filmsJournal of Materials Research, 1993
- Separation of film thickness and grain boundary strengthening effects in Al thin films on SiJournal of Materials Research, 1992
- Modified embedded-atom potentials for cubic materials and impuritiesPhysical Review B, 1992
- Semiempirical, Quantum Mechanical Calculation of Hydrogen Embrittlement in MetalsPhysical Review Letters, 1983