Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-11T06:17:58.936Z Has data issue: false hasContentIssue false

A Constitutive Model for the Mechanical Behavior of Single Crystal Silicon at Elevated Temperature

Published online by Cambridge University Press:  15 March 2011

H.-S. Moon
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
L. Anand
Affiliation:
Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
S. M. Spearing
Affiliation:
Department of Aeronautics and Astronautics Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA
Get access

Abstract

Silicon in single crystal form has been the material of choice for the first demonstration of the MIT microengine project. However, because it has a relatively low melting temperature, silicon is not an ideal material for the intended operational environment of high temperature and stress. In addition, preliminary work indicates that single crystal silicon has a tendency to undergo localized deformation by slip band formation. Thus it is critical to obtain a better understanding of the mechanical behavior of this material at elevated temperatures in order to properly exploit its capabilities as a structural material. Creep tests in simple compression with n-type single crystal silicon, with low initial dislocation density, were conducted over a temperature range of 900 K to 1200 K and a stress range of 10 MPa to 120 MPa. The compression specimens were machined such that the multi-slip <100> or <111> orientations were coincident with the compression axis. The creep tests reveal that response can be delineated into two broad regimes: (a) in the first regime rapid dislocation multiplication is responsible for accelerating creep rates, and (b) in the second regime an increasing resistance to dislocation motion is responsible for the decelerating creep rates, as is typically observed for creep in metals. An isotropic elasto-viscoplastic constitutive model that accounts for these two mechanisms has been developed in support of the design of the high temperature turbine structure of the MIT microengine.

Type
Research Article
Copyright
Copyright © Materials Research Society 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. ABAQUS Reference Manuals, 2001, Providence, RI. Google Scholar
2. Walters, D. S., Spearing, S. M., Scripta mater. Vol. 42, No. 8, 769774, 2000.Google Scholar
3. Chen, K-S., Ph. D. Thesis, Dept. of Mechanical Engineering, MIT, Cambridge, MA, 1999.Google Scholar
4. Balasubramanian, S., Anand, L., Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures, J. Mech. Phys. Solid, Vol. 50, pp. 101126, 2001 Google Scholar
5. Alexander, H., Hassen, P., Solid State Physics, pp 27158, 1968.Google Scholar
6. Dillon, W. Jr., Tsai, C. T., DeAngelis, R. J., J. Appl. Phys. Vol. 60, p 1784, 1986.Google Scholar
7. Myshlyaev, M. M., Nikitenko, V. I., Nesterenko, V. I., Phys. Stat. Sol., Vol. 36, pp 8995, 1969.Google Scholar