Nonlinear Elastic Properties of Micro-Heterogeneous Media

[+] Author and Article Information
E. Kröner

Institut für Theoretische und Angewandte Physik, der Universität Stuttgart und Max-Planck-Institut für Metallforschung, Stuttgart

J. Eng. Mater. Technol 116(3), 325-330 (Jul 01, 1994) (6 pages) doi:10.1115/1.2904295 History: Received August 15, 1993; Revised January 17, 1994; Online April 29, 2008


Utilizing statistical methods known from linear elasticity it is shown how effective 3rd (and higher) order elastic constants (TOEC) of micro-heterogeneous media can be calculated. Emphasis is put on the self consistent scheme. The ensemble average of the fluctuating TOEC yields a 0th approximation to the rigorous selfconsistent moduli. A first approximation is also given in closed form. The insight that the well-established statistical methods of the linear theory, which uses Green functions, are applicable also to nonlinear problems is considered as the main result of this paper.

Copyright © 1994 by The American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.





Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In