A systematic link between microscopic and macroscopic theories of matter has been lacking in the case of heterogeneous materials (polycrystals, composites, etc.). The properties of such materials are largely determined by their collective microstructure, which defines several intermediate or mesoscopic length scales. A microscopic description is presented and the principles of statistical mechanics are used to derive a set of mesoscopic field dynamical equations that describe microstructure evolution under external stresses, temperature gradients, or electric current. The macroscopic dynamical equations of continuum mechanics are recovered. The cross‐coupled phenomena of elastic deformations and inelastic diffusive and slip processes are present, setting the stage for a first‐principles theory of dislocation dynamics and plasticity.
Skip Nav Destination
Article navigation
1 April 1994
Research Article|
April 01 1994
First‐principles mesoscopic dynamics in heterogeneous materials
Sokrates T. Pantelides
Sokrates T. Pantelides
IBM Research Division, T. J. Watson Research Center, Yorktown Heights, New York 10598
Search for other works by this author on:
J. Appl. Phys. 75, 3264–3272 (1994)
Article history
Received:
October 11 1993
Accepted:
December 08 1993
Citation
Sokrates T. Pantelides; First‐principles mesoscopic dynamics in heterogeneous materials. J. Appl. Phys. 1 April 1994; 75 (7): 3264–3272. https://doi.org/10.1063/1.356133
Download citation file:
Pay-Per-View Access
$40.00
Sign In
You could not be signed in. Please check your credentials and make sure you have an active account and try again.
Citing articles via
A step-by-step guide to perform x-ray photoelectron spectroscopy
Grzegorz Greczynski, Lars Hultman
Piezoelectric thin films and their applications in MEMS: A review
Jinpeng Liu, Hua Tan, et al.
Tutorial: Simulating modern magnetic material systems in mumax3
Jonas J. Joos, Pedram Bassirian, et al.
Related Content
Effects of tandem and colliding shock waves on the initiation of triaminotrinitrobenzene
J. Appl. Phys. (September 1995)
On the dielectric response of complex layered oxides: Mica‐type silicates and layered double hydroxides
J. Appl. Phys. (August 1992)
Thermal‐wave study of the microstructure of lead titanate zirconate and PbTiO3‐based ceramics
J. Appl. Phys. (May 1992)
Bi‐orthogonality relationships involving porous media
J Acoust Soc Am (August 1995)
Photoluminescence of ultrasmall Ge quantum dots grown by molecular-beam epitaxy at low temperatures
Appl. Phys. Lett. (February 2002)