Vol. 1, No. 4, 2006

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ISSN: 1559-3959
Stresses and strains at nano/micro scales

Youping Chen, James Lee and Liming Xiong

Vol. 1 (2006), No. 4, 705–723
Abstract

This paper is concerned with stress and strain fields at atomic scale. Unlike other formulations of atomistic expression of macroscopic stress fields or homogeneous systems, this paper aims at field descriptions of atomic stresses and strains for multi-element crystalline materials. By decomposing atomic deformation into homogeneous lattice deformation and inhomogeneous relative atomic deformation, a field representation of momentum flux is formulated within the framework of atomic many-body dynamics, and the connection to a macroscopic definition of stress is obtained. The atomic strain measures and the atomic stress-strain relations are derived. Phonon dispersion relations are calculated and presented.

Keywords
stress, strain, atomic scale, many-body dynamics
Milestones
Received: 4 December 2005
Revised: 25 January 2006
Accepted: 24 February 2006
Published: 1 August 2006
Authors
Youping Chen
Department of Mechanical and Aerospace Engineering
University of Florida
Gainesville, FL 32611
United States
James Lee
The George Washington University
Academic Center T733
801 22nd street, NW
Washington, DC 20052
United States
Liming Xiong
Department of Mechanical and Aerospace Engineering
University of Florida
Gainesville, FL 32611
United States