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Stresses and strains
at nano/micro scales
Youping Chen, James Lee and Liming Xiong |
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Vol. 1 (2006), No. 4, 705–723
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Abstract |
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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
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Milestones
Received: 4 December 2005
Revised: 25 January 2006
Accepted: 24 February 2006
Published: 1 August 2006
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Authors |
| Youping Chen | |
| Department of Mechanical and
Aerospace Engineering University of Florida Gainesville, FL 32611 United States |
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| James Lee | |
| The George Washington
University Academic Center T733 801 22nd street, NW Washington, DC 20052 United States |
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| Liming Xiong | |
| Department of Mechanical and
Aerospace Engineering University of Florida Gainesville, FL 32611 United States |
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