Airy stress function for atomic models

Paul J. Steinhardt; P. Chaudhari

doi:10.1016/0021-9991(81)90244-8

Airy stress function for atomic models

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Abstract

A simple method is shown for computing the Airy stress function for two-dimensional problems. The method is applied to a simple mechanics example and to large computer-generated atomic models whose properties are independent of some coordinate z. The method has recently proved useful for analyzing topological defects in computer-generated models of amorphous solids.

Original language	English (US)
Pages (from-to)	266-276
Number of pages	11
Journal	Journal of Computational Physics
Volume	42
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(81)90244-8
State	Published - Aug 1981
Externally published	Yes

All Science Journal Classification (ASJC) codes

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(81)90244-8

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title = "Airy stress function for atomic models",

abstract = "A simple method is shown for computing the Airy stress function for two-dimensional problems. The method is applied to a simple mechanics example and to large computer-generated atomic models whose properties are independent of some coordinate z. The method has recently proved useful for analyzing topological defects in computer-generated models of amorphous solids.",

author = "Steinhardt, {Paul J.} and P. Chaudhari",

note = "Funding Information: We would like to thank F. C. Frank for introducing us to his ideas concerning the Airy stress function. One of us (P.J.S.) has been supported in part by the National Science Foundation under Grant PHY 77-22864 and the Harvard Society of Fellows.",

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AB - A simple method is shown for computing the Airy stress function for two-dimensional problems. The method is applied to a simple mechanics example and to large computer-generated atomic models whose properties are independent of some coordinate z. The method has recently proved useful for analyzing topological defects in computer-generated models of amorphous solids.

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Airy stress function for atomic models

Abstract

All Science Journal Classification (ASJC) codes

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