Murdoch, A.I. (2003) *On the microscopic interpretation of stress and couple stress.* Journal of Elasticity, 71. pp. 105-131. ISSN 0374-3535

## Abstract

Exact continuum forms of balance (for mass, linear momentum, and tensor-valued moment of momentum) are established as relations between weighted spatial averages of corpuscular quantities computed at any supra-molecular length scale. Explicit expressions for stress and generalised couple stress in terms of particle interactions are obtained using a theorem due to Noll, and their physical interpretation is discussed for a specific choice of weighting function. Remarks are made on other choices of weighting function, the interpretation of partial stress in mixture theory, a link between couple stress and inhomogeneity, and other forms of moment of momentum balance. Comparison is made with the statistical mechanical viewpoint pioneered by Irving and Kirkwood.

Item type: | Article |
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ID code: | 2133 |

Keywords: | stress, couple stress, microscopic interpretation, weighting function, elasticity, weighting, Mathematics, Mechanics of Materials, Materials Science(all), Mechanical Engineering |

Subjects: | Science > Mathematics |

Department: | Faculty of Science > Mathematics and Statistics > Mathematics |

Related URLs: | |

Depositing user: | Strathprints Administrator |

Date Deposited: | 23 Nov 2006 |

Last modified: | 04 Sep 2014 11:41 |

URI: | http://strathprints.strath.ac.uk/id/eprint/2133 |

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