Murdoch, A.I. (2003) On the microscopic interpretation of stress and couple stress. Journal of Elasticity, 71. pp. 105-131. ISSN 0374-3535Full text not available in this repository. (Request a copy from the Strathclyde author)
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.
|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|
|Depositing user:||Strathprints Administrator|
|Date Deposited:||23 Nov 2006|
|Last modified:||22 Mar 2017 09:13|