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Some fundamental aspects of surface modelling

Murdoch, A.I. (2005) Some fundamental aspects of surface modelling. Journal of Elasticity, 80 (1-3). pp. 33-52. ISSN 0374-3535

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Abstract

Attention is drawn to four aspects of surface modelling: (1) delineation of the (scale-dependent) geometrical boundary of a body via molecular considerations, (2) identification of the highly inhomogeneous interfacial region between a body and its exterior, and its modelling as a bidimensional continuum involving interfacial excess quantities, (3) the utility of co-ordinate-free notation for surfaces, and (4) the importance of surface effects for small-scale bodies exemplified within a thermoelastic context.