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.
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Murdoch, A. Some Fundamental Aspects of Surface Modelling. J Elasticity 80, 33–52 (2005). https://doi.org/10.1007/s10659-005-9024-2
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DOI: https://doi.org/10.1007/s10659-005-9024-2