Some fundamental aspects of surface modelling

A.I. Murdoch

doi:10.1007/s10659-005-9024-2

Some fundamental aspects of surface modelling

A.I. Murdoch

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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.

Original language	English
Pages (from-to)	33-52
Number of pages	19
Journal	Journal of Elasticity
Volume	80
Issue number	1-3
DOIs	https://doi.org/10.1007/s10659-005-9024-2
Publication status	Published - 2005

Keywords

interfaces
surface excess
surface thermoelasticity
mathematics
modelling
elasticity

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10.1007/s10659-005-9024-2

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AB - 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.

KW - interfaces

KW - surface excess

KW - surface thermoelasticity

KW - mathematics

KW - modelling

KW - elasticity

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JO - Journal of Elasticity

JF - Journal of Elasticity

IS - 1-3

ER -

Some fundamental aspects of surface modelling

Abstract

Keywords

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