Some fundamental aspects of surface modelling

    Research output: Contribution to journalArticle

    55 Citations (Scopus)

    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 languageEnglish
    Pages (from-to)33-52
    Number of pages19
    JournalJournal of Elasticity
    Volume80
    Issue number1-3
    DOIs
    Publication statusPublished - 2005

    Keywords

    • interfaces
    • surface excess
    • surface thermoelasticity
    • mathematics
    • modelling
    • elasticity

    Cite this

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    title = "Some fundamental aspects of surface modelling",
    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.",
    keywords = "interfaces, surface excess, surface thermoelasticity, mathematics, modelling, elasticity",
    author = "A.I. Murdoch",
    year = "2005",
    doi = "10.1007/s10659-005-9024-2",
    language = "English",
    volume = "80",
    pages = "33--52",
    journal = "Journal of Elasticity",
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    Some fundamental aspects of surface modelling. / Murdoch, A.I.

    In: Journal of Elasticity, Vol. 80, No. 1-3, 2005, p. 33-52.

    Research output: Contribution to journalArticle

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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

    UR - http://dx.doi.org/10.1007/s10659-005-9024-2

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    DO - 10.1007/s10659-005-9024-2

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    EP - 52

    JO - Journal of Elasticity

    JF - Journal of Elasticity

    SN - 0374-3535

    IS - 1-3

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