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Computational Modeling of Surface Effects: Distinctions from Classical Surface Elasticity Theory

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IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures

Part of the book series: IUTAM Bookseries (closed) ((IUTAMBOOK,volume 31))

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Abstract

We present a brief overview and comparison of two different approaches to capturing surface effects on nanoscale materials. The first is a recently proposed computational model, the surface Cauchy-Born (SCB) model, which is a nonlinear, finite deformation continuum theory based upon Cauchy-Born kinematics. The second is classical linear surface elasticity based upon the framework proposed by Gurtin and Murdoch. Key distinctions that are discussed include the importance of linear versus nonlinear kinematics, and the dimensionality of the surface stress tensor.

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Acknowledgement

HSP gratefully acknowledges NSF grant CMMI 0750395 in support of this research.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Boston University, Boston, MA, 02215, USA

    Harold S. Park

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  1. Harold S. Park
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Correspondence to Harold S. Park .

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Editors and Affiliations

  1. , Engineering Science, University of Oxford, Parks Road, Oxford, OX1 3 PJ, United Kingdom

    Alan Cocks

  2. , Mechanics and Aerospace Engineering, Peking University, Beijing, 100871, China, People's Republic

    Jianxiang Wang

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Park, H.S. (2013). Computational Modeling of Surface Effects: Distinctions from Classical Surface Elasticity Theory. In: Cocks, A., Wang, J. (eds) IUTAM Symposium on Surface Effects in the Mechanics of Nanomaterials and Heterostructures. IUTAM Bookseries (closed), vol 31. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-4911-5_15

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  • DOI: https://doi.org/10.1007/978-94-007-4911-5_15

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-4910-8

  • Online ISBN: 978-94-007-4911-5

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