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Modelling of Size Effects with Gradient-Enriched Continuum Theories

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IUTAM Symposium on Scaling in Solid Mechanics

Part of the book series: Iutam Bookseries ((IUTAMBOOK,volume 10))

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Abstract

Size-dependent mechanical behaviour in simulations with a higher-order continuum material model is studied. It is shown that size effects occur in strain concentrations when a gradient elasticity theory is used. Similarly, size effects in the peak load can be modelled with a gradient damage theory. In both cases, a comparison is made with two scaling laws available in the literature: the Multi-Fractal Scaling Law of Carpinteri and the Size Effect Law of Bažant. Finally, the energy dissipation in Elementary Volumes is shown to be size-dependent, where again a gradient damage theory has been used. This implies that Representative Volumes do not exist when the dissipated energy is considered.

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Author information

Authors and Affiliations

  1. Department of Civil and Structural Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, United Kingdom

    Harm Askes

Authors
  1. Harm Askes
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  2. Inna M. Gitman
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  3. Angelo Simone
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  4. Lambertus J. Sluys
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Editor information

Editors and Affiliations

  1. School of Engineering, Cardiff University, Queen’s Bldg., The Parade, Cardiff CF24 3AA, UK

    F.M. Borodich (borodichfm@cardiff.ac.uk) (borodichfm@cardiff.ac.uk)

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© 2009 Springer Science+Business Media B.V.

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Askes, H., Gitman, I.M., Simone, A., Sluys, L.J. (2009). Modelling of Size Effects with Gradient-Enriched Continuum Theories. In: Borodich, F. (eds) IUTAM Symposium on Scaling in Solid Mechanics. Iutam Bookseries, vol 10. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9033-2_6

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  • DOI: https://doi.org/10.1007/978-1-4020-9033-2_6

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-4020-9032-5

  • Online ISBN: 978-1-4020-9033-2

  • eBook Packages: EngineeringEngineering (R0)

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