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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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
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Online ISBN: 978-1-4020-9033-2
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