Abstract
It was shown at length in Chap. 2 that the behaviour of psammoids with reversals cannot generally be captured without internal state variables. But how to introduce and justify hidden quantities? Babuska and Oden (2006) show that the uniaxial anelastic response of metals with some hundred cycles is not satisfactorily captured by widely used elastoplastic relations with internal variables. It is not my intention to overcome this misery for solids in Sect. 4.1, but to prepare more geometrico a way out for soils. The hidden state can be related with the spatial fluctuation of internal forces, this is called force-roughness. This oriented quantity is particularly indicated by the asymptotic response to strain cycles and ratcheting (cf. Sect. 2.1). The proposed additional attractors of force-roughness are inevitably heuristic, but may help to secure objectivity.
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Gudehus, G. (2011). Psammoids with reversals. In: Physical Soil Mechanics. Advances in Geophysical and Environmental Mechanics and Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-36354-5_4
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