Abstract
This paper is mainly a review of known and proved results about boundary value problems involving hypoplastic models. In order to carry out this task, boundary value problems are first classified. Uniqueness (and existence) theorems are recalled and relations with the so called second order work criterion are studied. A complete shear band localization analysis is given and considered as a special case of non uniqueness of some boundary value problems. Similarly, invertibility and controlability are studied from the same point of view. Finally a general overview of all these results is given.
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Chambon, R. (2000). Uniqueness, second order work and bifurcation in hypoplasticity. In: Kolymbas, D. (eds) Constitutive Modelling of Granular Materials. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-57018-6_6
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DOI: https://doi.org/10.1007/978-3-642-57018-6_6
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