Abstract
Basic notions of convex analysis required for the generalization of constitutive relationships of uniaxial deformation of granular materials to the spatial case are considered. Proofs of some theorems from subdifferential calculus and duality theory which are used below in the study of models of the spatial stress-strain state are presented.
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Sadovskaya, O., Sadovskii, V. (2012). Mathematical Apparatus. In: Mathematical Modeling in Mechanics of Granular Materials. Advanced Structured Materials, vol 21. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29053-4_3
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DOI: https://doi.org/10.1007/978-3-642-29053-4_3
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