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- W2186989462 abstract "The purpose of this paper is to introduce some mathematical techniques which prove to be valuable in the constitutive modelling of soils. All the developments are related to an approach to constitutive modelling called hyperplasticity, in which strong emphasis is placed on the derivation of the entire behaviour of a material from two scalar potentials. Hyperplasticity includes all sufficient conditions to satisfy the laws of thermodynamics, but some conditions are not strictly necessary: they embody a slightly stricter statement than the second law. In this paper this issue is not addressed, but instead some simple models are developed to illustrate the hyperplastic approach. It is left for the reader to judge whether these models are valuable in representing real material behaviour or whether they are too restrictive. The hyperplasticity approach has its roots in the work of Ziegler, and also has much in common with much of the French work in plasticity theory, where the concept of “standard materials” is employed. Much of what is presented here is not new, but represents application of existing mathematical techniques in areas of geotechnics where they are not currently employed." @default.
- W2186989462 created "2016-06-24" @default.
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- W2186989462 date "2003-01-01" @default.
- W2186989462 modified "2023-09-27" @default.
- W2186989462 title "Some mathematics for the constitutive modelling of soils" @default.
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- W2186989462 doi "https://doi.org/10.1007/978-3-540-45079-5_2" @default.
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