Wu, Wei; Bauer, Erich A simple hypoplastic constitutive model for sand. (English) Zbl 0818.73057 Int. J. Numer. Anal. Methods Geomech. 18, No. 12, 833-862 (1994). The paper presents a hypoplastic constitutive model for the three- dimensional nonlinear stress-strain and dilatant volume change behaviour of sand. Benefitted from the nonlinear tensorial functions available from the representation theorem, the model possesses simple mathematical formulation and contains only four material parameters, which can be easily identified with triaxial compresssion tests. Comparison of the predictions with the experimental results shows that the model is capable of capturing the salient behaviour of sand under monotonic loading and is applicable to both drained and undrained conditions. Cited in 11 Documents MSC: 74L10 Soil and rock mechanics 74A20 Theory of constitutive functions in solid mechanics Keywords:three-dimensional nonlinear stress-strain and dilatant volume change behaviour; nonlinear tensorial functions; representation theorem; four material parameters; monotonic loading PDFBibTeX XMLCite \textit{W. Wu} and \textit{E. Bauer}, Int. J. Numer. Anal. Methods Geomech. 18, No. 12, 833--862 (1994; Zbl 0818.73057) Full Text: DOI References: [1] Roscoe, Géotechnique 8 pp 22– (1958) [2] Lade, Int. j. solids struct. 13 pp 1019– (1977) [3] and , ’Bounding surface formulation of soil plasticity’, in and (eds), Soil Mechanics–Transient and Cyclic Loads, Wiley, Chichester, U.K., 1982, pp. 253-282. 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