Abstract
Behaviour of soils under small cycles is examined in the triaxial apparatus and the results are used for the calibration of several constitutive relations. The small strain relation is not exactly linear and stiffness \( E_{ijkl}\) in \(\dot{\sigma _{ij}}= E_{ijkl}\dot{\varepsilon _{kl}}\) is not constant. The popular hypoplastic (HP) model describes the small strain behaviour using the intergranular strain (Niemunis, Herle, Mech Cohesive-Frictional Mater 2(4):279–299 1997). However, this idea with an additional strain has several shortcomings. A better approach is the paraelastic (PE) model (Niemunis et al, Acta Geotech 6(2):67–80 2011; Prada Sarmiento, Paraelastic description of small-strain soil behaivour 2012). In this study the paraelasticity has been used already while evaluating of the raw data from triaxial test results. Similarly a simplified high cycle accumulation (HCA) formula (Niemunis et al, Comput Geotech 32(4):245–263 2005) and a simple assumption of stress dependence of \( E_{ijkl}\) have been used to purify the measured test data. A general curve-fitting strategy for testing of different constitutive models is developed. Some shortcomings of PE and HCA could be observed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
It is common to consider that the form of response-envelope is an ellipse, but in general it is not.
- 2.
Some authors require also the convexity of response-envelopes, but the necessity of this condition is not proven.
References
Espino, E.: Quasi-statische Untersuchungen zur Elastizität von Sand als Grundlage eines neuen hypoplastischen Stoffmodells. Master’s thesis, Institut für Boden- und Felsmechanik, Karlsruher Institut für Technologie, Mai (2014)
Gudehus, G.: A comparison of some constitutive laws for soils under radially symmetric loading and unloading. In: Proceedings of the 3rd International Conference on Numerical Methods in Geomechanics, Aachen, Aachen, 1979. Balkema
Hettler, A., Danne, St.: Strain response envelopes for low cycle loading pro-cesses. In: International Conference on Soil Mechanics and Geotechnical Engineering, Paris, vol. 2, pp. 1491–1494 (2013)
Lewin, P.I., Burland, J.B.: Stress-probe experiments on saturated normally consolidated clay. Géotechnique 20, 38–56 (1970)
Niemunis, A.: Extended hypoplastic models for soils. Politechnika Gdańska, 2003. Habilitation, Monografia 34
Niemunis, A., Herle, I.: Hypoplastic model for cohesionless soils with elastic strain range. Mech. Cohesive-Frictional Mater. 2(4), 279–299 (1997)
Niemunis, A., Prada-Sarmiento, L.F., Grandas-Tavera, C.E.: Paraelasticity. Acta Geotech. 6(2), 67–80 (2011)
Niemunis, A., Wichtmann, T., Triantafyllidis, T.: A high-cycle accumulation model for sand. Comput. Geotech. 32(4), 245–263 (2005)
Prada Sarmiento, L.F.: Paraelastic description of small-strain soil behaivour. PhD thesis, IBF, Karlsruher Institut für Technologie, Nr. 173 (2012)
Sachs, L.: Angewandte Statistik. Anwendung statistischer Methoden. Springer, New York (1996)
Wichtmann, T.: Explicit accumulation model for non-cohesive soils under cyclic loading. PhD thesis, Ruhr-University Bochum, Heft 38 (2005)
Acknowledgments
The authors are grateful to the M. Sc. E. Espino Cedro for his careful experimental work and provision of interesting test data used in this paper. The authors acknowledge financial support of SP1, DFG FOR1136.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Loges, I., Niemunis, A. (2015). Neohypoplasticity—Estimation of Small Strain Stiffness. In: Triantafyllidis, T. (eds) Holistic Simulation of Geotechnical Installation Processes. Lecture Notes in Applied and Computational Mechanics, vol 77. Springer, Cham. https://doi.org/10.1007/978-3-319-18170-7_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-18170-7_9
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-18169-1
Online ISBN: 978-3-319-18170-7
eBook Packages: EngineeringEngineering (R0)