Abstract
The numerical implementation of a recently developed thermomechanical constitutive model for fine-grained soils based on hyperelasticity-hyperplasticity theory (Golchin et al. 2020), is presented. A new unconventional implicit stress return mapping algorithm, compatible with elasticity derived from Gibbs (complementary) energy potential, in strain invariant space, is designed and the consistent tangent operator for use in boundary value problems (such as in the finite element method) is derived. It is shown that the rate of convergence of the stress integration algorithm is quadratic. The numerical results are in good agreement with available data from thermomechanical element tests found in literature.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Anandarajah, A.: Computational Methods in Elasticity and Plasticity. Springer, New York (2010)
Borja, R.I.: Plasticity, Modeling and Computation. Springer, Heidelberg (2013)
Collins, I.F., Houlsby, G.T.: Application of thermomechanical principles to the modelling of geomaterials. Proc. Math. Phys. Eng. Sci. JSTOR 453, 1975 (2001)
Coombs, W.M., Crouch, R.S.: Algorithmic issues for three-invariant hyperplastic critical state models. Comput. Methods Appl. Mech. Eng. 200(25–28), 2297–2318 (2011)
Coombs, W.M., Crouch, R.S., Augarde, C.E.: A unique critical state two-surface hyperplasticity model for fine-grained particulate media. J. Mech. Phys. Solids 61(1), 175–189 (2013)
Ghahremannejad, B.: Thermo-mechanical behaviour of two reconstituted clays. Ph.D. thesis, University of Sydney (2003)
Golchin, A., Vardon, P.J., Hicks, M.A.: A thermo-mechanical constitutive model for fine-grained soils based on thermodynamics. (2020, Submitted for publication)
Scalet, G., Auricchio, F.: Computational methods for elastoplasticity: an overview of conventional and less-conventional approaches. Arch. Comput. Methods Eng. 25(3), 545–589 (2018)
Semnani, S.J., White, J.A., Borja, R.I.: Thermoplasticity and strain localization in transversely isotropic materials based on anisotropic critical state plasticity. Int. J. Numer. Anal. Methods Geomech. 40(18), 2423–2449 (2016)
Acknowledgements
The support of the Netherlands Organisation for Scientific Research (NWO) through the project number 14698 is acknowledged.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this paper
Cite this paper
Golchin, A., Vardon, P.J., Hicks, M.A., Coombs, W.M., Pantev, I. (2021). On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. In: Barla, M., Di Donna, A., Sterpi, D. (eds) Challenges and Innovations in Geomechanics. IACMAG 2021. Lecture Notes in Civil Engineering, vol 125. Springer, Cham. https://doi.org/10.1007/978-3-030-64514-4_40
Download citation
DOI: https://doi.org/10.1007/978-3-030-64514-4_40
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-64513-7
Online ISBN: 978-3-030-64514-4
eBook Packages: EngineeringEngineering (R0)