On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils

A. Golchin; Philip J. Vardon; Michael A. Hicks; William M. Coombs; I. A. Pantev

doi:10.1007/978-3-030-64514-4_40

On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils

A. Golchin^*, Philip J. Vardon, Michael A. Hicks, William M. Coombs, I. A. Pantev

^*Corresponding author for this work

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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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.

Original language	English
Title of host publication	Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1
Editors	Marco Barla, Alice Di Donna, Donatella Sterpi
Place of Publication	Cham
Publisher	Springer
Pages	422-429
Number of pages	8
ISBN (Electronic)	9783030645144
ISBN (Print)	9783030645137
DOIs	https://doi.org/10.1007/978-3-030-64514-4_40
Publication status	Published - 2021
Event	16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021 - Turin, Italy Duration: 5 May 2021 → 8 May 2021

Publication series

Name	Lecture Notes in Civil Engineering
Volume	125
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021
Country/Territory	Italy
City	Turin
Period	5/05/21 → 8/05/21

Bibliographical note

Green Open Access added to TU Delft Institutional Repository ‘You share, we take care!’ – Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.

Keywords

Gibbs free energy
Hyperplasticity
Implicit integration
Thermomechanical model

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Golchin, A., Vardon, P. J., Hicks, M. A., Coombs, W. M., & Pantev, I. A. (2021). On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. In M. Barla, A. Di Donna, & D. Sterpi (Eds.), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1 (pp. 422-429). (Lecture Notes in Civil Engineering; Vol. 125). Springer. https://doi.org/10.1007/978-3-030-64514-4_40

Golchin, A. ; Vardon, Philip J. ; Hicks, Michael A. et al. / On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1. editor / Marco Barla ; Alice Di Donna ; Donatella Sterpi. Cham : Springer, 2021. pp. 422-429 (Lecture Notes in Civil Engineering).

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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.",

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Golchin, A , Vardon, PJ , Hicks, MA, Coombs, WM & Pantev, IA 2021, On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. in M Barla, A Di Donna & D Sterpi (eds), Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1. Lecture Notes in Civil Engineering, vol. 125, Springer, Cham, pp. 422-429, 16th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2021, Turin, Italy, 5/05/21. https://doi.org/10.1007/978-3-030-64514-4_40

On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. / Golchin, A.; Vardon, Philip J.; Hicks, Michael A. et al.
Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1. ed. / Marco Barla; Alice Di Donna; Donatella Sterpi. Cham: Springer, 2021. p. 422-429 (Lecture Notes in Civil Engineering; Vol. 125).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

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Golchin A , Vardon PJ , Hicks MA, Coombs WM, Pantev IA. On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils. In Barla M, Di Donna A, Sterpi D, editors, Challenges and Innovations in Geomechanics - Proceedings of the 16th International Conference of IACMAG - Volume 1. Cham: Springer. 2021. p. 422-429. (Lecture Notes in Civil Engineering). doi: 10.1007/978-3-030-64514-4_40

On the Numerical Implementation of a Thermomechanical Hyperplasticity Model for Fine-Grained Soils

Abstract

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Bibliographical note

Keywords

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