Implementing Dynamic Boundary Conditions with the Material Point Method

Phuong Chinh Do; Philip J. Vardon; José León González Acosta; Michael A. Hicks

doi:10.1007/978-3-031-12851-6_27

Implementing Dynamic Boundary Conditions with the Material Point Method

Phuong Chinh Do, Philip J. Vardon^*, José León González Acosta, Michael A. Hicks

^*Corresponding author for this work

Geo-engineering

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

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Abstract

The material point method (MPM) is gaining an increasing amount of attention due to its capacity to solve geotechnical problems involving large deformations. Large deformations in geotechnics usually involve the failure process and therefore dynamic analyses are often carried out. However, simulating the (infinite) continuous domain using typical Dirichlet (fixed) boundary conditions induces spurious reflections, causing (1) unrealistic stress increments at the domain boundary and (2) the appearance of multiple unnatural stress waves in the domain. Aiming to eliminate this numerical artifact in MPM, two solutions for absorbing boundary conditions found in FEM are implemented and investigated; these are (1) a viscous boundary condition and (2) a viscoelastic boundary condition. The use of such dynamic boundary conditions in MPM is scarce and no validation of them has yet been presented in the literature. In this paper, these absorbing conditions are implemented alongside recent mapping and integration techniques, improving numerical stability and accuracy.

Original language	English
Title of host publication	Challenges and Innovations in Geomechanics
Subtitle of host publication	Proceedings of the 16th International Conference of IACMAG
Editors	Marco Barla, Alessandra Insana, Alice Di Donna, Donatella Sterpi
Publisher	Springer
Pages	221-228
Number of pages	8
ISBN (Print)	9783031128509
DOIs	https://doi.org/10.1007/978-3-031-12851-6_27
Publication status	Published - 2023
Event	6th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2022 - Turin, Italy Duration: 30 Aug 2022 → 2 Sept 2022

Publication series

Name	Lecture Notes in Civil Engineering
Volume	288 LNCE
ISSN (Print)	2366-2557
ISSN (Electronic)	2366-2565

Conference

Conference	6th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2022
Country/Territory	Italy
City	Turin
Period	30/08/22 → 2/09/22

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

Double mapping–generalized composite MPM
Dynamic boundaries
Implicit MPM
Shallow foundation
Wave propagation

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10.1007/978-3-031-12851-6_27

Phuong et alFinal published version, 1.03 MB

Cite this

Do, P. C., Vardon, P. J., González Acosta, J. L., & Hicks, M. A. (2023). Implementing Dynamic Boundary Conditions with the Material Point Method. In M. Barla, A. Insana, A. Di Donna, & D. Sterpi (Eds.), Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG (pp. 221-228). (Lecture Notes in Civil Engineering; Vol. 288 LNCE). Springer. https://doi.org/10.1007/978-3-031-12851-6_27

Do, Phuong Chinh ; Vardon, Philip J. ; González Acosta, José León et al. / Implementing Dynamic Boundary Conditions with the Material Point Method. Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG. editor / Marco Barla ; Alessandra Insana ; Alice Di Donna ; Donatella Sterpi. Springer, 2023. pp. 221-228 (Lecture Notes in Civil Engineering).

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abstract = "The material point method (MPM) is gaining an increasing amount of attention due to its capacity to solve geotechnical problems involving large deformations. Large deformations in geotechnics usually involve the failure process and therefore dynamic analyses are often carried out. However, simulating the (infinite) continuous domain using typical Dirichlet (fixed) boundary conditions induces spurious reflections, causing (1) unrealistic stress increments at the domain boundary and (2) the appearance of multiple unnatural stress waves in the domain. Aiming to eliminate this numerical artifact in MPM, two solutions for absorbing boundary conditions found in FEM are implemented and investigated; these are (1) a viscous boundary condition and (2) a viscoelastic boundary condition. The use of such dynamic boundary conditions in MPM is scarce and no validation of them has yet been presented in the literature. In this paper, these absorbing conditions are implemented alongside recent mapping and integration techniques, improving numerical stability and accuracy.",

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author = "Do, {Phuong Chinh} and Vardon, {Philip J.} and {Gonz{\'a}lez Acosta}, {Jos{\'e} Le{\'o}n} and Hicks, {Michael A.}",

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.; 6th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2022 ; Conference date: 30-08-2022 Through 02-09-2022",

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doi = "10.1007/978-3-031-12851-6_27",

language = "English",

isbn = "9783031128509",

series = "Lecture Notes in Civil Engineering",

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Do, PC, Vardon, PJ , González Acosta, JL & Hicks, MA 2023, Implementing Dynamic Boundary Conditions with the Material Point Method. in M Barla, A Insana, A Di Donna & D Sterpi (eds), Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG. Lecture Notes in Civil Engineering, vol. 288 LNCE, Springer, pp. 221-228, 6th International Conference of the International Association for Computer Methods and Advances in Geomechanics, IACMAG 2022, Turin, Italy, 30/08/22. https://doi.org/10.1007/978-3-031-12851-6_27

Implementing Dynamic Boundary Conditions with the Material Point Method. / Do, Phuong Chinh; Vardon, Philip J.; González Acosta, José León et al.
Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG. ed. / Marco Barla; Alessandra Insana; Alice Di Donna; Donatella Sterpi. Springer, 2023. p. 221-228 (Lecture Notes in Civil Engineering; Vol. 288 LNCE).

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

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T1 - Implementing Dynamic Boundary Conditions with the Material Point Method

AU - Do, Phuong Chinh

AU - Vardon, Philip J.

AU - González Acosta, José León

AU - Hicks, Michael A.

N1 - 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.

PY - 2023

Y1 - 2023

N2 - The material point method (MPM) is gaining an increasing amount of attention due to its capacity to solve geotechnical problems involving large deformations. Large deformations in geotechnics usually involve the failure process and therefore dynamic analyses are often carried out. However, simulating the (infinite) continuous domain using typical Dirichlet (fixed) boundary conditions induces spurious reflections, causing (1) unrealistic stress increments at the domain boundary and (2) the appearance of multiple unnatural stress waves in the domain. Aiming to eliminate this numerical artifact in MPM, two solutions for absorbing boundary conditions found in FEM are implemented and investigated; these are (1) a viscous boundary condition and (2) a viscoelastic boundary condition. The use of such dynamic boundary conditions in MPM is scarce and no validation of them has yet been presented in the literature. In this paper, these absorbing conditions are implemented alongside recent mapping and integration techniques, improving numerical stability and accuracy.

AB - The material point method (MPM) is gaining an increasing amount of attention due to its capacity to solve geotechnical problems involving large deformations. Large deformations in geotechnics usually involve the failure process and therefore dynamic analyses are often carried out. However, simulating the (infinite) continuous domain using typical Dirichlet (fixed) boundary conditions induces spurious reflections, causing (1) unrealistic stress increments at the domain boundary and (2) the appearance of multiple unnatural stress waves in the domain. Aiming to eliminate this numerical artifact in MPM, two solutions for absorbing boundary conditions found in FEM are implemented and investigated; these are (1) a viscous boundary condition and (2) a viscoelastic boundary condition. The use of such dynamic boundary conditions in MPM is scarce and no validation of them has yet been presented in the literature. In this paper, these absorbing conditions are implemented alongside recent mapping and integration techniques, improving numerical stability and accuracy.

KW - Double mapping–generalized composite MPM

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KW - Implicit MPM

KW - Shallow foundation

KW - Wave propagation

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SN - 9783031128509

T3 - Lecture Notes in Civil Engineering

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EP - 228

BT - Challenges and Innovations in Geomechanics

A2 - Barla, Marco

A2 - Insana, Alessandra

A2 - Di Donna, Alice

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Do PC, Vardon PJ , González Acosta JL , Hicks MA. Implementing Dynamic Boundary Conditions with the Material Point Method. In Barla M, Insana A, Di Donna A, Sterpi D, editors, Challenges and Innovations in Geomechanics: Proceedings of the 16th International Conference of IACMAG. Springer. 2023. p. 221-228. (Lecture Notes in Civil Engineering). doi: 10.1007/978-3-031-12851-6_27

Implementing Dynamic Boundary Conditions with the Material Point Method

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