Implementation and calibration of a mesoscale model for amorphous plasticity based on shear transformation dynamics

Frederik Van Loock; Laurence Brassart; Thomas Pardoen

doi:10.1016/j.ijplas.2021.103079

Implementation and calibration of a mesoscale model for amorphous plasticity based on shear transformation dynamics

Frederik Van Loock (Corresponding author)
, Laurence Brassart
, Thomas Pardoen

Research output: Contribution to journal › Article › Academic › peer-review

41 Citations (Scopus)

Abstract

A mesoscale numerical model based on shear transformation zone (STZ) theory is implemented in a commercial finite element software. The model is designed to predict the (visco)plastic deformation response of amorphous solids at the nano- and microscale. The theoretical framework relies on earlier models developed by Bulatov and Argon (1994a) and of Homer and Schuh (2009). We justify the potential of the computational model by conducting reference calculations for model metallic and polymeric glasses in plane strain compression. Emphasis is placed on the effect of time and space discretisation on the predicted macroscopic response. The dependence of the predicted yield strength upon the values of the fundamental model parameters is analysed via a mean-field approximation. The mean-field approximation is validated based on a series of simulations in model parameter space. We provide guidelines for a straightforward but consistent parameter identification method via the mean-field approximation while starting from experimental data.

Original language	English
Article number	103079
Number of pages	22
Journal	International Journal of Plasticity
Volume	145
DOIs	https://doi.org/10.1016/j.ijplas.2021.103079
Publication status	Published - Oct 2021
Externally published	Yes

Funding

Computational resources have been provided by the supercomputing facilities of the Université catholique de Louvain (CISM/UCL) and the Consortium des Équipements de Calcul Intensif en Fédération Wallonie Bruxelles (CÉCI) funded by the Fond de la Recherche Scientifique de Belgique (F.R.S.-FNRS) under convention 2.5020.11 and by the Walloon Region. Financial support from the FNRS (Grant PDR – T.0178.19 ) is gratefully acknowledged. The authors thank Dr. Jérémy Chevalier for the fruitful discussions and the technical assistance on the use of the code.

Funders
Université catholique de Louvain

Keywords

B. Glass material
B. Polymeric material
C. Elastic-plastic material
D. Finite elements
Shear transformation zone (STZ)

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10.1016/j.ijplas.2021.103079

Cite this

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abstract = "A mesoscale numerical model based on shear transformation zone (STZ) theory is implemented in a commercial finite element software. The model is designed to predict the (visco)plastic deformation response of amorphous solids at the nano- and microscale. The theoretical framework relies on earlier models developed by Bulatov and Argon (1994a) and of Homer and Schuh (2009). We justify the potential of the computational model by conducting reference calculations for model metallic and polymeric glasses in plane strain compression. Emphasis is placed on the effect of time and space discretisation on the predicted macroscopic response. The dependence of the predicted yield strength upon the values of the fundamental model parameters is analysed via a mean-field approximation. The mean-field approximation is validated based on a series of simulations in model parameter space. We provide guidelines for a straightforward but consistent parameter identification method via the mean-field approximation while starting from experimental data.",

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AU - Van Loock, Frederik

AU - Brassart, Laurence

AU - Pardoen, Thomas

PY - 2021/10

Y1 - 2021/10

N2 - A mesoscale numerical model based on shear transformation zone (STZ) theory is implemented in a commercial finite element software. The model is designed to predict the (visco)plastic deformation response of amorphous solids at the nano- and microscale. The theoretical framework relies on earlier models developed by Bulatov and Argon (1994a) and of Homer and Schuh (2009). We justify the potential of the computational model by conducting reference calculations for model metallic and polymeric glasses in plane strain compression. Emphasis is placed on the effect of time and space discretisation on the predicted macroscopic response. The dependence of the predicted yield strength upon the values of the fundamental model parameters is analysed via a mean-field approximation. The mean-field approximation is validated based on a series of simulations in model parameter space. We provide guidelines for a straightforward but consistent parameter identification method via the mean-field approximation while starting from experimental data.

AB - A mesoscale numerical model based on shear transformation zone (STZ) theory is implemented in a commercial finite element software. The model is designed to predict the (visco)plastic deformation response of amorphous solids at the nano- and microscale. The theoretical framework relies on earlier models developed by Bulatov and Argon (1994a) and of Homer and Schuh (2009). We justify the potential of the computational model by conducting reference calculations for model metallic and polymeric glasses in plane strain compression. Emphasis is placed on the effect of time and space discretisation on the predicted macroscopic response. The dependence of the predicted yield strength upon the values of the fundamental model parameters is analysed via a mean-field approximation. The mean-field approximation is validated based on a series of simulations in model parameter space. We provide guidelines for a straightforward but consistent parameter identification method via the mean-field approximation while starting from experimental data.

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KW - B. Polymeric material

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KW - D. Finite elements

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DO - 10.1016/j.ijplas.2021.103079

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VL - 145

JO - International Journal of Plasticity

JF - International Journal of Plasticity

M1 - 103079

ER -

Implementation and calibration of a mesoscale model for amorphous plasticity based on shear transformation dynamics

Abstract

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Keywords

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