Correlation of fabric parameters and characteristic features of granular material behaviour in DEM in constitutive modelling
Date
2024
Authors
Khayyer, F.
Rahman, M.M.
Karim, M.R.
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Advisors
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Journal article
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Acta Geotechnica, 2024; 19(10):6711-6729
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Abstract
<jats:title>Abstract</jats:title><jats:p>The anisotropic microstructure of granular materials has a profound effect on their macroscopic behaviour and can be characterised using a fabric tensor. To include of fabric in the critical state theory (CST), anisotropic critical state theory (ACST) was proposed by modifying the state parameter <jats:inline-formula><jats:alternatives><jats:tex-math>$$(\psi )$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>ψ</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula> of CST to a fabric-dependent dilatancy state parameter <jats:inline-formula><jats:alternatives><jats:tex-math>$$(\upzeta )$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mi>ζ</mml:mi>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:math></jats:alternatives></jats:inline-formula>. Noteworthy that <jats:inline-formula><jats:alternatives><jats:tex-math>$$\uppsi$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ψ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> showed a very strong correlation with characteristic features (e.g. instability, phase transformation and characteristic state) of macroscopic behaviour and, as a result, it has been adopted in many constitutive models. While <jats:inline-formula><jats:alternatives><jats:tex-math>$$\upzeta$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ζ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> aided the inclusion of fabric in ACST models, the correlation between <jats:inline-formula><jats:alternatives><jats:tex-math>$$\upzeta$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ζ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> and characteristic features has not been evaluated in detail yet, although a large number of works are found on micromechanics and fabric only. In this study, a large number of discrete element method simulations for drained and undrained triaxial were conducted to evaluate the correlation between <jats:inline-formula><jats:alternatives><jats:tex-math>$$\upzeta$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ζ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> and characteristic features. To this purpose, the correlation between stress ratio and both classic and dilatancy state parameter (<jats:inline-formula><jats:alternatives><jats:tex-math>$$\psi$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ψ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> and <jats:inline-formula><jats:alternatives><jats:tex-math>$$\upzeta$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ζ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula>) were studied in important characteristic features (e.g. instability, phase transformation and characteristic state). It was found that this correlation was improved using <jats:inline-formula><jats:alternatives><jats:tex-math>$$\upzeta$$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>ζ</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> which might be due to the inclusion of fabric in our model. This observation is new and significant for inclusion of fabric evolution in constitutive modelling.</jats:p>
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Data source: Additional information, https://link.springer.com/article/10.1007/s11440-024-02333-9#additional-information
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