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Bayesian approach for probabilistic-based characterization of the shear stiffness–deflection curves of adhesive particle contacts.

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Title: Bayesian approach for probabilistic-based characterization of the shear stiffness–deflection curves of adhesive particle contacts.
Authors: Nallala, Sarath C. R.1 (AUTHOR), Senetakis, Kostas2 (AUTHOR) ksenetak@cityu.edu.hk, Wang, Yu3 (AUTHOR)
Source: Acta Geotechnica. May2025, Vol. 20 Issue 5, p2395-2420. 26p.
Subjects: Soil cement, Materials analysis, Coulomb friction, Geological modeling, Multiscale modeling
Abstract: The assessment of shear stiffness characteristics at the contact of particles is important in multi-scale modeling of geological materials and other problems involving powders and grains. Generally speaking, the Mindlin–Deresiewicz model is very often used to fit the shear load–deflection response curves for non-conforming contacts; however, this model does not provide an accurate fitting for coated or partially cemented sand grains. These materials displace a significant variation in their mechanical and morphological features resulting in scattered roughness profiles and micromechanical response. This brings high uncertainty in the assessment of their shear load–deflection behavior, as previous studies have shown a difficulty to clearly define a steady-state response (based on Coulomb's friction criteria) which is the theoretical basis for the Mindlin–Deresiewicz model. Therefore, we propose in this work, a novel Bayesian-based probabilistic approach to analyze and select the best suitable model among three modified hyperbolic models to fit the shear load–deflection curves for coated or partially cemented grains. For this purpose, the shear load–deflection response of the contacting grains is presented in terms of secant stiffness curves. An objective procedure was followed to optimize and select the most appropriate analytical model for the given dataset analyzed in the study. [ABSTRACT FROM AUTHOR]
Copyright of Acta Geotechnica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Bayesian approach for probabilistic-based characterization of the shear stiffness–deflection curves of adhesive particle contacts.
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  Data: <searchLink fieldCode="AR" term="%22Nallala%2C+Sarath+C%2E+R%2E%22">Nallala, Sarath C. R.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Senetakis%2C+Kostas%22">Senetakis, Kostas</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> ksenetak@cityu.edu.hk</i><br /><searchLink fieldCode="AR" term="%22Wang%2C+Yu%22">Wang, Yu</searchLink><relatesTo>3</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Acta+Geotechnica%22">Acta Geotechnica</searchLink>. May2025, Vol. 20 Issue 5, p2395-2420. 26p.
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  Data: <searchLink fieldCode="DE" term="%22Soil+cement%22">Soil cement</searchLink><br /><searchLink fieldCode="DE" term="%22Materials+analysis%22">Materials analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Coulomb+friction%22">Coulomb friction</searchLink><br /><searchLink fieldCode="DE" term="%22Geological+modeling%22">Geological modeling</searchLink><br /><searchLink fieldCode="DE" term="%22Multiscale+modeling%22">Multiscale modeling</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: The assessment of shear stiffness characteristics at the contact of particles is important in multi-scale modeling of geological materials and other problems involving powders and grains. Generally speaking, the Mindlin–Deresiewicz model is very often used to fit the shear load–deflection response curves for non-conforming contacts; however, this model does not provide an accurate fitting for coated or partially cemented sand grains. These materials displace a significant variation in their mechanical and morphological features resulting in scattered roughness profiles and micromechanical response. This brings high uncertainty in the assessment of their shear load–deflection behavior, as previous studies have shown a difficulty to clearly define a steady-state response (based on Coulomb's friction criteria) which is the theoretical basis for the Mindlin–Deresiewicz model. Therefore, we propose in this work, a novel Bayesian-based probabilistic approach to analyze and select the best suitable model among three modified hyperbolic models to fit the shear load–deflection curves for coated or partially cemented grains. For this purpose, the shear load–deflection response of the contacting grains is presented in terms of secant stiffness curves. An objective procedure was followed to optimize and select the most appropriate analytical model for the given dataset analyzed in the study. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Acta Geotechnica is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s11440-024-02504-8
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      – Code: eng
        Text: English
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        Type: general
      – SubjectFull: Materials analysis
        Type: general
      – SubjectFull: Coulomb friction
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      – SubjectFull: Geological modeling
        Type: general
      – SubjectFull: Multiscale modeling
        Type: general
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      – TitleFull: Bayesian approach for probabilistic-based characterization of the shear stiffness–deflection curves of adhesive particle contacts.
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            – D: 01
              M: 05
              Text: May2025
              Type: published
              Y: 2025
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