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Micro-mechanical analysis of residual stresses in cohesive-frictional particulate materials under moving surface loads

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Abstract

This study focuses on the build-up of residual stresses of cohesive-frictional materials under moving surface loads, and corresponding micromechanisms are studied in particle scales using discrete element methods. The numerical procedure is validated with macroscopic residual stresses obtained by experimental tests and finite element methods. It is found that residual stresses are dominated by normal contact and normal bond forces, and strong force chains make a leading contribution to build-ups of residual stresses. A further study indicates that the increase of averaged interparticle forces is a critical factor to growths of residual stresses, which is generally accompanied with decreased proportions of contacts carrying small forces. Simultaneously, the averaged magnitude of interparticle forces belonging to single orientations generally grows with developments of residual stresses, and for resultant forces it distributes almost isotropically. Nevertheless, because of gradual developments of residual stresses, macroscopic stress fields should be anisotropic, which is subsequently validated to be dominated by the fabric anisotropy.

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References

  1. Yu HS (2006) Plasticity and geotechnics. Springer, Cham

    Google Scholar 

  2. Brown SF, Yu HS, Juspi S et al (2012) Validation experiments for lower-bound shakedown theory applied to layered pavement systems. Géotechnique 62(10):923–932

    Article  Google Scholar 

  3. Mo P, Wang J (2020) Shakedown analysis of cavities in cohesive-frictional materials and its application to underground energy storage caverns. Soils Found 60(1):77–89

    Article  Google Scholar 

  4. Qian J, Dai Y, Huang M (2020) Dynamic shakedown analysis of two-layered pavement under rolling-sliding contact. Soil Dyn Ear Eng 129:10598

    Google Scholar 

  5. Yu HS, Wang J (2012) Three-dimensional shakedown solutions for cohesive-frictional materials under moving surface loads. Int J Sol Struct 49(26):3797–3807

    Article  Google Scholar 

  6. Wang J, Yu HS (2014) Three-dimensional shakedown solutions for anisotropic cohesive-frictional materials under moving surface loads. Numer Analyt Meth Geomech 38(4):331–348

    Article  MathSciNet  Google Scholar 

  7. Wang J, Yu HS (2021) Shakedown analysis and its application in pavement and railway engineering. Comput Geotech 138

  8. Radovsky BS, Murashina NV (1996) Shakedown of subgrade soil under repeated loading. Transport Res Rec 1547:82–88

    Article  Google Scholar 

  9. Merwin JE, Johnson KL (1963) An analysis of plastic deformation in rolling contact. P I Mech Eng 177:676–690

    Google Scholar 

  10. Jiang Y, Sehitoglu H (1994) An analytical approach to elasticplastic stress analysis of rolling contact. J Tribol 116:577–587

    Article  Google Scholar 

  11. Xu B, Jiang Y (2002) Elastic–plastic finite element analysis of partial slip rolling contact. J Tribol 124(1):20–26

    Article  Google Scholar 

  12. Yu HS (2005) Three-dimensional analytical solutions for shakedown of cohesive-frictional materials under moving surface loads. Proc R Soc A Math Phys Eng Sci 461(2059):1951–1964

    MathSciNet  Google Scholar 

  13. Wang J, Yu HS (2013) Residual stresses and shakedown in cohesive-frictional half-space under moving surface loads. Geomech Geoeng 8(1):1–14

    Article  Google Scholar 

  14. Wang J, Yu HS (2013) Shakedown analysis for design of flexible pavements under moving loads. Road Mater Pavement Des 14(3):703–722

    Article  MathSciNet  Google Scholar 

  15. Wang J, Liu S, Yang W (2018) Dynamics shakedown analysis of slab track substructures with reference to critical speed. Soil Dyn Ear Eng 106:1–13

    Article  Google Scholar 

  16. Wang J, Yu HS (2023) Direct methods for limit state of materials and structures. Springer, Cham

    Google Scholar 

  17. Tang X, Wang J (2022) A general shakedown approach for geo-structures under cyclic loading using Abaqus/Python. Acta Geotech 17:5773–5788

    Article  Google Scholar 

  18. Itasca, (2004) Particle flow code in two dimensions. User Man., Itasca Consult. Gr. Inc, Minn, Softw

  19. Zhang T, Zhang C, Yang Q, et al (2020) Inter-particle friction and particle sphericity effects on isotropic compression behavior in real-shaped sand assemblies. Comput Geotech 126

  20. Xia P, Shao L, Deng W (2021) Mechanism study of the evolution of quasi-elasticity of granular soil during cyclic loading. Granul Matter 23(4):84

    Article  Google Scholar 

  21. Yi X, Chen H, Wang H et al (2021) Cross-functional test to explore the determination method of meso-parameters in the discrete element model of asphalt mixtures. Materials 14(19):5786

    Article  Google Scholar 

  22. Huang P, Pan X, Niu Y et al (2022) Concrete failure simulation method based on discrete element method. Eng Fail Anal 139:106505

    Article  Google Scholar 

  23. Zhou J, Zheng M, Zhan Q et al (2023) Discrete element modelling of the uniaxial compression behavior of pervious concrete. Case Stud Constr Mat 18:e01937

    Google Scholar 

  24. Croney D, Croney P (1991) The design and performance of road pavements (2nd edition). McGraw-Hill Professional

  25. Wang J (2011) Shakedown analysis and design of flexible road pavements under moving surface loads. PhD thesis, University of Nottingham, UK

  26. AASHTO (1993) AASHTO Guide for Design of Pavement Structures. American association of state highway and transportation officials, Wash., D.C

  27. Voivret C, Radja F, Delenne JY et al (2009) Multiscale force network in highly polydisperse granular media. Phys Rev Lett 102(17):178001

    Article  Google Scholar 

  28. Xu D, Tang Z, Zhang L (2019) Interpretation of coarse effect in simple shear behavior of binary sand-gravel mixture by dem with authentic particle shape. Constr Build Mater 195:292–304

    Article  Google Scholar 

  29. Ren J, Xu Y, Huang J et al (2021) Gradation optimization and strength mechanism of aggregate structure considering macroscopic and mesoscopic aggregate mechanical behaviour in porous asphalt mixture. Constr Build Mater 300:124262

    Article  Google Scholar 

  30. AlShareedah O, Nassiri S (2021) Spherical discrete element model for estimating the hydraulic conductivity and pore clogging of pervious concrete. Constr Build Mater 305:124749

    Article  Google Scholar 

  31. Wang YH, Leung SC (2008) A particulate-scale investigation of cemented sand behavior. Can Geotech J 45(1):29–44

    Article  Google Scholar 

  32. Jiang MJ, Yan HB, Zhu HH et al (2011) Modeling shear behavior and strain localization in cemented sands by two-dimensional distinct element method analyses. Comput Geotech 38:14–29

    Article  Google Scholar 

  33. Guo N, Zhao J (2013) The signature of shear-induced anisotropy in granular media. Comput Geotech 47:1–15

    Article  MathSciNet  Google Scholar 

  34. Wei J (2021) Dem exploration of confining stress effect in cyclic liquefaction of granular soils. Comput Geotech 136:104214

    Article  Google Scholar 

  35. Thornton C (2000) Numerical simulations of deviatoric shear deformation of granular media. Géotechnique 50(1):43–53

    Article  Google Scholar 

  36. Li T, Jiang M, Li L (2021) Dem analysis of mechanical behavior of unsaturated silt under strain-controlled constant stress ratio compression tests. Int J Geomech 21(10):04021197

    Article  Google Scholar 

  37. Radjai F, Jean M, Moreau JJ et al (1996) Force distributions in dense two-dimensional granular systems. Phys Rev Lett 77(2):274–277

    Article  Google Scholar 

  38. Chen Q, Gao Y, Yuan Q et al (2022) The correlation of macro deformation and micro kinematics for dense granular material subjected to shearing. Comput Geotech 141:104523

    Article  Google Scholar 

  39. Gao Y, Chen Q, Yuan Q et al (2023) The kinematics and micro mechanism of creep in sand based on dem simulations. Comput Geotech 2022:153

    Google Scholar 

  40. Gan JQ, Zhou ZY, Yu AB (2017) Interparticle force analysis on the packing of fine ellipsoids. Powder Technol

  41. Pouranian MR, Shishehbor M, Haddock JE (2020) Impact of the coarse aggregate shape parameters on compaction characteristics of asphalt mixtures. Powder Technol 363:369–386

    Article  Google Scholar 

  42. Rothenburg L, Bathurst RJ (1989) Analytical study of induced anisotropy in idealized granular materials. Géotechnique 39(4):601–614

    Article  Google Scholar 

  43. Li L, Marteau E, Andrade JE (2019) Capturing the inter-particle force distribution in granular material using ls-dem. Granul Matter 21(3):1–6

    Article  Google Scholar 

  44. Wu M, Wang J (2021) Estimating contact force chains using artificial neural network. Appl Sci Basel 11(14):6278

    Article  Google Scholar 

  45. Dorostkar O, Mirghasemi AA (2018) On the micromechanics of true triaxial test, insights from 3D DEM study. IJST-T Civ Eng 42(3):259–273

    Google Scholar 

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Authors and Affiliations

  1. School of Civil Engineering, Henan Polytechnic University, Jiaozuo, 454003, China

    Wei Cai & Ping Xu

  2. Civil and Environmental engineering, University of Wisconsin-Madison, Madison, USA

    Runhua Zhang

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  1. Wei Cai
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  2. Ping Xu
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  3. Runhua Zhang
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Correspondence to Ping Xu.

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Cai, W., Xu, P. & Zhang, R. Micro-mechanical analysis of residual stresses in cohesive-frictional particulate materials under moving surface loads. Comp. Part. Mech. (2024). https://doi.org/10.1007/s40571-024-00740-z

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  • DOI: https://doi.org/10.1007/s40571-024-00740-z

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