The method of numerical analysis of the behavior of drained sands in monotonic loading
Farzad Peyman
1
(
Department of Civil Engineering, QazvinBranch, Islamic Azad University Qazvin, Iran
)
Keywords: : sand, modulus matrix, damage, drained, monotonic loading, numerical method, softening,
Abstract :
The primary purpose of studying the behavior of sand is to calculate its deformation at loading. The granular structure of the sand causes the transfer of forces through multiple contacts of the particles. Its deformation results from the combination of slip and roll of the particles. Accordingly, changes in the sand modulus matrix are observed and considered in this research. The studies show that by assuming different spring behavior in each loading increment for the set of sand particles, a numerical linear-nonlinear behavior can be defined according to the drained experimental results. Therefore, proportional numerical functions are defined based on the trend of changes in the modulus of elasticity and changes in the Poisson ratio of sand during monotonic loading. The coefficients are obtained from the related experimental results. The computational effects of these functions in the analytical method are used to convert the experimental behavior of sand into a numerical behavior. The validity of this numerical method is based on calibration and comparison with valid experimental results. In addition to hardening behavior, this numerical analysis can define softening behavior.
1. Ishihara, Kenji, Fumio Tatsuoka, and Susumu Yasuda. "Undrained deformation and liquefaction of sand under cyclic stresses." Soils and foundations 15.1 (1975): 29-44.
2. Li, Yanlong, et al. "A study of the overtopping breach of a sand-gravel embankment dam using experimental models." Engineering Failure Analysis 124 (2021): 105360.
3. Zienkiewicz, O. C., and Z. Mroz. "Generalized plasticity formulation and applications to geomechanics." Mechanics of engineering materials 44.3 (1984): 655-680.
4. Pastor, M., O. C. Zienkiewicz, and K. H. Leung. "Simple model for transient soil loading in earthquake analysis. II. Non‐associative models for sands." International Journal for Numerical and Analytical Methods in Geomechanics 9.5 (1985): 477-498.
5. Pastor, M., O. C. Zienkiewicz, and A. H. C. Chan. "Generalized plasticity and the modelling of soil behaviour." International Journal for Numerical and Analytical Methods in Geomechanics 14.3 (1990): 151-190.
6. Verdugo, Ramon, and Kenji Ishihara. "The steady state of sandy soils." Soils and foundations 36.2 (1996): 81-91.
7. Dafalias, Yannis F., and Majid T. Manzari. "Simple plasticity sand model accounting for fabric change effects." Journal of Engineering mechanics 130.6 (2004): 622-634.
8. Ling, Hoe I., and Songtao Yang. "Unified sand model based on the critical state and generalized plasticity." Journal of Engineering Mechanics 132.12 (2006): 1380-1391.
9. Manzanal, Diego, José Antonio Fernández Merodo, and Manuel Pastor. "Generalized plasticity state parameter‐based model for saturated and unsaturated soils. Part 1: Saturated state." International Journal for Numerical and Analytical Methods in Geomechanics 35.12 (2011): 1347-1362.
10. Sadrnejad, S. A., and G. N. Pande. "A multilaminate model for sands." Proc. Int. Symp. Num. Models in Geomech.(NUMOG III). 1989.
11. Sadrnejad, S. A. "Multilaminate elastoplastic model for granular media." International Journal of Engineering 5.1&2 (1992): 11.
12. Sadrnejad, S. A. "A general multi-plane model for post-liquefaction of sand." Iranian Journal of Science and Technology 31.B2 (2007): 123.
13. Sadrnejad, Seyed Amirodin, and Hamid Karimpour. "Drained and undrained sand behaviour by multilaminate bounding surface model." (2011): 111-125.
14. Daouadji, Ali, et al. "Experimental and numerical investigation of diffuse instability in granular materials using a microstructural model under various loading paths." Géotechnique 63.5 (2013): 368-381.
15. Ghafghazi, M., D. A. Shuttle, and J. T. DeJong. "Particle breakage and the critical state of sand." Soils and Foundations 54.3 (2014): 451-461.
16. Fang, H. L., H. Zheng, and J. Zheng. "Micromechanics-based multimechanism bounding surface model for sands." International Journal of Plasticity 90 (2017): 242-266.
17. Loukidis, D., and R. Salgado. "Modeling sand response using two-surface plasticity." Computers and Geotechnics 36.1-2 (2009): 166-186.
18. Jin, Yinfu, et al. "Unified modeling of the monotonic and cyclic behaviors of sand and clay." Acta Mechanica Solida Sinica 28.2 (2015): 111-132.
19. Woo, Sang Inn, and Rodrigo Salgado. "Bounding surface modeling of sand with consideration of fabric and its evolution during monotonic shearing." International Journal of Solids and Structures 63 (2015): 277-288.
20. Sun, Yifei, and Yang Xiao. "Fractional order plasticity model for granular soils subjected to monotonic triaxial compression." International Journal of Solids and Structures 118 (2017): 224-234.
21. Heidarzadeh, Heisam, and Mohammad Oliaei. "Development of a generalized model using a new plastic modulus based on bounding surface plasticity." Acta Geotechnica 13.4 (2018): 925-941.
22. Yang, Yanxin, and Edward Kavazanjian Jr. "Numerical evaluation of liquefaction-induced lateral spreading with an advanced plasticity model for liquefiable sand." Soil Dynamics and Earthquake Engineering 149 (2021): 106871.
23. Wang, Zhiliang, and Fenggang Ma. "Bounding surface plasticity model for liquefaction of sand with various densities and initial stress conditions." Soil Dynamics and Earthquake Engineering 127 (2019): 105843.
24. Zhang, Fuguang, et al. "DEM analysis of cyclic liquefaction behaviour of cemented sand." Computers and Geotechnics 142 (2022): 104572.
25. Fang, Qin, et al. "Mesoscopic investigation of the sand particulate system subjected to intense dynamic loadings." International Journal of Impact Engineering 89 (2016): 62-71.
26. Peyman Farzad, and Seyed A. Sadrnejad. "Liquefied Residual Strength of Undrained Sand upon A Parametric Approach to Hypo-elastic Model" Numerical Methods in Civil Engineering (2017).
27. Sadrnejad, S. A., and Sh Shakeri. "Fabric assessment of damaged anisotropic geo-materials using the multi-laminate model." International Journal of Rock Mechanics and Mining Sciences 91 (2017): 90-103.
28. Sadrnejad, S. A., and Sh Shakeri. "Multi-laminate non-coaxial modelling of anisotropic sand behavior through damage formulation." Computers and Geotechnics 88 (2017): 18-31.
29. Zhang, Jinhua, Yadong Zhang, and Qin Fang. "Numerical simulation of shock wave propagation in dry sand based on a 3D mesoscopic model." International Journal of Impact Engineering 117 (2018): 102-112.
30. Dashti, Hadi, Seyed Amirodin Sadrnejad, and Navid Ganjian. "A novel semi-micro multilaminate elasto-plastic model for the liquefaction of sand." Soil Dynamics and Earthquake Engineering 124 (2019): 121-135.
31. Li, Haoyang, et al. "Three-dimensional mesoscopic investigation on equation of state for dry sand under shock compression." International Journal of Impact Engineering 160 (2022): 104060.
32. Evangelista Jr, Francisco, and José Fabiano Araújo Moreira. "A novel continuum damage model to simulate quasi-brittle failure in mode I and mixed-mode conditions using a continuous or a continuous-discontinuous strategy." Theoretical and Applied Fracture Mechanics 109 (2020): 102745.
33. Li, Ruidong, et al. "A systematic framework for DEM study of realistic gravel-sand mixture from particle recognition to macro-and micro-mechanical analysis." Transportation Geotechnics (2021): 100693.
34. Peyman, Farzad, and Seyed A. Sadrnejad. "Analysis of concrete crack growth based on micro‐plane model." Structural Concrete 19.3 (2018): 930-945.
35. Arulmoli, K., Muraleetharan, K. K., Hosain, M. M., & Fruth, L. S. (1992). VELACS laboratory testing program, soil data report. The Earth Technology Corporation, Irvine, California, Report to the National Science Foundation, Washington DC.