Abstract

This paper presents a discrete element method (DEM) numerical model to elucidate mechanical behavior, particle crushing, and anisotropy evolution within a pressurized sand damper (PSD) subjected to cyclic loading. Computational simulations of the PSD under different initial pressures and stroke amplitudes were conducted and compared to experimental results. Good agreement was achieved between the DEM model and experimental results for the different cases. Force–displacement, particle crushing, shear, and normal stresses along with geometric and mechanical anisotropy degrees were closely monitored in different areas of the PSD. Dissipated energy was also monitored and used to calculate the specific damping capacity. Employing spherical particles, crushable clusters, and uncrushable clumps as sand particles revealed that the closest results to the experiments are obtained when using crushable clusters. The results show that the majority of crushing occurs in the vicinity of the center of the PSD and within the first loading cycle. Increasing stroke amplitude significantly influenced particle crushing, whereas increasing initial pressure was less considerable. In addition, a direct relationship between the PSD’s direction of movement with shear and normal stresses and anisotropy degree was observed. Moreover, the contribution of mechanical anisotropy was more considerable than the geometric anisotropy to the overall anisotropy degree. Regarding dissipated energy, an increase in stroke amplitude resulted in higher dissipated energy whereas an increase in initial pressure had a minor influence on the dissipated energy. Based on the dissipated energy, it was found that the specific damping capacity was nearly equal to one for all cases studied.

Get full access to this article

View all available purchase options and get full access to this article.

Data Availability Statement

Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request (simulation output and MATLAB codes used for processing the data).

Acknowledgments

This research was partially supported by the US Army Corps of Engineers Engineer Research and Development Center, grant number W9132V-13-C-0004 and the US National Science Foundation awards number CMMI-1728612 and CMMI-2036131. These supports are gratefully acknowledged.

References

Cambou, B., P. Dubujet, and C. Nouguier-Lehon. 2004. “Anisotropy in granular materials at different scales.” Mech. Mater. 36 (12): 1185–1194. https://doi.org/10.1016/j.mechmat.2002.12.002.
Cheng, Y., M. Bolton, and Y. Nakata. 2004. “Crushing and plastic deformation of soils simulated using DEM.” Géotechnique 54 (2): 131–141. https://doi.org/10.1680/geot.2004.54.2.131.
Cheng, Y., Y. Nakata, and M. D. Bolton. 2003. “Discrete element simulation of crushable soil.” Géotechnique 53 (7): 633–641. https://doi.org/10.1680/geot.2003.53.7.633.
Ciantia, M. O., M. Arroyo, F. Calvetti, and A. Gens. 2015. “An approach to enhance efficiency of DEM modelling of soils with crushable grains.” Géotechnique 65 (2): 91–110. https://doi.org/10.1680/geot.13.P.218.
Cundall, P. A., and O. D. Strack. 1979. “A discrete numerical model for granular assemblies.” Géotechnique 29 (1): 47–65. https://doi.org/10.1680/geot.1979.29.1.47.
Das, S. K., and A. Das. 2019. “Influence of quasi-static loading rates on crushable granular materials: A DEM analysis.” Powder Technol. 344 (Feb): 393–403. https://doi.org/10.1016/j.powtec.2018.12.024.
de Bono, J. P., and G. R. McDowell. 2014. “DEM of triaxial tests on crushable sand.” Granular Matter 16 (4): 551–562. https://doi.org/10.1007/s10035-014-0500-x.
El Shamy, U., and C. Denissen. 2012. “Microscale energy dissipation mechanisms in cyclically-loaded granular soils.” Geotech. Geol. Eng. 30 (Apr): 343–361. https://doi.org/10.1007/s10706-011-9472-3.
El Shamy, U., and S. F. Sizkow. 2021a. “Coupled smoothed particle hydrodynamics-discrete element method simulations of soil liquefaction and its mitigation using gravel drains.” Soil Dyn. Earthquake Eng. 140 (Jan): 106460. https://doi.org/10.1016/j.soildyn.2020.106460.
El Shamy, U., and S. F. Sizkow. 2021b. “Coupled SPH-DEM simulations of liquefaction-induced flow failure.” Soil Dyn. Earthquake Eng. 144 (May): 106683. https://doi.org/10.1016/j.soildyn.2021.106683.
Estrada, N., A. Taboada, and F. Radjai. 2008. “Shear strength and force transmission in granular media with rolling resistance.” Phys. Rev. E 78 (2): 021301. https://doi.org/10.1103/PhysRevE.78.021301.
Fang, X., J. Tang, and H. Luo. 2007. “Granular damping analysis using an improved discrete element approach.” J. Sound Vib. 308 (1–2): 112–131. https://doi.org/10.1016/j.jsv.2007.07.034.
Fu, R., X. Hu, and B. Zhou. 2017. “Discrete element modeling of crushable sands considering realistic particle shape effect.” Comput. Geotech. 91 (Nov): 179–191. https://doi.org/10.1016/j.compgeo.2017.07.016.
Gao, Z., J. Zhao, X.-S. Li, and Y. F. Dafalias. 2014. “A critical state sand plasticity model accounting for fabric evolution.” Int. J. Numer. Anal. Methods Geomech. 38 (4): 370–390. https://doi.org/10.1002/nag.2211.
Guo, N., and J. Zhao. 2013. “The signature of shear-induced anisotropy in granular media.” Comput. Geotech. 47 (Jan): 1–15. https://doi.org/10.1016/j.compgeo.2012.07.002.
Hardin, B. O. 1985. “Crushing of soil particles.” J. Geotech. Eng. 111 (10): 1177–1192. https://doi.org/10.1061/(ASCE)0733-9410(1985)111:10(1177).
Housner, G., L. A. Bergman, T. K. Caughey, A. G. Chassiakos, R. O. Claus, S. F. Masri, R. E. Skelton, T. Soong, B. Spencer, and J. T. Yao. 1997. “Structural control: Past, present, and future.” J. Eng. Mech. 123 (9): 897–971. https://doi.org/10.1061/(ASCE)0733-9399(1997)123:9(897).
Itasca Consulting Group. 2021. Particle flow code documentation. Minneapolis: Itasca Consulting Group.
Jo, S.-A., E.-K. Kim, G.-C. Cho, and S.-W. Lee. 2011. “Particle shape and crushing effects on direct shear behavior using DEM.” Soils Found. 51 (4): 701–712. https://doi.org/10.3208/sandf.51.701.
Kelly, J. M., R. Skinner, and A. Heine. 1972. “Mechanisms of energy absorption in special devices for use in earthquake resistant structures.” Bull. N. Z. Soc. Earthquake Eng. 5 (3): 63–88. https://doi.org/10.5459/bnzsee.5.3.63-88.
Kotrocz, K., A. M. Mouazen, and G. Kerényi. 2016. “Numerical simulation of soil–cone penetrometer interaction using discrete element method.” Comput. Electron. Agric. 125 (Jul): 63–73. https://doi.org/10.1016/j.compag.2016.04.023.
Kuang, D.-M., Z.-L. Long, R.-Q. Guo, P.-Y. Yu, X.-T. Zhou, and J. Wang. 2020. “Numerical investigation of the cushion and size effects during single-particle crushing via DEM.” Acta Mech. Solida Sin. 33 (Dec): 851–863. https://doi.org/10.1007/s10338-020-00191-y.
Lee, G., and B. Hartmann. 1998. “Specific damping capacity for arbitrary loss angle.” J. Sound Vib. 211 (2): 265–272. https://doi.org/10.1006/jsvi.1997.1387.
Lieber, P., and D. Jensen. 1945. “An acceleration damper: Development, design and some applications.” Trans. ASME 67 (10): 523–530. https://doi.org/10.1115/1.4018316.
Lin, J., E. Bauer, and W. Wu. 2020. “A combined method to model grain crushing with DEM.” Geosci. Front. 11 (2): 451–459. https://doi.org/10.1016/j.gsf.2019.02.011.
Liu, J., W. Zhou, G. Ma, S. Yang, and X. Chang. 2020. “Strong contacts, connectivity and fabric anisotropy in granular materials: A 3D perspective.” Powder Technol. 366 (Apr): 747–760. https://doi.org/10.1016/j.powtec.2020.03.018.
Liu, S., and J. Wang. 2016. “Depth-independent cone penetration mechanism by a discrete element method (DEM)-based stress normalization approach.” Can. Geotech. J. 53 (5): 871–883. https://doi.org/10.1139/cgj-2015-0188.
Lu, Z., X. Lu, and S. F. Masri. 2010. “Studies of the performance of particle dampers under dynamic loads.” J. Sound Vib. 329 (26): 5415–5433. https://doi.org/10.1016/j.jsv.2010.06.027.
Lu, Z., Z. Wang, Y. Zhou, and X. Lu. 2018. “Nonlinear dissipative devices in structural vibration control: A review.” J. Sound Vib. 423 (Jun): 18–49. https://doi.org/10.1016/j.jsv.2018.02.052.
Mahmood, Z., and K. Iwashita. 2010. “Influence of inherent anisotropy on mechanical behavior of granular materials based on DEM simulations.” Int. J. Numer. Anal. Methods Geomech. 34 (8): 795–819. https://doi.org/10.1002/nag.830.
Makris, N., M. Constantinou, and G. Dargush. 1993a. “Analytical model of viscoelastic fluid dampers.” J. Struct. Eng. 119 (11): 3310–3325. https://doi.org/10.1061/(ASCE)0733-9445(1993)119:11(3310).
Makris, N., G. Dargush, and M. Constantinou. 1993b. “Dynamic analysis of generalized viscoelastic fluids.” J. Eng. Mech. 119 (8): 1663–1679. https://doi.org/10.1061/(ASCE)0733-9399(1993)119:8(1663).
Makris, N., X. Palios, G. Moghimi, and S. Bousias. 2021. “Pressurized sand damper for earthquake and wind engineering: Design, testing, and characterization.” J. Eng. Mech. 147 (4): 04021014. https://doi.org/10.1061/(ASCE)EM.1943-7889.0001902.
Moghimi, G. N., and N. Makris. 2022. “Seismic response of yielding multistory steel buildings equipped with pressurized sand dampers.” J. Struct. Eng. 148 (7): 04022071. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003364.
Nguyen, D.-H., É. Azéma, P. Sornay, and F. Radjai. 2018. “Rheology of granular materials composed of crushable particles.” Eur. Phys. J. E 41 (Apr): 1–11. https://doi.org/10.1140/epje/i2018-11656-1.
Oda, M. 1982. “Fabric tensor for discontinuous geological materials.” Soils Found. 22 (4): 96–108. https://doi.org/10.3208/sandf1972.22.4_96.
Paget, A. 1937. “Vibration in steam turbine buckets and damping by impacts.” Engineering 143 (Mar): 305–307.
Rahmoun, J., D. Kondo, and O. Millet. 2009. “A 3d fourth order fabric tensor approach of anisotropy in granular media.” Comput. Mater. Sci. 46 (4): 869–880. https://doi.org/10.1016/j.commatsci.2009.04.030.
Saaed, T. E., G. Nikolakopoulos, J.-E. Jonasson, and H. Hedlund. 2015. “A state-of-the-art review of structural control systems.” J. Vib. Control 21 (5): 919–937. https://doi.org/10.1177/1077546313478294.
Sabi, E., U. El Shamy, and N. Makris. 2023. “Numerical simulation of the force output of a pressurized sand damper under cyclic loading.” J. Sound Vib. 553 (Jun): 117666. https://doi.org/10.1016/j.jsv.2023.117666.
Satake, M. 1982. “The role of the characteristic line in static soil behavior.” In Proc., IUTAM Symp. on Deformation and Failure of Granular Materials, 63–68. Boca Raton, FL: CRC Press.
Sitharam, T., J. Vinod, and B. Ravishankar. 2009. “Post-liquefaction undrained monotonic behaviour of sands: Experiments and DEM simulations.” Géotechnique 59 (9): 739–749. https://doi.org/10.1680/geot.7.00040.
Sizkow, S. F., and U. El Shamy. 2021. “Sph-DEM simulations of saturated granular soils liquefaction incorporating particles of irregular shape.” Comput. Geotech. 134 (Jun): 104060. https://doi.org/10.1016/j.compgeo.2021.104060.
Skinner, R. I., J. M. Kelly, and A. Heine. 1974. “Hysteretic dampers for earthquake-resistant structures.” Earthquake Eng. Struct. Dyn. 3 (3): 287–296. https://doi.org/10.1002/eqe.4290030307.
Sun, Q., and J. Zheng. 2019. “Two-dimensional and three-dimensional inherent fabric in cross-anisotropic granular soils.” Comput. Geotech. 116 (Dec): 103197. https://doi.org/10.1016/j.compgeo.2019.103197.
Tong, L., and Y. H. Wang. 2015. “DEM simulations of shear modulus and damping ratio of sand with emphasis on the effects of particle number, particle shape, and aging.” Acta Geotech. 10 (1): 117–130. https://doi.org/10.1007/s11440-014-0331-2.
Wang, J., and B. Zhao. 2014. “Discrete-continuum analysis of monotonic pile penetration in crushable sands.” Can. Geotech. J. 51 (10): 1095–1110. https://doi.org/10.1139/cgj-2013-0263.
Wu, M., and J. Wang. 2020. “A DEM investigation on crushing of sand particles containing intrinsic flaws.” Soils Found. 60 (2): 562–572. https://doi.org/10.1016/j.sandf.2020.03.007.
Xu, W.-J., G.-Y. Liu, and H. Yang. 2020. “Study on the mechanical behavior of sands using 3d discrete element method with realistic particle models.” Acta Geotech. 15 (10): 2813–2828. https://doi.org/10.1007/s11440-020-00982-0.
Zhang, L., and T. M. Evans. 2018. “Boundary effects in discrete element method modeling of undrained cyclic triaxial and simple shear element tests.” Granular Matter 20 (4): 1–23. https://doi.org/10.1007/s10035-018-0832-z.
Zhang, T., W. Yang, C. Zhang, and C. Hu. 2021. “Particle breakage effect on compression behavior of realistic granular assembly.” Int. J. Geomech. 21 (7): 04021105. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002022.
Zhang, T., C. Zhang, Q. Yang, and R. Fu. 2020a. “Inter-particle friction and particle sphericity effects on isotropic compression behavior in real-shaped sand assemblies.” Comput. Geotech. 126 (Oct): 103741. https://doi.org/10.1016/j.compgeo.2020.103741.
Zhang, T., C. Zhang, J. Zou, B. Wang, F. Song, and W. Yang. 2020b. “DEM exploration of the effect of particle shape on particle breakage in granular assemblies.” Comput. Geotech. 122 (Jun): 103542. https://doi.org/10.1016/j.compgeo.2020.103542.
Zhao, J., and N. Guo. 2013. “Unique critical state characteristics in granular media considering fabric anisotropy.” Géotechnique 63 (8): 695–704. https://doi.org/10.1680/geot.12.P.040.
Zhao, S., T. M. Evans, and X. Zhou. 2018. “Shear-induced anisotropy of granular materials with rolling resistance and particle shape effects.” Int. J. Solids Struct. 150 (Oct): 268–281. https://doi.org/10.1016/j.ijsolstr.2018.06.024.
Zhou, W., J. Liu, G. Ma, and X. Chang. 2017. “Three-dimensional DEM investigation of critical state and dilatancy behaviors of granular materials.” Acta Geotech. 12 (3): 527–540. https://doi.org/10.1007/s11440-017-0530-8.
Zhou, W., L. Yang, G. Ma, X. Chang, Y. Cheng, and D. Li. 2015. “Macro–micro responses of crushable granular materials in simulated true triaxial tests.” Granular Matter 17 (4): 497–509. https://doi.org/10.1007/s10035-015-0571-3.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 150Issue 1January 2024

History

Received: May 10, 2023
Accepted: Aug 19, 2023
Published online: Oct 18, 2023
Published in print: Jan 1, 2024
Discussion open until: Mar 18, 2024

Permissions

Request permissions for this article.

Authors

Affiliations

Mehrdad Karimipetanlar [email protected]
Graduate Research Assistant, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P. O. Box 750340, Dallas, TX 75275. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P. O. Box 750340, Dallas, TX 75275 (corresponding author). ORCID: https://orcid.org/0000-0003-1214-9040. Email: [email protected]
Assistant Professor, Dept. of Civil Engineering, UT Tyler, Tyler, TX 75799. ORCID: https://orcid.org/0000-0002-3803-7859. Email: [email protected]
Professor, Dept. of Civil and Environmental Engineering, Southern Methodist Univ., P. O. Box 750340, Dallas, TX 75275. ORCID: https://orcid.org/0000-0002-9059-2147. Email: [email protected]

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share