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A Stress-Strain Model for Geomaterials Subjected to Air-Blast

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Proceedings of GeoShanghai 2018 International Conference: Fundamentals of Soil Behaviours (GSIC 2018)

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Abstract

The engineering design of underground protective structures subjected to blast loading requires an appropriate stress-strain relationship for surrounding geomaterials. The behaviour of geomaterials under blast loading depends upon strain rate, stress level and interaction among the three phases. A few advanced constitutive models are proposed in the literature to model stress-strain behavior. However, a less accurate but simple alternative is to use functional forms for capturing the experimental stress-strain curves. In this paper, the functional form of stress-strain curve of geomaterials subjected to air-blast (uniaxial high strain-rate loading) is proposed based on the deformation mechanism of geomaterials. The proposed model consists of two different expressions for loading and unloading and requires only three parameters. The physical meaning of the three model parameters is discussed and the procedure for their evaluation is outlined. It is found that the proposed functional form captures the experimental stress-strain curves very well.

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References

  1. Pathak, S., Ramana, G.V.: Air-blast induced ground displacement. In: Procedia Engineering (11th International Symposium on Plasticity and Impact Mechanics, 2016), vol. 173, pp. 555–562 (2017)

    Article  Google Scholar 

  2. An, J., Tuan, C.Y., Cheeseman, B.A., Gazonas, G.A.: Simulation of soil behavior under blast loading. Int. J. Geomech. 11(4), 323–334 (2011)

    Article  Google Scholar 

  3. Hicher, P.Y., Shao, J.F. (eds.).: Constitutive Modeling of Soils and Rocks. Wiley (2013)

    Google Scholar 

  4. Higgins, W., Chakraborty, T., Basu, D.: A high strain-rate constitutive model for sand and its application in finite-element analysis of tunnels subjected to blast. Int. J. Numer. Anal. Meth. Geomech. 37(15), 2590–2610 (2013)

    Article  Google Scholar 

  5. Duncan, J.M., Chang, C.Y.: Nonlinear analysis of stress and strain in soils. J. Soil Mech. Found. Div. ASCE 96(5), 1629–1653 (1970)

    Google Scholar 

  6. Skalak, R., Weidlinger, P.: Attenuation of stress waves in bi-linear materials. J. Eng. Mech. Div. ASCE 87(EM3), 1–12 (1961)

    Google Scholar 

  7. Hendron Jr, A.J.: The behavior of sand in one-dimensional compression. Ph.D. thesis, Department of Civil Engineering, University of Illinois, Urbana (1963)

    Google Scholar 

  8. Weidlinger, P.: Shock and reflection in a nonlinear medium. J. Eng. Mech. Div. 91(3), 147–168 (1965)

    Google Scholar 

  9. Rohani, B.: Theoretical Studies of Stress Wave Propagation in Laterally Confined Soils (No. WES/MP/SL-99-1). Army Engineer Waterways Experiment Station Vicksburg MS Structures Lab (1999)

    Google Scholar 

  10. Omidvar, M., Iskander, M., Bless, S.: Stress-strain behavior of sand at high strain rates. Int. J. Impact Eng. 49, 192–213 (2012)

    Article  Google Scholar 

  11. Farr, J.V.: One-dimensional loading-rate effects. J. Geotech. Eng. 116(1), 119–135 (1990)

    Article  Google Scholar 

  12. Wang, Z., Lu, Y.: Numerical analysis on dynamic deformation mechanism of soils under blast loading. Soil Dyn. Earthq. Eng. 23(8), 705–714 (2003)

    Article  Google Scholar 

  13. Jackson Jr, J.G.: Factors That Influence the Development of Soil Constitutive Relations (No. AEWES-MISC-PAPER-4-980). Army Engineer Waterways Experiment Station Vicksburg MS (1968)

    Google Scholar 

  14. Kabir, M.E., Song, B., Martin, B.E., Chen, W.: Compressive behavior of fine sand. Sandia National Laboratories, New Mexico (2010)

    Google Scholar 

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Correspondence to Shashank Pathak .

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Pathak, S., Ramana, G.V. (2018). A Stress-Strain Model for Geomaterials Subjected to Air-Blast. In: Zhou, A., Tao, J., Gu, X., Hu, L. (eds) Proceedings of GeoShanghai 2018 International Conference: Fundamentals of Soil Behaviours. GSIC 2018. Springer, Singapore. https://doi.org/10.1007/978-981-13-0125-4_43

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