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Mesh size effect on finite-element modeling of blast-loaded reinforced concrete slab

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Abstract

The dramatic increase in computation efficiency over the last three decades has made the finite-element simulation approach the dominant tool for investigating blast phenomena and their effects on building structures. However, the simulation results depend greatly on the mesh size selected for the numerical model, which may generate an inaccuracy in predicting the phenomena correctly. Thus, mesh size for finite-element simulations, appears to be an epistemic uncertainty that is inherent to the simulation process. This paper investigates the reliability of finite-element simulations of a reinforced concrete slab subjected to a certain level of explosion, in terms of mesh size sensitivity. Full-scale free air blast experiments are performed to monitor the blast-structure interaction phenomenon and help validating the numerical simulations. Fifteen finite-element simulations are evaluated with coarse to fine range mesh sizes, and the effects of mesh resolution on the numerical simulations are analyzed. An optimum mesh size is determined for a given set of loading conditions, and established by the amount of internal energy that gives rise to the expected damage on the slab.

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References

  1. Krauthammer T, Otani R (1997) Mesh, gravity and load effects on finite element simulations of blast loaded reinforced concrete structures. Comput Struct 63(6):1113–1120

    Article  Google Scholar 

  2. Fang Q, Liu JC, Zhang YD, Qian QH (2001) Finite element analysis of failure modes of blast-loaded r/c beams [j]. Eng Mech 2:1–8

    Google Scholar 

  3. Bao X, Li B (2010) Residual strength of blast damaged reinforced concrete columns. Int J Impact Eng 37(3):295–308

    Article  Google Scholar 

  4. Hallquist JO (2012) LS-DYNA keyword users manual. Livermore Software Technology Corporation (LSTC), Livermore

    Google Scholar 

  5. Hibbitt H, Karlsson B, Sorensen P (2011) Abaqus analysis users manual version 6.10. Dassault Systèmes Simulia Corp., Providence

    Google Scholar 

  6. Autodyn A (2009) Interactive non-linear dynamic analysis software, version 12, users manual. SAS IP Inc

  7. EuroPlexus: computer program for the finite element simulation of fluid-structure systems under dynamic loading, users manual, cea saclay (2002). Tech. rep., CEA/DEN/SEMT/DYN

  8. Langdon G, Schleyer G (2006) Deformation and failure of profiled stainless steel blast wall panels. Part III: finite element simulations and overall summary. Int J Impact Eng 32(6):988–1012

    Article  Google Scholar 

  9. Balden V, Nurick GN (2005) Numerical simulation of the post-failure motion of steel plates subjected to blast loading. Int J Impact Eng 32(1):14–34

    Article  Google Scholar 

  10. Dharmasena KP, Wadley HN, Xue Z, Hutchinson JW (2008) Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading. Int J Impact Eng 35(9):1063–1074

    Article  Google Scholar 

  11. Hyde D (1992) Fundamentals of protective design for conventional weapons. CONWEP (Conventional Weapons Effects), TM 5-855 1

  12. Wu Y, Crawford JE, Magallanes JM (2012) Performance of ls-dyna concrete constitutive models. In: 12th International LS-DYNA Users conference

  13. Babuška I, Strouboulis T (2001) The finite element method and its reliability. Oxford University Press, Oxford

    MATH  Google Scholar 

  14. Nam JW, Kim JHJ, Kim SB, Yi NH, Byun KJ (2008) A study on mesh size dependency of finite element blast structural analysis induced by non-uniform pressure distribution from high explosive blast wave. KSCE J Civil Eng 12(4):259–265

    Article  Google Scholar 

  15. Manzanilla R, Feijóo RA, Castor González G (2011) El método de los elementos finitos adaptable. estimaciones de error. Revista Internacional de Métodos Numéricos para Cálculo y Diseño en Ingeniería

  16. Azimi M, Mirjavadi SS, Asli SA (2016) Investigation of mesh sensitivity influence to determine crack characteristic by finite element methods. J Fail Anal Prev 16(3):506–512

    Article  Google Scholar 

  17. McClung R, Sehitoglu H (1989) On the finite element analysis of fatigue crack closure 1. Basic modeling issues. Eng Fract Mech 33(2):237–252

    Article  Google Scholar 

  18. Sedov LI (1993) Similarity and dimensional methods in mechanics. CRC

  19. Landau L, Lifshitz E (1987) Fluid mechanics, vol 6. Course of Theoretical Physics. pp 227–229

  20. Murray YD, Abu-Odeh AY, Bligh RP (2007) Evaluation of ls-dyna concrete material model 159. Tech. rep.

  21. Nourollahi GA, Farahani M, Babakhani A, Mirjavadi S (2013) Compressive deformation behavior modeling of az31 magnesium alloy at elevated temperature considering the strain effect. Mater Res 16(6):1309–1314

    Article  Google Scholar 

  22. Van Mier JG (1996) Fracture processes of concrete, vol 12. CRC

  23. Khoe YS, Weerheijm J Limitations of smeared crack models for dynamic analysis of concrete. In: 12th International LS-DYNA Users Conference. Constitutive Models

  24. Castedo R, Segarra P, Alañon A, Lopez L, Santos A, Sanchidrian J (2015) Air blast resistance of full-scale slabs with different compositions: numerical modeling and field validation. Int J Impact Eng 86:145–156

    Article  Google Scholar 

  25. Mirahmadi H, Azimi M, Mirjavadi SS (2016) Calculation of stress intensity factor for functionally graded cylinders with two radial cracks using the weight function method. Theor Appl Fract Mech 85:447–456

    Article  Google Scholar 

  26. Alhussan K, Stepanov K, Stankevich Y, Smetannikov A, Zhdanok S (2011) Hydrodynamics of the initial phase of explosion. Int J Heat Mass Transf 54(78):1627–1640. http://doi.org/10.1016/j.ijheatmasstransfer.2010.11.019. http://www.sciencedirect.com/science/article/pii/S0017931010006332

  27. Weerheijm J, Doormaal JV (2007) Tensile failure of concrete at high loading rates: new test data on strength and fracture energy from instrumented spalling tests. Int J Impact Eng 34(3):609–626. http://doi.org/10.1016/j.ijimpeng.2006.01.005. http://www.sciencedirect.com/science/article/pii/S0734743X06000145

  28. Bejan A (1995) Entropy generation minimization: the method of thermodynamic optimization of finite-size systems and finite-time processes. CRC

  29. Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. I. theory. IEEE Trans Signal Process 41(2):821–833

    Article  MATH  Google Scholar 

  30. Unser M, Aldroubi A, Eden M (1993) B-spline signal processing. II. Efficiency design and applications. IEEE Trans Signal Process 41(2):834–848

    Article  MATH  Google Scholar 

  31. Savitzky A, Golay MJ (1964) Smoothing and differentiation of data by simplified least squares procedures. Anal Chem 36(8):1627–1639

    Article  Google Scholar 

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Correspondence to Elena Cerro-Prada.

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Alañón, A., Cerro-Prada, E., Vázquez-Gallo, M.J. et al. Mesh size effect on finite-element modeling of blast-loaded reinforced concrete slab. Engineering with Computers 34, 649–658 (2018). https://doi.org/10.1007/s00366-017-0564-4

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  • DOI: https://doi.org/10.1007/s00366-017-0564-4

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