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Influence of Porosity on Ice Dynamic Tensile Behavior as Assessed by Spalling Tests

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Abstract

The impact of ice on structures is a strong concern, in particular for aeronautical or space crafts that are strongly damaged by the impact of atmospheric ice, and more specifically by hailstones during hailstorms. During the impact, the hailstone is submitted to a complex loading including a strong dynamic tensile component that is responsible for its fragmentation and influences the mechanical loading transmitted to the impacted structure. However, up to now, very limited work were conducted on the tensile strength of ice under dynamic loading and the microstructure influence was out the scope of most studies. In particular the presence of porosity in ice as observed in hailstones is thought to significantly affect the ice mechanical response. The aim of this paper is to investigate the role of porosity on the tensile behavior of polycrystalline ice at high strain rates. To do so, spalling tests with a Hopkinson bar apparatus were conducted on microstructures characterized by porosities with two different pore size distributions. The dynamic tensile strength was computed by the use of the so-called Novikov formula and several indicators were used to assess the quality of each test. A whole set of high porosity samples was tested and additional tests were performed on low porosity ice, expanding the existing results in the literature. The fragmentation processes occuring during the spalling tests were observed by means of an ultra high speed camera and the influence of porosity on the main fracture planes was investigated by analysing post-spalling samples with an automatic ice texture analyser and X-ray tomography. Tensile strength is shown to increase with strain rate over the range \(24\,\hbox {s}^{-1}\) to \(120\,\hbox {s}^{-1}\) and to decrease with increasing porosity. The presence of large porosities in the high porosity samples appear to contribute preferentially to this strength decrease. Relevant observations concerning the detected cracks, the tortuosity of crack paths and the presence of porosities on the crack surfaces seem to validate the hypothesis of porosities playing a key role for crack initiation and propagation during ice fragmentation.

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References

  1. Forquin P, Sallier L, Pontiroli C (2015) A numerical study on the influence of free water content on the ballistic performances of plain concrete targets. Mech Mater 89:176–189

    Article  Google Scholar 

  2. Forquin P (2017) Brittle materials at high-loading rates: an open area of research

  3. Schulson EM, Duval P (2009) Creep and fracture of ice. Cambridge University Press, Cambridge

    Book  Google Scholar 

  4. Carney KS, Benson DJ, DuBois P, Lee R (2006) A phenomenological high strain rate model with failure for ice. Int J Solids Struct 43(25–26):7820–7839

    Article  CAS  Google Scholar 

  5. Pernas-Sánchez J, Pedroche D, Varas D, López-Puente J, Zaera R (2012) Numerical modeling of ice behavior under high velocity impacts. Int J Solids Struct 49(14):1919–1927

    Article  Google Scholar 

  6. Tippmann JD, Kim H, Rhymer JD (2013) Experimentally validated strain rate dependent material model for spherical ice impact simulation. Int J Impact Eng 57:43–54

    Article  Google Scholar 

  7. Dousset S (2019) Comportement mécanique dynamique de la glace: Contributions expérimentales et numériques pour le cas d’impacts de grêle sur structure aéronautique. Thèse de docteur présentée à l’École Nationale Supérieure d’Arts et Métiers

  8. Kim H, Kedward KT (2000) Modeling hail ice impacts and predicting impact damage initiation in composite structures. AIAA J 38(7):1278–1288

    Article  Google Scholar 

  9. Keune J (2004) Development of a hail ice impact model and the dynamic compressive strength properties of ice. PhD thesis, MS thesis, Purdue University West Lafayette

  10. Park H, Kim H (2010) Damage resistance of single lap adhesive composite joints by transverse ice impact. Int J Impact Eng 37(2):177–184

    Article  Google Scholar 

  11. Kim H, Keune JN (2007) Compressive strength of ice at impact strain rates. J Mater Sci 42(8):2802

    Article  CAS  Google Scholar 

  12. Shazly M, Prakash V, Lerch BA (2009) High strain-rate behavior of ice under uniaxial compression. Int J Solids Struct 46(6):1499–1515

    Article  Google Scholar 

  13. Wu X, Prakash V (2015) Dynamic strength of distill water and lake water ice at high strain rates. Int J Impact Eng 76:155–165

    Article  Google Scholar 

  14. Petrovic J (2003) Review mechanical properties of ice and snow. J Mater Sci 38(1):1–6

    Article  CAS  Google Scholar 

  15. Schuler H, Mayrhofer C, Thoma K (2006) Spall experiments for the measurement of the tensile strength and fracture energy of concrete at high strain rates. Int J Impact Eng 32(10):1635–1650

    Article  Google Scholar 

  16. Erzar B, Forquin P (2011) Experiments and mesoscopic modelling of dynamic testing of concrete. Mech Mater 43(9):505–527

    Article  Google Scholar 

  17. Erzar B, Forquin P (2014) Analysis and modelling of the cohesion strength of concrete at high strain-rates. Int J Solids Struct 51(14):2559–2574

    Article  Google Scholar 

  18. Zinszner J, Forquin P, Rossiquet G (2015) Experimental and numerical analysis of the dynamic fragmentation in a sic ceramic under impact. Int J Impact Eng 76:9–19

    Article  Google Scholar 

  19. Ortiz R, Deletombe E, Chuzel-Marmot Y (2015) Assessment of damage model and strain rate effects on the fragile stress/strain response of ice material. Int J Impact Eng 76:126–138

    Article  Google Scholar 

  20. Mazars J (1984) Application de la mécanique de l’endommagement au comportement non linéaire et à la rupture du béton de structure. Thèse de docteur en sciences présentée à L’Université Pierre et Marie Curie-Paris 6

  21. Lange MA, Ahrens TJ (1983) The dynamic tensile strength of ice and ice-silicate mixtures. J Geophys Res 88(B2):1197–1208

    Article  Google Scholar 

  22. Saletti D, Georges D, Gouy V, Montagnat M, Forquin P (2019) A study of the mechanical response of polycrystalline ice subjected to dynamic tension loading using the spalling test technique. Int J Impact Eng 103315

  23. Kermani M, Farzaneh M, Gagnon R (2008) Bending strength and effective modulus of atmospheric ice. Cold Reg Sci Technol 53(2):162–169

    Article  Google Scholar 

  24. Timco G et al (1994) Flexural strength equation for sea ice. Cold Reg Sci Technol 22(3):285–298

    Article  Google Scholar 

  25. Macklin WC, Knight CA, Moore HE, Knight NC, Pollock WH, Carras JN, Thwaiters S (1977) Isotopic, crystal and air bubble structures of hailstones. J Atmos Sci 34(6):961–967

    Article  CAS  Google Scholar 

  26. Hild F, Denoual C, Forquin P, Brajer X (2003) On the probabilistic-deterministic transition involved in a fragmentation process of brittle materials. Comput Struct 81(12):1241–1253

    Article  Google Scholar 

  27. Barnes P, Tabor D, Walker J (1971) The friction and creep of polycrystalline ice. Proc R Soc Lond A 324(1557):127–155

    Article  CAS  Google Scholar 

  28. Wilson CJ, Russell-Head DS, Sim HM (2003) The application of an automated fabric analyzer system to the textural evolution of folded ice layers in shear zones. Ann Glaciol 37:7–17

    Article  Google Scholar 

  29. Andò E, Cailletaud R, Roubin E, Stamati O (2017) the spam contributors, spam: the software for the practical analysis of materials

  30. Ikeda S, Nakano T, Nakashima Y (2000) Three-dimensional study on the interconnection and shape of crystals in a graphic granite by x-ray CT and image analysis

  31. Klepaczko J, Brara A (2001) An experimental method for dynamic tensile testing of concrete by spalling. Int J Impact Eng 25(4):387–409

    Article  Google Scholar 

  32. Erzar B, Forquin P (2010) An experimental method to determine the tensile strength of concrete at high rates of strain. Exp Mech 50(7):941–955

    Article  Google Scholar 

  33. Pierron F, Forquin P (2012) Ultra-high-speed full-field deformation measurements on concrete spalling specimens and stiffness identification with the virtual fields method. Strain 48(5):388–405

    Article  Google Scholar 

  34. Lukić BB, Saletti D, Forquin P (2018) On the processing of spalling experiments. part II: identification of concrete fracture energy in dynamic tension. J Dyn Behav Mater 4(1):56–73

    Article  Google Scholar 

  35. Forquin P, Lukić B, Saletti D, Sallier L, Pierron F (2019b) A benchmark testing technique to characterize the stress-strain relationship in materials based on the spalling test and a photomechanical method. Meas Sci Technol 30(12):125006

    Article  CAS  Google Scholar 

  36. Novikov S, Divnov II, Ivanov AG (1966) The study of fracture of steel, aluminium and copper under explosive loading. Fizika Metallov i Metallovedenie 21:608

    Google Scholar 

  37. Forquin P, Lukić B (2018) On the processing of spalling experiments. part I: identification of the dynamic tensile strength of concrete. J Dyn Behav Mater 4(1):34–55

    Article  Google Scholar 

  38. Cole DM (1986) Effect of grain size on the internal fracturing of polycrystalline ice, vol 86. US Army Corps of Engineers, Cold Regions Research & Engineering Laboratory

  39. Colbeck S (1986) Theory of microfracture healing in ice. Acta Metall 34(1):89–95

    Article  CAS  Google Scholar 

  40. Hammond NP, Barr AC, Cooper RF, Caswell TE, Hirth G (2018) Experimental constraints on the fatigue of icy satellite lithospheres by tidal forces. J Geophys Res 123(2):390–404

    Article  Google Scholar 

  41. Cho SH, Ogata Y, Kaneko K (2003) Strain-rate dependency of the dynamic tensile strength of rock. Int J Rock Mech Min Sci 40(5):763–777

    Article  Google Scholar 

  42. Saadati M, Forquin P, Weddfelt K (2016) Larsson PL (2016) On the tensile strength of granite at high strain rates considering the influence from preexisting cracks. Adv Mater Sci Eng

  43. Schulson EM (2001) Brittle failure of ice. Eng Fract Mech 68(17–18):1839–1887

    Article  Google Scholar 

  44. Timco G, Weeks W (2010) A review of the engineering properties of sea ice. Cold Reg Sci Technol 60(2):107–129

    Article  Google Scholar 

  45. Forquin P, Hild F (2010) A probabilistic damage model of the dynamic fragmentation process in brittle materials. In: Advances in applied mechanics, vol 44. Elsevier, pp 1–72

  46. Parsons BL, Lal M (1991) Distribution parameters for flexural strength of ice. Cold Reg Sci Technol 19(3):285–293

    Article  Google Scholar 

  47. Jayatilaka AdS, Trustrum K (1977) Statistical approach to brittle fracture. J Mater Sci 12(7):1426–1430

    Article  Google Scholar 

  48. Denoual C, Hild F (2000) A damage model for the dynamic fragmentation of brittle solids. Comput Methods Appl Mech Eng 183(3–4):247–258

    Article  Google Scholar 

  49. Kanninen MF, Popelar CL (1985) Advanced fracture mechanics. Oxford University Press, Oxford

    Google Scholar 

  50. Liu DM (1997) Influence of porosity and pore size on the compressive strength of porous hydroxyapatite ceramic. Ceram Int 23(2):135–139

    Article  CAS  Google Scholar 

  51. Chao LY, Shetty DK (1992) Extreme-value statistics analysis of fracture strengths of a sintered silicon nitride failing from pores. J Am Ceram Soc 75(8):2116–2124

    Article  CAS  Google Scholar 

  52. Forquin P, Blasone M, Georges D, Dargaud M, Ando E (2019a) Modelling of the fragmentation process in brittle solids based on x-ray micro-tomography analysis. 24ème Congrès Français de Mécanique, Brest, 26 au 30 Août 2019 2019

  53. Renard F, Bernard D, Desrues J, Ougier-Simonin A (2009) 3d imaging of fracture propagation using synchrotron X-ray microtomography. Earth Planet Sci Lett 286(1–2):285–291

    Article  CAS  Google Scholar 

  54. Chen M, Wang H, Jin H, Pan X, Jin Z (2016) Effect of pores on crack propagation behavior for porous si3n4 ceramics. Ceram Int 42(5):5642–5649

    Article  CAS  Google Scholar 

  55. Smith T, Schulson M, Schulson E (1990) The fracture toughness of porous ice with and without particles. In: Proceedings, Ninth International Conference on Offshore Mechanics and Arctic Engineering, pp 241–246

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Acknowledgements

The present work was developed in the framework of the Brittle’s Codex chair (Fondation UGA) and thanks to the support from the CEA-CESTA and from the Labex OSUG@2020 (ANR 10 LABEX 56). The provided support and fundings are gratefully acknowledged by the authors. The TomoCold facility was funded by CNRM, LabEx OSUG@2020 and the french national programme LEFE/INSU.

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Authors and Affiliations

  1. CNRS, Grenoble INP(Institute of Engineering), University Grenoble Alpes, 3SR, Grenoble, France

    D. Georges, D. Saletti & P. Forquin

  2. CNRS, Grenoble INP(Institute of Engineering), University Grenoble Alpes, IGE, Grenoble, France

    D. Georges & M. Montagnat

  3. Univ. Grenoble Alpes, Université de Toulouse, Météo-France, CNRS, CNRM, Centre d’Etudes de la Neige, Grenoble, France

    M. Montagnat & P. Hagenmuller

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  1. D. Georges
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Correspondence to D. Georges.

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Georges, D., Saletti, D., Montagnat, M. et al. Influence of Porosity on Ice Dynamic Tensile Behavior as Assessed by Spalling Tests. J. dynamic behavior mater. 7, 575–590 (2021). https://doi.org/10.1007/s40870-021-00300-z

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