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In-Plane and Out-of Plane Failure of an Ice Sheet using Peridynamics

Published online by Cambridge University Press:  17 January 2020

Bozo Vazic Open the ORCID record for Bozo Vazic [Opens in a new window] ,
Erkan Oterkus  and
Selda Oterkus
Bozo Vazic*
Affiliation:
PeriDynamics Research Centre, University of Strathclyde, Glasgow, UK
Erkan Oterkus
Affiliation:
PeriDynamics Research Centre, University of Strathclyde, Glasgow, UK
Selda Oterkus
Affiliation:
PeriDynamics Research Centre, University of Strathclyde, Glasgow, UK
*
Corresponding author (bozo.vazic@strath.ac.uk)
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Abstract

When dealing with ice structure interaction modeling, such as designs for offshore structures/icebreakers or predicting ice cover’s bearing capacity for transportation, it is essential to determine the most important failure modes of ice. Structural properties, ice material properties, ice-structure interaction processes, and ice sheet geometries have significant effect on failure modes. In this paper two most frequently observed failure modes are studied; splitting failure mode for in-plane failure of finite ice sheet and out-of-plane failure of semi-infinite ice sheet. Peridynamic theory was used to determine the load necessary for inplane failure of a finite ice sheet. Moreover, the relationship between radial crack initiation load and measured out-of-plane failure load for a semi-infinite ice sheet is established. To achieve this, two peridynamic models are developed. First model is a 2 dimensional bond based peridynamic model of a plate with initial crack used for the in-plane case. Second model is based on a Mindlin plate resting on a Winkler elastic foundation formulation for out-of-plane case. Numerical results obtained using peridynamics are compared against experimental results and a good agreement between the two approaches is obtained confirming capability of peridynamics for predicting in-plane and out-of-plane failure of ice sheets.

Keywords

IceFracturePeridynamicsWinkler elastic foundation
Type
Research Article
Information
Journal of Mechanics , Volume 36 , Issue 2 , April 2020 , pp. 265 - 271
Copyright
Copyright © 2020 The Society of Theoretical and Applied Mechanics

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References

REFERENCES

Timco, G. W. “Indentation and penetration of edge-loaded freshwater ice sheets in the brittle range.” Journal of Offshore Mechanics and Arctic Engineering 109.3, pp.287–294 (1987).CrossRefGoogle Scholar
Grape, Johan A., and Erland, M. Schulson. “Effect of confining stress on brittle indentation failure of columnar ice.” International Journal of Offshore and Polar Engineering 2.03 (1992).Google Scholar
Dempsey, J. P., Adamson, R. M., and Mulmule, S. V.. “Scale effects on the in-situ tensile strength and fracture of ice. Part II: First-year sea ice at Resolute, NWT.” International journal of fracture 95.1-4, pp.347 (1999).CrossRefGoogle Scholar
Lu, Wenjun, Lubbad, Raed, and Løset, Sveinung. “In-plane fracture of an ice floe: A theoretical study on the splitting failure mode.” Cold Regions Science and Technology 110B, pp.77–101 (2015).CrossRefGoogle Scholar
Ashton, G. H. E. “River and Lake Ice Engineering Water Resources Publications.” Littleton, CO (1986).Google Scholar
Kerr, Arnold D. “The bearing capacity of floating ice plates subjected to static or quasi-static loads.” Journal of glaciology 17.76, pp.229–268 (1976).Google Scholar
Langhorne, P. J., Stone, K. J. L., and Smith, C. C.. “The bearing capacity of saline ice sheets: centrifugal modelling.” Canadian geotechnical journal 36.3, pp.467–481 (1999).CrossRefGoogle Scholar
Michel, Bernard. “Ice mechanics.” (1978).Google Scholar
Sodhi, Devinder S. “Breakthrough loads of floating ice sheets.” Journal of cold regions engineering 9.1, pp.4–22 (1995).CrossRefGoogle Scholar
Squire, Vernon A., et al.Moving loads on ice plates. Vol. 45. Springer Science & Business Media, 2012.Google Scholar
Lu, Wenjun, Lubbad, Raed, and Løset, Sveinung. “Out-of-plane failure of an ice floe: radial-crack-initiation-controlled fracture.” Cold Regions Science and Technology 119, pp.183–203 (2015).CrossRefGoogle Scholar
Silling, Stewart A. “Reformulation of elasticity theory for discontinuities and long-range forces.” Journal of the Mechanics and Physics of Solids 48.1, pp.175–209 (2000).CrossRefGoogle Scholar
Mulmule, S. V., and Dempsey, J. P.. “Scale effects on sea ice fracture.” Mechanics of Cohesive-frictional Materials: An International Journal on Experiments, Modelling and Computation of Materials and Structures 4.6, pp.505–524 (1999).3.0.CO;2-P>CrossRefGoogle Scholar
Vazic, B., Oterkus, E., and Oterkus, S.. “Peridynamic approach for modelling ice-structure interactions.” Trends in the Analysis and Design of Marine Structures: Proceedings of the 7th International Conference on Marine Structures (MARSTRUCT 2019, Dubrovnik, Croatia, 6-8 May 2019). CRC Press, (2019).Google Scholar
Diyaroglu, C., et al. “Peridynamics for bending of beams and plates with transverse shear deformation.” International Journal of Solids and Structures 69, pp.152–168 (2015).CrossRefGoogle Scholar
Vazic, Bozo, Oterkus, Erkan, and Oterkus, Selda. “Peridynamic model for a Mindlin plate resting on a Winkler elastic foundation.” Journal of Peridynamics and Nonlocal Modeling (2019).Google Scholar
Bobaru, Florin, et al. “Convergence, adaptive refinement, and scaling in 1D peridynamics.” International Journal for Numerical Methods in Engineering 77.6, pp.852–877 (2009).CrossRefGoogle Scholar
Kilic, B., and Madenci, E.. “An adaptive dynamic relaxation method for quasi-static simulations using the peridynamic theory.” Theoretical and Applied Fracture Mechanics 53.3, pp.194–204 (2010).CrossRefGoogle Scholar
Nevel, Donald E.A semi-infinite plate on an elastic foundation. No. RR-136. COLD REGIONS RESEARCH AND ENGINEERING LAB HANOVER NH, (1965).Google Scholar
Schulson, Erland M., and Duval, Paul. Creep and fracture of ice. (2009).CrossRefGoogle Scholar