Numerical modeling of ice behavior under high velocity impacts

Abstract In this work a constitutive relation for ice at high strain rates and an algorithm for its numerical integration are developed. This model is based on the Drucker–Prager plasticity criteria, which allows a different behavior in tension and in compression. In addition a failure criteria, based on pressure cut-offs, is implemented to describe the ice damage. In order to validate the constitutive model, numerical simulations were compared with experimental results, in which ice cylinders were impacted against a steel plate, allowing the measurement of the contact load. Three different numerical solvers are used in order to analyze its performance to appropriately modeling the ice behavior.

[1]  P. Dutta.  Compressive Failure of Polycrystalline Ice Under Impact , 1993 .

[2]  Keith T. Kedward,et al.  Experimental investigation of high velocity ice impacts on woven carbon/epoxy composite panels , 2003 .

[3]  Kelly S. Carney,et al.  A phenomenological high strain rate model with failure for ice , 2006 .

[4]  Milan Jirásek,et al.  Inelastic Analysis of Structures , 2001 .

[5]  D. Cole.  Crack nucleation in polycrystalline ice , 1988 .

[6]  Akhtar S. Khan,et al.  Continuum theory of plasticity , 1995 .

[7]  Hyonny Kim,et al.  Modeling Hail Ice Impacts and Predicting Impact Damage Initiation in Composite Structures , 2000 .

[8]  M. Horstemeyer,et al.  Hydrodynamic modeling of impact craters in ice , 2010 .

[9]  Sia Nemat-Nasser,et al.  Decomposition of strain measures and their rates in finite deformation elastoplasticity , 1979 .

[10]  E. Schulson.  Brittle failure of ice , 2001 .

[11]  En-Jui Lee.  Elastic-Plastic Deformation at Finite Strains , 1969 .

[12]  Marco Anghileri,et al.  A survey of numerical models for hail impact analysis using explicit finite element codes , 2005 .

[13]  Stephen J. Jones,et al.  The Confined Compressive Strength of Polycrystalline Ice , 1982 .

[14]  J. Petrovic.  Review Mechanical properties of ice and snow , 2003 .

[15]  Alain Combescure,et al.  Experimental study of high-velocity impact and fracture of ice , 2011 .

[16]  Benjamin Hagege.  SIMULATION DU COMPORTEMENT MECANIQUE DES MILIEUX FIBREUX EN GRANDES TRANSFORMATIONS : APPLICATION AUX RENFORTS TRICOTES , 2004 .

[17]  D. C. Drucker,et al.  Soil mechanics and plastic analysis or limit design , 1952 .

[18]  Bradley A. Lerch,et al.  High strain-rate behavior of ice under uniaxial compression , 2009 .

[19]  I. Doghri.  Mechanics of Deformable Solids , 2000 .

[20]  S. Nemat-Nasser.  On finite deformation elasto-plasticity , 1982 .

[21]  Sebastian Heimbs,et al.  Review: Computational methods for bird strike simulations: A review , 2011 .

[22]  T. Hughes,et al.  Finite rotation effects in numerical integration of rate constitutive equations arising in large‐deformation analysis , 1980 .

[23]  Stephen J. Jones,et al.  High Strain-Rate Compression Tests on Ice , 1997 .

[24]  Hyonny Kim,et al.  Damage resistance of single lap adhesive composite joints by transverse ice impact , 2010 .

[25]  E. Kröner,et al.  Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen , 1959 .

[26]  E. Schulson,et al.  The brittle compressive fracture of ice , 1990 .

[27]  Hyonny Kim,et al.  Compressive strength of ice at impact strain rates , 2007 .

[28]  L. W. Gold,et al.  On the elasticity of ice plates , 1988 .