A computational framework for modelling impact induced damage in ceramic and ceramic-metal composite structures

Abstract When ceramic or ceramic-metal composite structures are subjected to impact loading, they undergo various deformation phases such as plastic yielding, pulverization, fragmentation, tensile spalling, interface debonding, penetration etc. In order to study these phenomenological characteristics and produce insightful observation, numerical simulation is inevitable. Apart from reasonably accurate constitutive model, a numerical scheme must also accommodate any possible loss (in the case of fragmentation and material separation) of the continuum nature of the problem domain. This is generally difficult to achieve through mesh-based methods. In this study a computational framework based on smoothed particle hydrodynamics (SPH), a particle-based method, is explored and revamped. Damage growth and localized cracks are modelled through a pseudo-spring analogy, wherein particle-interactions are modulated based on material strength reduction after damage initiation. Different material models are coupled in this analogy for investigating different paradigms of penetration mechanics in ceramic and ceramic-metal composites. The computational framework is first validated through experimentally obtained results of flyer plate tests on Silicon Carbide (SiC) disc. Subsequently the framework is explored in simulating more complex failure mechanisms involving multiaxial crack interaction and fragmentation in ceramic-metal composite target system.

[1]  Kamran Behdinan,et al.  Numerical simulation of normal and oblique ballistic impact on ceramic composite armours , 2004 .

[2]  Marc Duflot,et al.  Meshless methods: A review and computer implementation aspects , 2008, Math. Comput. Simul..

[3]  Rade Vignjevic,et al.  A treatment of zero-energy modes in the smoothed particle hydrodynamics method , 2000 .

[4]  J. Mier,et al.  Fracture mechanisms in particle composites: statistical aspects in lattice type analysis , 2002 .

[5]  Martin Ostoja-Starzewski,et al.  Lattice models in micromechanics , 2002 .

[6]  D. Grady,et al.  Shock compression profiles in ceramics , 1996 .

[7]  Mark A Fleming,et al.  Meshless methods: An overview and recent developments , 1996 .

[8]  L. M. Taylor,et al.  Microcrack-induced damage accumulation in brittle rock under dynamic loading , 1986 .

[9]  S. Reid,et al.  Optimised form of acceleration correction algorithm within SPH-based simulations of impact mechanics , 2011 .

[10]  W. Benz,et al.  Simulations of brittle solids using smooth particle hydrodynamics , 1995 .

[11]  G. R. Johnson,et al.  Response of silicon carbide to high velocity impact , 2002 .

[12]  J. Monaghan,et al.  SPH elastic dynamics , 2001 .

[13]  G. R. Johnson,et al.  An improved computational constitutive model for brittle materials , 2008 .

[14]  Larry D. Libersky,et al.  Smooth particle hydrodynamics with strength of materials , 1991 .

[15]  Stephen R Reid,et al.  Heuristic acceleration correction algorithm for use in SPH computations in impact mechanics , 2009 .

[16]  C. Hayhurst,et al.  Numerical simulation of long rods impacting silicon carbide targets using JH-1 model , 2006 .

[17]  J. Monaghan,et al.  Shock simulation by the particle method SPH , 1983 .

[18]  Mark A Fleming,et al.  Continuous meshless approximations for nonconvex bodies by diffraction and transparency , 1996 .

[19]  G. R. Johnson,et al.  Response of aluminum nitride (including a phase change) to large strains, high strain rates, and high pressures , 2003 .

[20]  R. P. Ingel,et al.  Addressing Tension Instability in SPH Methods. , 1994 .

[21]  S. A. Medin,et al.  Smoothed Particle Hydrodynamics Using Interparticle Contact Algorithms , 2002 .

[22]  G. R. Johnson,et al.  Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures , 1985 .

[23]  M. H. Yas,et al.  An analytical model for perforation of ceramic/multi-layered planar woven fabric targets by blunt projectiles , 2011 .

[24]  D. Agard,et al.  Microtubule nucleation by γ-tubulin complexes , 2011, Nature Reviews Molecular Cell Biology.

[25]  M. Shokrieh,et al.  Penetration analysis of a projectile in ceramic composite armor , 2008 .

[26]  Sukanta Chakraborty,et al.  A pseudo-spring based fracture model for SPH simulation of impact dynamics , 2013 .

[27]  J. Monaghan,et al.  Smoothed particle hydrodynamics: Theory and application to non-spherical stars , 1977 .

[28]  T. Belytschko,et al.  MODELING HOLES AND INCLUSIONS BY LEVEL SETS IN THE EXTENDED FINITE-ELEMENT METHOD , 2001 .

[29]  Dattatraya P. Dandekar,et al.  Tensile Strengths of Silicon Carbide (SiC) Under Shock Loading , 2001 .

[30]  L. Lucy.  A numerical approach to the testing of the fission hypothesis. , 1977 .

[31]  G. R. Johnson,et al.  SPH for high velocity impact computations , 1996 .

[32]  Ramón Zaera,et al.  Analytical modelling of normal and oblique ballistic impact on ceramic/metal lightweight armours , 1998 .

[33]  Joseph John Monaghan,et al.  SPH and Riemann Solvers , 1997 .

[34]  Tore Børvik,et al.  Perforation of 12 mm thick steel plates by 20 mm diameter projectiles with flat, hemispherical and c , 2002 .

[35]  Stephan Bless,et al.  Computational modeling of the penetration response of a high-purity ceramic , 2002 .

[36]  E. Grüneisen,et al.  Theorie des festen Zustandes einatomiger Elemente , 1912 .

[37]  E. Garboczi,et al.  FRACTURE SIMULATIONS OF CONCRETE USING LATTICE MODELS : COMPUTATIONAL ASPECTS , 1997 .

[38]  T. Belytschko,et al.  Element‐free Galerkin methods , 1994 .

[39]  Harpreet Singh,et al.  Analytical modeling of low velocity large mass impact on composite plate including damage evolution , 2016 .

[40]  Francesco Marulo,et al.  Parametric study of a SPH high velocity impact analysis – A birdstrike windshield application , 2013 .

[41]  L. Hernquist,et al.  TREESPH: A Unification of SPH with the Hierarchical Tree Method , 1989 .

[42]  Debasish Roy,et al.  Stabilized SPH-based simulations of impact dynamics using acceleration-corrected artificial viscosity , 2012 .

[43]  Bhushan Lal Karihaloo,et al.  Lattice modelling of the failure of particle composites , 2003 .

[44]  G. Mie.  Zur kinetischen Theorie der einatomigen Körper , 1903 .

[45]  Stephen R Reid,et al.  Applications of SPH with the acceleration correction algorithm in structural impact computations , 2009 .

[46]  J. Monaghan.  Smoothed particle hydrodynamics , 2005 .