Online citations, reference lists, and bibliographies.
← Back to Search

Mesoscale Modeling Of Nonlinear Elasticity And Fracture In Ceramic Polycrystals Under Dynamic Shear And Compression

J. D. Clayton, R. H. Kraft, R. B. Leavy
Published 2012 · Materials Science

Cite This
Download PDF
Analyze on Scholarcy
Share
Dynamic deformation and failure mechanisms in polycrystalline ceramics are investigated through constitutive modeling and numerical simulation. Two ceramics are studied: silicon carbide (SiC, hexagonal crystal structure) and aluminum oxynitride (AlON, cubic crystal structure). Three dimensional finite element simulations incorporate nonlinear anisotropic elasticity for behavior of single crystals within polycrystalline aggregates, cohesive zone models for intergranular fracture, and contact interactions among fractured interfaces. Boundary conditions considered include uniaxial strain compression, uniaxial stress compression, and shear with varying confinement, all at high loading rates. Results for both materials demonstrate shear-induced dilatation and increasing shear strength with increasing confining pressure. Failure statistics for unconfined loading exhibit a smaller Weibull modulus (corresponding to greater scatter in peak failure strength) in AlON than in SiC, likely a result of lower prescribed cohesive fracture strength and greater elastic anisotropy in the former. In both materials, the predicted Weibull modulus tends to decrease with an increasing number of grains contained in the simulated microstructure.
This paper references
10.1016/J.MECHMAT.2003.12.003
Micromechanical investigation of heterogeneous microplasticity in ceramics deformed under high confining stresses
D. Zhang (2005)
10.1016/S0167-6636(02)00287-9
A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part II: Numerical examples
H. Espinosa (2003)
Compression and shear wave measurements
G. Yuan (2001)
10.1016/J.JEURCERAMSOC.2008.03.046
AlON: A brief history of its emergence and evolution
J. Mccauley (2009)
10.1063/1.1468903
Response of silicon carbide to high velocity impact
T. Holmquist (2002)
Simulation of microplasticity-induced
M. Wu (2005)
10.1016/J.SCRIPTAMAT.2006.02.017
3D reconstruction of microstructure in a commercial purity aluminum
A. Brahme (2006)
Multiscale Modeling of Armor Ceramics: Focus on AlON
George A. Gazonas (2011)
Atomic structure and elastic properties at high pressure of aluminum oxynitride in cubic phase
Iskander G Batyrev (2011)
10.1007/S10704-010-9470-0
A grain-scale study of spall in brittle materials
James Wesley Foulk (2010)
Shock properties of aluminum oxynitride
B Vaughan (2001)
10.1117/12.439181
How to do a Weibull statistical analysis of flexural strength data: application to AlON, diamond, zinc selenide, and zinc sulfide
C. Klein (2001)
10.1063/1.367252
High-strain-rate deformation and comminution of silicon carbide
C. Shih (1998)
10.1063/1.55698
Damage kinetics in silicon carbide
I. Pickup (2008)
10.1146/ANNUREV.MATSCI.37.052506.084401
Three-Dimensional Characterization of Microstructure by Electron Back-Scatter Diffraction
A. Rollett (2007)
Effect of microstructure and mechanical properties on the ballistic performance of SiCbased ceramics
D. Ray (2007)
10.1007/BF00554991
Mechanical behaviour of polycrystalline TiC
A. P. Katz (1983)
10.1007/S11837-010-0004-Z
Beyond hardness: Ceramics and ceramic-based composites for protection
J. C. LaSalvia (2010)
10.1002/9780470944004.CH13
Multiscale Modeling of Armor Ceramics
Reuben H. Kraft (2010)
10.1007/S10704-009-9409-5
Deformation, fracture, and fragmentation in brittle geologic solids
John D. Clayton (2010)
10.1007/978-94-007-0350-6
Nonlinear Mechanics of Crystals
J. D. Clayton (2010)
10.1115/1.4002434
A Nonlinear Thermomechanical Model of Spinel Ceramics Applied to Aluminum Oxynitride (AlON)
J. D. Clayton (2011)
10.1016/0020-7225(78)90066-6
Mechanics of penetration and perforation
M. L. Wilkins (1978)
10.2172/920770
Uniaxial and triaxial compression tests of silicon carbide ceramics under quasi-static loading condition.
R. Brannon (2005)
10.1080/095008399176706
Tensile strength and fracture of a tilt grain boundary in cubic SiC : a first-principles study
M. Kohyama (1999)
10.1111/J.1744-7402.2010.02517.X
Size‐Scaling of Tensile Failure Stress in a Hot‐Pressed Silicon Carbide
A. Wereszczak (2010)
Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena, with K. P. Staudhammer and M. A. Meyers , Elsevier Science Publishers, New York,
Lawrence E. Murr (2013)
10.1016/J.ACTAMAT.2010.11.034
Nanoindentation characterization of deformation and failure of aluminum oxynitride
Junjie Guo (2011)
10.1016/J.ACTAMAT.2003.09.036
Dynamic strength and fragmentation of hot-pressed silicon carbide under uniaxial compression
Hong Wang (2004)
10.1016/J.JMPS.2008.03.009
Computational micromechanics of dynamic compressive loading of a brittle polycrystalline material using a distribution of grain boundary properties
R. Kraft (2008)
10.1016/J.JMPS.2004.06.009
Dynamic plasticity and fracture in high density polycrystals: constitutive modeling and numerical simulation
J. D. Clayton (2005)
10.1016/0734-743X(93)90108-J
Micromechanical model for comminution and granular flow of brittle material under high strain rate application to penetration of ceramic targets
D. Curran (1993)
10.1016/J.ACTAMAT.2008.05.036
A statistical investigation of the effects of grain boundary properties on transgranular fracture
R. Kraft (2008)
10.1023/A:1007672422700
Failure mode transition in ceramics under dynamic multiaxial compression
W. Chen (2000)
10.1016/J.IJSOLSTR.2010.04.034
Statistical characterization of meso-scale uniaxial compressive strength in brittle materials with randomly occurring flaws
L. Graham-Brady (2010)
Third-order elastic constants of Al 2 O 3
R Hankey (1970)
10.1016/J.IJIMPENG.2007.02.002
A model for deformation and fragmentation in crushable brittle solids
J. D. Clayton (2008)
10.1111/J.1744-7402.2010.02501.X
Flexural Strength, Fracture Toughness, and Hardness of Silicon Carbide and Boron Carbide Armor Ceramics
Lionel Vargas-Gonzalez (2010)
10.1002/3527603786.CH4
The Monte Carlo Method
A. Rollett (2005)
10.1063/1.1365438
Compression and shear wave measurements to characterize the shocked state in silicon carbide
G. Yuan (2001)
10.1134/1.1778443
Effect of pressure on the elastic properties of silicon carbide
S. Davydov (2004)
10.1016/J.IJPLAS.2010.01.014
Modeling Finite Deformations in Trigonal Ceramic Crystals with Lattice Defects
John D. Clayton (2010)
10.1016/J.IJSOLSTR.2005.02.031
Modeling Dynamic Plasticity and Spall Fracture in High Density Polycrystalline Alloys
J. D. Clayton (2005)
10.1016/0734-743X(90)90002-D
Failure phenomenology of confined ceramic targets and impacting rods
D. Shockey (1990)
Shock properties of AlON Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena
J Cazamias (2001)
10.1063/1.366704
Material strength and inelastic deformation of silicon carbide under shock wave compression
R. Feng (1998)
10.1016/B978-008043896-2/50102-9
Spall strengths of silicon carbides under shock loading
D. Dandekar (2001)
10.2307/2344459
Probability and Statistics for Engineers and Scientists.
G. Kanji (1978)
10.1016/J.JMPS.2007.06.013
Heterogeneous deformation and spall of an extruded tungsten alloy : plate impact experiments and crystal plasticity modeling
T. Vogler (2008)
10.1117/12.607596
Characterization of ALON optical ceramic
C. T. Warner (2005)
10.1016/S0020-7683(03)00317-2
Finite polycrystalline elastoplasticity and damage: multiscale kinematics
J. D. Clayton (2003)
10.1016/J.COMPOSITESB.2009.01.009
Modeling Effects of Crystalline Microstructure, Energy Storage Mechanisms, and Residual Volume Changes on Penetration Resistance of Precipitate-Hardened Aluminum Alloys
J. D. Clayton (2009)
Presto 4 . 16 user ’ s guide
J. Jung (2010)
10.1016/S0167-6636(98)00015-5
Shock-wave compression of brittle solids
D. Grady (1998)
10.1063/1.366100
The elastic constants of silicon carbide: A Brillouin-scattering study of 4H and 6H SiC single crystals
K. Kamitani (1997)
10.1002/9780470291368.CH7
Effect of Microstructure and Mechanical Properties on the Ballistic Performance of SiC‐Based Ceramics
Darin A. Ray (2007)
10.1063/1.342659
Material properties determining the resistance of ceramics to high velocity penetration
J. Sternberg (1989)
Indentation Size Effect (ISE) of Transparent AION and MgAl2O4
P. Patel (2006)
10.1063/1.2263324
Plasticity and Spall in High Density Polycrystals: Modeling and Simulation
J. D. Clayton (2005)
comminution of silicon carbide
D. Shockey (1990)
10.1063/1.2833129
Sstatistics of the Hugoniot Elastic Limit from Line VISAR.
M. D. Furnish (2007)
silicon carbide under uniaxial compression
T. Hartnett (2005)
10.1121/1.1912116
Third‐Order Elastic Constants of Al2O3
Robert E. Hankey (1970)
10.1111/J.1151-2916.1988.TB07527.X
Elastic properties of polycrystalline aluminum oxynitride spinel and their dependence on pressure, temperature, and composition
Earl K. Graham (1988)
10.2172/984159
KAYENTA : theory and user's guide.
R. Brannon (2009)
Shock properties of aluminum oxynitride
W. Proud (2001)
Spall strengths of silicon carbide under shock loading Fundamental Issues and Applications of Shock-Wave and High-Strain-Rate Phenomena
D Dandekar (2001)
10.1016/J.IJPLAS.2004.05.010
Simulation of microplasticity-induced deformation in uniaxially strained ceramics by 3-D Voronoi polycrystal modeling
K. Zhang (2005)
10.1007/S11661-007-9310-7
Validating Theories for Brittle Damage
R. Brannon (2007)
10.1111/J.1551-2916.2008.02712.X
Dynamic Compressive Failure of AlON Under Controlled Planar Confinement
B. Paliwal (2008)
10.1111/J.1744-7402.2010.02487.X
The Use of Sphere Indentation Experiments to Characterize Ceramic Damage Models
R. B. Leavy (2010)
10.1016/0955-2219(89)90030-7
Aluminum oxynitride spinel: A review
N. D. Corbin (1989)
10.1016/J.TAFMEC.2006.03.001
Continuum multiscale modeling of finite deformation plasticity and anisotropic damage in polycrystals
J. D. Clayton (2006)
10.1063/1.2833120
SHEAR STRENGTH OF ALUMINUM OXYNITRIDE
D. Dandekar (2007)
Three-Dimensional Characterization of Microstructure by Electron BackScatter Diffraction
A. Rollett (2007)
10.1063/1.1707824
Third-Order Elastic Coefficients of Quartz
R. N. Thurston (1966)
10.1063/1.3277030
Modeling Nonlinear Electromechanical Behavior of Shocked Silicon Carbide
John D. Clayton (2010)
10.1016/S0167-6636(02)00285-5
A grain level model for the study of failure initiation and evolution in polycrystalline brittle materials. Part I: Theory and numerical implementation
H. Espinosa (2003)
10.1007/BF00550614
Mechanical behaviour of polycrystalline BeO, Al2O3 and AlN at high pressure
H. C. Heard (1980)
10.1098/rspa.2008.0281
A continuum description of nonlinear elasticity, slip and twinning, with application to sapphire
J. D. Clayton (2008)
10.1016/J.MECHMAT.2003.08.001
Homogenized finite elastoplasticity and damage: theory and computations
J. D. Clayton (2004)
10.1002/NME.427
Modelling of failure mode transition in ballistic penetration with a continuum model describing microcracking and flow of pulverized media
B. A. Gailly (2002)
10.1002/NAG.1610030206
An algorithm and a modular subroutine for the CAP model
I. Sandler (1979)
10.1111/J.1151-2916.1994.TB04641.X
Hardness-grain-size relations in ceramics
R. W. Rice (1994)
Atomic structure and elastic properties at high pressure of aluminum oxynitride in cubic phase. In: APS March Meeting
I. Batyrev (2011)
10.1119/1.1987046
Thermodynamics of Crystals
D. Wallace (1972)
10.1107/S0365110X53000909
`Third‐order' elastic coefficients
R. Hearmon (1953)
10.1111/J.1151-2916.1983.TB10084.X
Intergranular Crack‐Deflection Toughening in Silicon Carbide
K. Faber (1983)
10.1007/978-3-642-69571-1_2
Waves in solids
R. N. Thurston (1974)



This paper is referenced by
10.1109/GLOSIC.2018.8570143
Voxel Micro-Modeling of Composite Structures Based on Scanning of Material Real Objects
E.I. Shchurova (2018)
10.1103/PhysRevLett.121.216001
First-Principles Calculation of Third-Order Elastic Constants via Numerical Differentiation of the Second Piola-Kirchhoff Stress Tensor.
Tengfei Cao (2018)
10.1016/J.CERAMINT.2017.02.121
Voronoi cell finite element modelling of the intergranular fracture mechanism in polycrystalline alumina
Zhiyong Wang (2017)
10.1016/J.MECHRESCOM.2013.02.005
Mesoscale modeling of dynamic compression of boron carbide polycrystals
John D. Clayton (2013)
10.1016/J.IJSOLSTR.2015.03.024
A Nonlinear Anisotropic Elastic–Inelastic Constitutive Model for Polycrystalline Ceramics and Minerals with Application to Boron Carbide
J. D. Clayton (2015)
10.1007/S00161-017-0604-8
Continuum modeling of twinning, amorphization, and fracture: theory and numerical simulations
John D. Clayton (2018)
10.1016/J.IJSOLSTR.2019.02.016
Phase field modeling of heterogeneous microcrystalline ceramics
John D. Clayton (2019)
Army Research Laboratory Aberdeen Proving Ground , MD 21005-5069 ARL-RP-459 September 2013 Edge on Impact Simulations and Experiments
Brian Leavy (2013)
10.2495/SUSI160021
Effective FEA design of hard face composite structures to stop armor piercing projectiles
G. A. Forental (2016)
10.1142/S021988781850113X
Generalized Pseudo-Finlser Geometry Applied to the Nonlinear Mechanics of Torsion of Crystalline Solids
J. D. Clayton (2018)
10.1016/j.ijimpeng.2019.103393
A model incorporating damage evolution to predict the penetration behavior of a ceramic target subjected to the long projectile impact
Z. Wang (2020)
10.1142/S2424913018400015
Geometric micromechanical modeling of structure changes, fracture and grain boundary layers in polycrystals
John D. Clayton (2018)
10.1007/s10704-017-0211-5
Finsler-geometric continuum dynamics and shock compression
J. D. Clayton (2017)
10.1007/978-3-030-15330-4_10
Fracture and Flow in Brittle Solids
John D. Clayton (2019)
10.15593/perm.mech/eng.2018.1.08
EXPERIMENTAL INVESTIGATION AND NUMERICAL MODELING OF ELASTIC PROPERTIES AND STRENGTH OF POROUS CERAMICS
A. V. Ignatova (2015)
10.1016/J.CMA.2016.01.023
Phase Field Modeling and Simulation of Coupled Fracture and Twinning in Single Crystals and Polycrystals
J. D. Clayton (2016)
Wang, Z. and Li, P. (2017) Voronoi cell finite element modelling of the intergranular fracture mechanism in polycrystalline alumina. Ceramics
P. Li (2018)
10.1016/J.IJSOLSTR.2014.07.026
Multi-scale constitutive modeling of Ceramic Matrix Composites by Continuum Damage Mechanics
A. Shojaei (2014)
10.21236/ada614253
Reformulation of Nonlinear Anisotropic Crystal Elastoplasticity for Impact Physics
J. Clayton (2015)
10.1134/S1029959916010082
Molecular dynamics study of lattice rearrangement under mechanically activated diffusion
A. Nikonov (2016)
10.21236/ada597897
A Reformulation of Nonlinear Anisotropic Elasticity for Impact Physics
John D. Clayton (2014)
10.1016/J.PROENG.2013.05.051
Edge on Impact Simulations and Experiments
R. B. Leavy (2013)
10.1016/J.IJIMPENG.2015.06.025
Penetration resistance of armor ceramics: Dimensional analysis and property correlations
John D. Clayton (2015)
10.1007/978-3-030-15330-4_11
Finsler-Geometric Modeling of Structural Changes in Solids
J. D. Clayton (2019)
10.1007/S00466-019-01670-X
A convected-particle tetrahedron interpolation technique in the material-point method for the mesoscale modeling of ceramics
R. B. Leavy (2019)
10.1016/J.JMPS.2013.05.009
Nonlinear Eulerian thermoelasticity for anisotropic crystals
J. D. Clayton (2013)
10.1016/J.DT.2016.02.004
Dimensional Analysis and Extended Hydrodynamic Theory Applied to Long-Rod Penetration of Ceramics
J. D. Clayton (2016)
10.2174/1872212110666161028160205
Methods for Analysis and Simulation of Ballistic Impact
J. D. Clayton (2017)
10.1063/1.3686456
Dynamic Compressibility, Shear Strength, and Fracture Behavior of Ceramic Microstructures Predicted From Mesoscale Models
J. D. Clayton (2012)
10.1088/1361-651X/AB359C
Combined crystal plasticity and grain boundary modeling of creep in ferritic-martensitic steels: I. Theory and implementation
Omar Nassif (2019)
10.1016/J.COMMATSCI.2014.11.009
Phase Field Modeling of Directional Fracture in Anisotropic Polycrystals
J. D. Clayton (2015)
10.1016/J.GEOMPHYS.2016.11.011
Finsler geometry of nonlinear elastic solids with internal structure
J. D. Clayton (2017)
See more
Semantic Scholar Logo Some data provided by SemanticScholar