Blunt and Ballistic Impacts On Human Head Models: An Analytical And Numerical Study

[1]  C. Zener.  The Intrinsic Inelasticity of Large Plates , 1941 .

[2]  E. Reissner.  Stresses and Small Displacements of Shallow Spherical Shells. I , 1946 .

[3]  W. Güttinger.  Der Stoßeffekt auf eine Flüssigkeitskugel als Grundlage einer physikalischen Theorie der Entstehung von Gehirnverletzungen , 1950 .

[4]  J. Tillett.  CORRIGENDUM: A Study of the Impact of Spheres on Plates , 1954 .

[5]  G. F. Miller,et al.  On the partition of energy between elastic waves in a semi-infinite solid , 1955, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[6]  S. C. Hunter.  Energy absorbed by elastic waves during impact , 1957 .

[7]  R. Landel,et al.  The Strain‐Energy Function of a Hyperelastic Material in Terms of the Extension Ratios , 1967 .

[8]  E. H. Harris,et al.  Scaling of Experimental Data on Cerebral Concussion in Sub-Human Primates to Concussion Threshold for Man , 1967 .

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

[10]  A. H. Shah,et al.  Three-Dimensional and Shell-Theory Analysis of Elastic Waves in a Hollow Sphere: Part 1—Analytical Foundation , 1969 .

[11]  A. E. Engin,et al.  The axisymmetric response of a fluid-filled spherical shell to a local radial impulse--a model for head injury. , 1969, Journal of biomechanics.

[12]  Y. K. Liu,et al.  Axisymmetric response of a fluid-filled sphericaal shell in free vibrations. , 1970, Journal of biomechanics.

[13]  J. Mcelhaney,et al.  Development of a Mechanical Model of the Human Head - Determination of Tissue Properties and Synthetic Substitute Materials , 1970 .

[14]  R. Ogden.  Large deformation isotropic elasticity – on the correlation of theory and experiment for incompressible rubberlike solids , 1972, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[15]  W. Goldsmith,et al.  Impact on a simple physical model of the head. , 1973, Journal of biomechanics.

[16]  W. Goldsmith,et al.  Impact on a model head-helmet system , 1974 .

[17]  K. H. Hunt,et al.  Coefficient of Restitution Interpreted as Damping in Vibroimpact , 1975 .

[18]  H. D. Fisher.  The Impact of an Elastic Sphere on a Thin Elastic Plate Supported by a Winkler Foundation , 1975 .

[19]  Y. Fung,et al.  The stress-strain relationship for the skin. , 1976, Journal of biomechanics.

[20]  C. Soderstrom,et al.  A New Nonpenetrating Ballistic Injury , 1978, Annals of surgery.

[21]  Y. Fung,et al.  Pseudoelasticity of arteries and the choice of its mathematical expression. , 1979, The American journal of physiology.

[22]  P. M. Naghdi,et al.  A Remark on the Use of the Decomposition F = FeFp in Plasticity , 1980 .

[23]  B. Jennett,et al.  Serious head injury in sport. , 1980, British medical journal.

[24]  R. Christensen.  A Nonlinear Theory of Viscoelasticity for Application to Elastomers , 1980 .

[25]  D. Steinberg,et al.  A constitutive model for metals applicable at high-strain rate , 1980 .

[26]  J. C. Misra,et al.  Stability of fluid-filled spheroidal and spherical shells — Mathematical models for human head , 1982 .

[27]  D. Parkinson.  The biomechanics of concussion. , 1982, Clinical neurosurgery.

[28]  D. Viano,et al.  Comparison of human skull and spherical shell vibrations—implications for head injury modeling , 1982 .

[29]  Y. Lanir.  Constitutive equations for fibrous connective tissues. , 1983, Journal of biomechanics.

[30]  R. Ogden.  Non-Linear Elastic Deformations , 1984 .

[31]  D. C. H. Yang,et al.  A Rotary Model for Spur Gear Dynamics , 1985 .

[32]  J. Reed.  Energy losses due to elastic wave propagation during an elastic impact , 1985 .

[33]  C. Y. Warner,et al.  Force/deflection and fracture characteristics of the temporo-parietal region of the human head , 1991 .

[34]  P. Brennan.  Golf related head injuries in children. , 1991, BMJ.

[35]  W. Goldsmith,et al.  Penetration of laminated Kevlar by projectiles. I : Experimental investigation , 1992 .

[36]  C. Truesdell,et al.  The Non-Linear Field Theories Of Mechanics , 1992 .

[37]  W. Goldsmith,et al.  Penetration of laminated Kevlar by projectiles—II. Analytical model , 1992 .

[38]  R. Souchet.  Concerning the polar decomposition of the deformation gradien , 1993 .

[39]  Q. Zheng.  Theory of Representations for Tensor Functions—A Unified Invariant Approach to Constitutive Equations , 1994 .

[40]  J. Weiss,et al.  Finite element implementation of incompressible, transversely isotropic hyperelasticity , 1996 .

[41]  D. J. Thomas,et al.  Biomechanics of skull fracture. , 1995, Journal of neurotrauma.

[42]  D P Pioletti,et al.  Viscoelastic constitutive law in large deformations: application to human knee ligaments and tendons. , 1998, Journal of biomechanics.

[43]  C. L. Morfey,et al.  Intracranial pressure transients caused by head impacts , 1998 .

[44]  Yang Wang,et al.  The effects of strain rate on the mechanical behaviour of kevlar fibre bundles: an experimental and theoretical study , 1998 .

[45]  D. Fotiadis,et al.  The effect of viscoelastic brain on the dynamic characteristics of the human skull-brain system , 1998 .

[46]  D. Oleske,et al.  An Epidemiologic Survey of Injury in Golfers , 1998 .

[47]  J. Barbera,et al.  Contact mechanics , 1999 .

[48]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[49]  J. Sarron,et al.  Consequences of nonpenetrating projectile impact on a protected head: study of rear effects of protections. , 2000, The Journal of trauma.

[50]  D. Maugis.  Contact, Adhesion and Rupture of Elastic Solids , 2000 .

[51]  D. Meaney,et al.  Tissue-level thresholds for axonal damage in an experimental model of central nervous system white matter injury. , 2000, Journal of biomechanical engineering.

[52]  Gerhard A. Holzapfel,et al.  Nonlinear Solid Mechanics: A Continuum Approach for Engineering Science , 2000 .

[53]  M. Hayes,et al.  Unsheared triads and extended polar decompositions of the deformation gradient , 2001 .

[54]  W Goldsmith,et al.  The state of head injury biomechanics: past, present, and future: part 1. , 2001, Critical reviews in biomedical engineering.

[55]  Xin-Lin Gao.  Two displacement methods for in-plane deformations of orthotropic linear elastic materials , 2001 .

[56]  Steve Rothberg,et al.  Measurement of contact time in short duration sports ball impacts: an experimental method and correlation with the perceptions of elite golfers , 2001 .

[57]  L Cannon,et al.  Behind Armour Blunt Trauma - an emerging problem , 2001, Journal of the Royal Army Medical Corps.

[58]  A. Douglas,et al.  Physically based strain invariant set for materials exhibiting transversely isotropic behavior , 2001 .

[59]  Michael J. Worswick,et al.  Combining Head Models with Composite Models to Simulate Ballistic Impacts , 2001 .

[60]  M. Worswick,et al.  NUMERICAL HEAD AND COMPOSITE HELMET MODELS TO PREDICT BLUNT TRAUMA , 2001 .

[61]  D. Steigmann.  Invariants of the Stretch Tensors and their Application to Finite Elasticity Theory , 2002 .

[62]  J. Sutherland,et al.  Finite element simulation of the orthogonal metal cutting process for qualitative understanding of the effects of crater wear on the chip formation process , 2002 .

[63]  Theory of the Inelastic Impact of Elastic Materials , 2003, cond-mat/0312005.

[64]  P. Neff,et al.  Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions , 2003 .

[65]  T. Kundu,et al.  Elastic wave propagation in anisotropic spherical curved plates , 2003 .

[66]  P. Young.  An analytical model to predict the response of fluid-filled shells to impact—a model for blunt head impacts , 2003 .

[67]  J. Humphrey.  Continuum biomechanics of soft biological tissues , 2003 .

[68]  T. Bogetti,et al.  Ballistic impact into fabric and compliant composite laminates , 2003 .

[69]  A. J. Cochran,et al.  Golf science research at the beginning of the twenty-first century , 2003, Journal of sports sciences.

[70]  M. Dobelis,et al.  A Transversely Isotropic Hyperelastic Constitutive Model of the PDL. Analytical and Computational Aspects , 2003, Computer methods in biomechanics and biomedical engineering.

[71]  K. Hayashi.  Cardiovascular solid mechanics. Cells, tissues, and organs , 2003 .

[72]  King H. Yang,et al.  A proposed injury threshold for mild traumatic brain injury. , 2004, Journal of biomechanical engineering.

[73]  Ho-Sung Kang,et al.  Three-Dimensional Human Head Finite-Element Model Validation Against Two Experimental Impacts , 1999, Annals of Biomedical Engineering.

[74]  D. Viano,et al.  Analysis of injury criteria to assess chest and abdominal injury risks in blunt and ballistic impacts. , 2004, The Journal of trauma.

[75]  V. Lubarda.  Constitutive theories based on the multiplicative decomposition of deformation gradient: Thermoelasticity, elastoplasticity, and biomechanics , 2004 .

[76]  G. Weir,et al.  The coefficient of restitution for normal incident, low velocity particle impacts , 2005 .

[77]  R. Ogden,et al.  Mechanical response of fiber-reinforced incompressible non-linearly elastic solids , 2005 .

[78]  D. J. Yeh,et al.  Golf-associated head injury in the pediatric population: a common sports injury. , 2005, Journal of neurosurgery.

[79]  C. Thornton,et al.  Energy dissipation during normal impact of elastic and elastic-plastic spheres , 2005 .

[80]  B. Scott,et al.  The Development of a Hybrid Thermoplastic Ballistic Material With Application to Helmets , 2005 .

[81]  Baumgartner Daniel,et al.  Finite element modelling of human head injuries caused by ballistic projectiles , 2005 .

[82]  Werner Goldsmith,et al.  The state of head injury biomechanics: past, present, and future part 2: physical experimentation. , 2005, Critical reviews in biomedical engineering.

[83]  J. Gillespie,et al.  Progressive Damage and Delamination in Plain Weave S-2 Glass/SC-15 Composites Under Quasi-Static Punch Shear Loading , 2005 .

[84]  Jia Lu,et al.  Physically motivated invariant formulation for transversely isotropic hyperelasticity , 2005 .

[85]  C. Horgan,et al.  A new constitutive theory for fiber-reinforced incompressible nonlinearly elastic solids , 2005 .

[86]  B. Moran,et al.  An Anisotropic Hyperelastic Constitutive Model With Fiber-Matrix Shear Interaction for the Human Annulus Fibrosus , 2006 .

[87]  F. Velardi,et al.  Anisotropic constitutive equations and experimental tensile behavior of brain tissue , 2006, Biomechanics and modeling in mechanobiology.

[88]  G. Holzapfel,et al.  A polyconvex framework for soft biological tissues. Adjustment to experimental data , 2006 .

[89]  A. Hockley.  Pediatric golf-related head injuries , 2006, Child's Nervous System.

[90]  D. Stamenović,et al.  On Extended Polar Decomposition , 2006 .

[91]  Yibin Fu,et al.  Continuum-mechanical modelling of kink-band formation in fibre-reinforced composites , 2006 .

[92]  K Tanaka,et al.  Construction of the Finite-Element Models of Golf Balls and Simulations of Their Collisions , 2006 .

[93]  S. Margulies,et al.  A transversely isotropic viscoelastic constitutive equation for brainstem undergoing finite deformation. , 2006, Journal of biomechanical engineering.

[94]  R. Rivlin.  The relation between the Valanis–Landel and classical strain-energy functions , 2006 .

[95]  C. Horgan,et al.  Limiting Chain Extensibility Constitutive Models of Valanis–Landel Type , 2007 .

[96]  E. E. Ward,et al.  Assessing behind armor blunt trauma in accordance with the National Institute of Justice Standard for Personal Body Armor Protection using finite element modeling. , 2007, The Journal of trauma.

[97]  S. Kleiven.  Predictors for traumatic brain injuries evaluated through accident reconstructions. , 2007, Stapp car crash journal.

[98]  Svein Kleiven,et al.  Evaluation of head response to ballistic helmet impacts using the finite element method , 2007 .

[99]  D. Berckmans,et al.  Biomechanics of frontal skull fracture. , 2007, Journal of neurotrauma.

[100]  J. Nguyen,et al.  Golf ball-related head injuries in children. , 2008, Pediatric neurology.

[101]  Duane S. Cronin,et al.  Ballistic impact response of laminated composite panels , 2008 .

[102]  Changhee Lee,et al.  General aspects of interface bonding in kinetic sprayed coatings , 2008 .

[103]  I. Argatov.  Asymptotic modeling of the impact of a spherical indenter on an elastic half-space , 2008 .

[104]  David Rubin,et al.  Introduction to Continuum Mechanics , 2009 .

[105]  A. Kadir Bilisik,et al.  Multidirectional Stitched Layered Aramid Woven Fabric Structures and their Experimental Characterization of Ballistic Performance , 2009 .

[106]  T. Børvik,et al.  Perforation resistance of five different high-strength steel plates subjected to small-arms projectiles , 2009 .

[107]  Mahdi Heydari,et al.  An ellipsoidal model for studying response of head impacts. , 2010, Acta of bioengineering and biomechanics.

[108]  J. Crandall,et al.  Rib fractures under anterior-posterior dynamic loads: experimental and finite-element study. , 2010, Journal of biomechanics.

[109]  R. Ogden,et al.  Constitutive modelling of arteries , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[110]  A. Peirce.  Computer Methods in Applied Mechanics and Engineering , 2010 .

[111]  H P Lee,et al.  Finite element analysis for the evaluation of protective functions of helmets against ballistic impact , 2010, Computer methods in biomechanics and biomedical engineering.

[112]  Fang Wang,et al.  Assessment of head injury of children due to golf ball impact , 2010, Computer methods in biomechanics and biomedical engineering.

[113]  S. Walsh,et al.  Impact and Ballistic Response of Hybridized Thermoplastic Laminates , 2011 .

[114]  A. Sadegh,et al.  Elastic spherical shell impacted with an elastic barrier: A closed form solution , 2011 .

[115]  Xin-Lin Gao,et al.  A unified treatment of axisymmetric adhesive contact problems using the harmonic potential function method , 2011 .

[116]  M. Panzer,et al.  Cervical Spine Model to Predict Capsular Ligament Response in Rear Impact , 2011, Annals of Biomedical Engineering.

[117]  M. J. King,et al.  Impact response of US Army and National Football League helmet pad systems , 2011 .

[118]  F. S. Gayzik,et al.  Development of a Full Body CAD Dataset for Computational Modeling: A Multi-modality Approach , 2011, Annals of Biomedical Engineering.

[119]  M. Shitikova,et al.  Dynamic response of spherical shells impacted by falling objects ∗ , 2011 .

[120]  J. Gillespie,et al.  Finite element modeling of impact, damage evolution and penetration of thick-section composites , 2011 .

[121]  Weinong W Chen,et al.  Effects of gage length, loading rates, and damage on the strength of PPTA fibers , 2011 .

[122]  Barzin Mobasher,et al.  Dynamic Tensile Testing of Kevlar 49 Fabrics , 2011 .

[123]  N. David,et al.  Stress Relaxation of a Twaron®/Natural Rubber Composite , 2011 .

[124]  Dixie Hisley,et al.  Experimental Methodology Using Digital Image Correlation to Assess Ballistic Helmet Blunt Trauma , 2011 .

[125]  Long Bin Tan,et al.  Performance of an advanced combat helmet with different interior cushioning systems in ballistic impact: Experiments and finite element simulations , 2012 .

[126]  S. G. Kulkarni,et al.  Ballistic helmets - Their design, materials, and performance against traumatic brain injury , 2012 .

[127]  A. Schaller,et al.  Transient finite element analysis of a traumatic fracture of the zygomatic bone caused by a head collision. , 2012, International journal of oral and maxillofacial surgery.

[128]  A. Srinivasa.  On the use of the upper triangular (or QR) decomposition for developing constitutive equations for Green-elastic materials , 2012 .

[129]  A. E. Baroudi,et al.  Study of a spherical head model. Analytical and numerical solutions in fluid–structure interaction approach , 2012 .

[130]  S. Ujihashi,et al.  Development and Application of Stress-Based Skull Fracture Criteria Using a Head Finite Element Model , 2012 .

[131]  P. Reis,et al.  Geometry-induced rigidity in nonspherical pressurized elastic shells. , 2012, Physical review letters.

[132]  J. G. Carrillo,et al.  Ballistic performance of thermoplastic composite laminates made from aramid woven fabric and polypropylene matrix , 2012 .

[133]  N. Prat,et al.  Contemporary body armor: technical data, injuries, and limits , 2012, European Journal of Trauma and Emergency Surgery.

[134]  King H. Yang,et al.  Development of a finite element human head model partially validated with thirty five experimental cases. , 2013, Journal of biomechanical engineering.

[135]  A. S. Blicblau,et al.  High Speed Golf Ball Impact on a Substrate , 2013 .

[136]  Erin Meyer,et al.  Design of a Helmet Liner for Improved Low Velocity Impact Protection , 2013 .

[137]  Jeremiah G Murphy,et al.  Transversely isotropic biological, soft tissue must be modelled using both anisotropic invariants , 2013 .

[138]  James D. Walker,et al.  Impacts and Waves in Dyneema ® HB80 Strips and Laminates , 2013 .

[139]  J. Lefebvre,et al.  Toroidal wave in multilayered spherical curved plates , 2013 .

[140]  Xin-Lin Gao,et al.  Strain gradient solutions of half-space and half-plane contact problems , 2013 .

[141]  D. Kansagara,et al.  Complications of Mild Traumatic Brain Injury in Veterans and Military Personnel: A Systematic Review , 2013 .

[142]  Sumit Sharma,et al.  Brain Response to Primary Blast Wave Using Validated Finite Element Models of Human Head and Advanced Combat Helmet , 2013, Front. Neurol..

[143]  Costin D Untaroiu,et al.  A Numerical Investigation on the Variation in Hip Injury Tolerance With Occupant Posture During Frontal Collisions , 2014, Traffic injury prevention.

[144]  P. Young,et al.  On the Pressure Response in the Brain due to Short Duration Blunt Impacts , 2014, PloS one.

[145]  D. Meaney,et al.  The mechanics of traumatic brain injury: a review of what we know and what we need to know for reducing its societal burden. , 2014, Journal of biomechanical engineering.

[146]  Rory P. Bigger,et al.  Dynamic Response Due to Behind Helmet Blunt Trauma Measured with a Human Head Surrogate , 2014, International journal of medical sciences.

[147]  Mariusz Ziejewski,et al.  A computational study of influence of helmet padding materials on the human brain under ballistic impacts , 2014, Computer methods in biomechanics and biomedical engineering.

[148]  Joseph B. Jordan,et al.  Progressive damage modeling of plain weave E-glass/phenolic composites , 2014 .

[149]  C. Freitas,et al.  Composite materials dynamic back face deflection characteristics during ballistic impact , 2014 .

[150]  T. Walilko,et al.  When Physics Meets Biology: Low and High-Velocity Penetration, Blunt Impact, and Blast Injuries to the Brain , 2015, Front. Neurol..

[151]  The Impact of Arbitrary Oriented Ellipsoidal Shell With a Barrier: Analytical Study , 2015 .

[152]  Bharath Koya,et al.  Development of a Computationally Efficient Full Human Body Finite Element Model , 2015, Traffic injury prevention.

[153]  Brian M. Boggess,et al.  Injuries of the Head from Backface Deformation of Ballistic Protective Helmets Under Ballistic Impact , 2015, Journal of forensic sciences.

[154]  Tongxi Yu,et al.  Collision and rebound of ping pong balls on a rigid target , 2015 .

[155]  Vincent B. C. Tan,et al.  A Review of Head Injury and Finite Element Head Models , 2015 .

[156]  J. Tomas,et al.  A novel approach to evaluate the elastic impact of spheres on thin plates , 2015 .

[157]  G. Chagnon,et al.  Hyperelastic Energy Densities for Soft Biological Tissues: A Review , 2015 .

[158]  Y. Li,et al.  Modeling of Advanced Combat Helmet Under Ballistic Impact , 2015 .

[159]  Tongxi Yu,et al.  Impact and rebound of an elastic-plastic ring on a rigid target , 2015 .

[160]  R T Cotton,et al.  Development of a geometrically accurate and adaptable finite element head model for impact simulation: the Naval Research Laboratory–Simpleware Head Model , 2016, Computer methods in biomechanics and biomedical engineering.

[161]  J. Rosny,et al.  Experimental validation of theoretical methods to estimate the energy radiated by elastic waves during an impact , 2016 .

[162]  X.-L. Gao,et al.  Fatigue of Coiled Tubing and its Influencing Factors: A Comparative Study , 2016 .

[163]  Paulo Flores,et al.  Contact Force Models for Multibody Dynamics , 2016 .

[164]  G. Genin,et al.  On the accuracy and fitting of transversely isotropic material models. , 2016, Journal of the mechanical behavior of biomedical materials.

[165]  Svein Kleiven,et al.  Behind helmet blunt trauma induced by ballistic impact : A computational model , 2016 .

[166]  Tim Schmitz,et al.  Mechanics Of Composite Materials , 2016 .

[167]  Acute Catastrophic Injuries in High School Sports , 2016 .

[168]  J. Zheng,et al.  A transversely isotropic visco-hyperelastic constitutive model for soft tissues , 2016 .

[169]  E. Kelly,et al.  GOLF IN IRELAND A STATISTICAL ANALYSIS OF PARTICIPATION , 2017 .

[170]  Xin-Lin Gao,et al.  Analytical models for the impact of a solid sphere on a fluid-filled spherical shell incorporating the stress wave propagation effect and their applications to blunt head impacts , 2017 .

[171]  S. Kleiven,et al.  The peculiar properties of the falx and tentorium in brain injury biomechanics. , 2017, Journal of biomechanics.

[172]  R. Boettcher,et al.  Energy dissipation during impacts of spheres on plates: Investigation of developing elastic flexural waves , 2017 .

[173]  Gary A. Smith,et al.  Golf‐related injuries treated in United States emergency departments , 2017, The American journal of emergency medicine.

[174]  M. Shariff.  On the spectral constitutive modelling of transversely isotropic soft tissue: Physical invariants , 2017 .

[175]  Rachel B. McGuinness,et al.  A cracking shot! depressed skull fracture sustained from a golf ball in a 16-year old , 2017, British journal of neurosurgery.

[176]  M. Kunik,et al.  Revisiting energy dissipation due to elastic waves at impact of spheres on large thick plates , 2017 .

[177]  Y. Li,et al.  The upper triangular decomposition of the deformation gradient: possible decompositions of the distortion tensor , 2018 .

[178]  G. R. Johnson,et al.  A CONSTITUTIVE MODEL AND DATA FOR METALS SUBJECTED TO LARGE STRAINS, HIGH STRAIN RATES AND HIGH TEMPERATURES , 2018 .

[179]  Xin-Lin Gao,et al.  Modeling of head injuries induced by golf ball impacts , 2019 .