Numerical analysis of impact failure of automotive laminated glass: A review

Abstract Laminated glass is a simple sandwiched composite structure, while being widely used in the automotive industry as windshield glazings. It is considered to be safety glass due to its excellent performance in absorbing impact energy and bonding glass fragments. Meanwhile, the impact failure patterns of an automotive windshield glazing contribute to the traffic accident reconstruction. In recent decades, a growing interest has been devoted to the impact failure analysis of automotive laminated glass by means of numerical simulations. The purpose of this work is to present a comprehensive review concerning this aspect. We start by introducing six numerical algorithms for the modeling of the principal damage pattern, glass-ply cracking, followed by the introduction of material models for the plastic interlayer, PVB, and then address three numerical techniques for the adhesion modeling. Three kinds of laminated glass models are summarized. Finally, the performance of the numerical algorithms on the impact failure analysis of laminated glass in terms of glass-ply cracking and acceleration history is thoroughly discussed.

[1]  Fernando A. Branco,et al.  Numerical simulation of the flexural behaviour of composite glass-GFRP beams using smeared crack models , 2017 .

[2]  Mengyan Zang Static Characteristic and Impact Fracture Behavior of Automobile Glass , 2009 .

[3]  Mengyan Zang,et al.  An approach to combining 3D discrete and finite element methods based on penalty function method , 2010 .

[4]  T. Belytschko,et al.  The extended/generalized finite element method: An overview of the method and its applications , 2010 .

[5]  Woong‐Ryeol Yu,et al.  Prediction of delamination of steel-polymer composites using cohesive zone model and peeling tests , 2017 .

[6]  Patricia C Dischinger,et al.  Pedestrian injuries and vehicle type in Maryland, 1995-1999. , 2004, Accident; analysis and prevention.

[7]  C. Sato,et al.  Experimental study on the interface fracture toughness of PVB (polyvinyl butyral)/glass at high strain rates , 2007 .

[8]  Yun Li,et al.  Crack analysis in PVB laminated windshield impacted by pedestrian head in traffic accident , 2009 .

[9]  T. Belytschko,et al.  A comparative study on finite element methods for dynamic fracture , 2008 .

[10]  Qiang Xu,et al.  Failure analysis of syntactic foams: A computational model with cohesive law and XFEM , 2016 .

[11]  Jianqiao Ye,et al.  Discrete element method for generating random fibre distributions in micromechanical models of fibre reinforced composite laminates , 2016 .

[12]  N. Orlando,et al.  A new 3D experimentally consistent XFEM to simulate delamination in FRP-reinforced concrete , 2016 .

[13]  Jun Xu,et al.  Experimental study on mechanical behavior of PVB laminated glass under quasi-static and dynamic loadings , 2011 .

[14]  M. Ortiz,et al.  Computational modelling of impact damage in brittle materials , 1996 .

[15]  P. A. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART I. A SCHEME TO DETECT AND REPRESENT CONTACTS IN A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[16]  Xin Sun,et al.  Effects of different design parameters on the stone-impact resistance of automotive windshields , 2005 .

[17]  Mengyan Zang,et al.  A three-dimensional computational framework for impact fracture analysis of automotive laminated glass , 2015 .

[18]  D. Otte,et al.  Investigation of Head Injuries by Reconstructions of Real-World Vehicle-Versus-Adult-Pedestrian Accidents , 2008 .

[19]  Paul W. Cleary,et al.  Modelling comminution devices using DEM , 2001 .

[20]  Xiaopeng Xu,et al.  Numerical simulations of fast crack growth in brittle solids , 1994 .

[21]  P. Hazell,et al.  An accurate and robust contact detection algorithm for particle‐solid interaction in combined finite‐discrete element analysis , 2015 .

[23]  M. Zang,et al.  Analysis of Impact Fracture Behavior of Laminated Glass of Bi-Layer Type Using Discrete Element Method , 1997 .

[24]  Zumei Zheng,et al.  Finite element modelling of impact damage in polyvinyl butyral laminated glass , 2016 .

[25]  Wei Xu,et al.  Four-point combined DE/FE algorithm for brittle fracture analysis of laminated glass , 2014 .

[26]  B. M. Butcher,et al.  A criterion for the time dependence of dynamic fracture , 1968 .

[27]  Charles N Mock,et al.  An Evaluation of the Association Between Vehicle Type and the Source and Severity of Pedestrian Injuries , 2005, Traffic injury prevention.

[28]  Hong Hao,et al.  The mechanical properties of Polyvinyl Butyral (PVB) at high strain rates , 2015 .

[29]  Mengyan Zang,et al.  LC-Grid: a linear global contact search algorithm for finite element analysis , 2014 .

[30]  Xin Sun,et al.  Modeling of Stone-impact Resistance of Monolithic Glass Ply Using Continuum Damage Mechanics , 2005 .

[31]  D. Thambiratnam,et al.  Influence of interlayer properties on the blast performance of laminated glass panels , 2015 .

[32]  T. Belytschko,et al.  Extended finite element method for cohesive crack growth , 2002 .

[33]  P. Foraboschi,et al.  Broken tempered laminated glass: Non-linear discrete element modeling , 2016 .

[34]  Jun Xu,et al.  Experimental and macroscopic investigation of dynamic crack patterns in PVB laminated glass sheets subject to light-weight impact , 2011 .

[35]  Lizhong Wang,et al.  An analytical solution for pre-crack behaviour of laminated glass under blast loading , 2016 .

[36]  H Maxeiner,et al.  Lethal pedestrian--passenger car collisions in Berlin. Changed injury patterns in two different time intervals. , 2009, Legal medicine.

[37]  L. Galuppi,et al.  Analytical approach à la Newmark for curved laminated glass , 2015 .

[38]  Mengyan Zang,et al.  Dynamic property and constitutive model of polyvinyl butaral material at high strain rates , 2014 .

[39]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[40]  Aswani Kumar Bandaru,et al.  Modeling of progressive damage for composites under ballistic impact , 2016 .

[41]  J. Mantari,et al.  Finite element formulation of laminated beams with capability to model the thickness expansion , 2016 .

[42]  Jun Xu,et al.  Numerical Study of PVB Laminated Windshield Cracking Upon Human Head Impact , 2010 .

[43]  J. Dear,et al.  On the blast resistance of laminated glass , 2012 .

[44]  Penghui Li,et al.  Investigation of dynamic multi-cracking behavior in PVB laminated glass plates , 2017 .

[45]  Alfonso Fernández-Canteli,et al.  Buckling of laminated-glass beams using the effective-thickness concept , 2016 .

[46]  W. Paepegem,et al.  Numerical analysis of the peel test for characterisation of interfacial debonding in laminated glass , 2015 .

[47]  Xin Sun,et al.  Modeling of Glass Fracture Damage Using Continuum Damage Mechanics - Static Spherical Indentation , 2004 .

[48]  Yan Wang,et al.  Energy absorption mechanism of polyvinyl butyral laminated windshield subjected to head impact: Experiment and numerical simulations , 2016 .

[49]  H. Fang,et al.  3-D exact solution of two-layer plate bonded by a viscoelastic interlayer with memory effect , 2017 .

[50]  Jun Xu,et al.  Quantity Effect of Radial Cracks on the Cracking Propagation Behavior and the Crack Morphology , 2014, PloS one.

[51]  Hong Hao,et al.  Laboratory test and numerical simulation of laminated glass window vulnerability to debris impact , 2013 .

[52]  A. Dahoun,et al.  Rheology of polypropylene in the solid state , 1995, Journal of Materials Science.

[53]  Mario De Stefano,et al.  Composite beam generally connected: Analytical model , 2015 .

[54]  Jikuang Yang Injury Biomechanics in Car-Pedestrian Collisions: Development, Validation and Application of Human-Body Mathematical Models , 1997 .

[55]  Karol Miller,et al.  Real-Time Nonlinear Finite Element Computations on GPU - Application to Neurosurgical Simulation. , 2010, Computer methods in applied mechanics and engineering.

[56]  Mengyan Zang,et al.  Investigation of impact fracture behavior of automobile laminated glass by 3D discrete element method , 2007 .

[57]  J. Belis,et al.  Failure mechanisms and residual capacity of annealed glass/SGP laminated beams at room temperature , 2009 .

[58]  Fabrizio Greco,et al.  A moving interface finite element formulation for layered structures , 2016 .

[59]  Hong Hao,et al.  Parametric study of laminated glass window response to blast loads , 2013 .

[60]  Jun Xu,et al.  Experimental investigation on constitutive behavior of PVB under impact loading , 2011 .

[61]  S. Kolling,et al.  Modelling of safety glass for crash simulation , 2003 .

[62]  Eric Darve,et al.  Assembly of finite element methods on graphics processors , 2011 .

[63]  Jun Xu,et al.  Different driving mechanisms of in-plane cracking on two brittle layers of laminated glass , 2014 .

[64]  S. Sanchez-Saez,et al.  Influence of the cohesive law shape on the composite adhesively-bonded patch repair behaviour , 2016 .

[65]  Sunil Saigal,et al.  Interfacial failures in a compressive shear strength test of glass/polymer laminates , 2000 .

[66]  P. Osterrieder,et al.  A finite element model for impact simulation with laminated glass , 2007 .

[67]  King H Yang,et al.  A field data analysis of risk factors affecting the injury risks in vehicle-to-pedestrian crashes. , 2008, Annals of advances in automotive medicine. Association for the Advancement of Automotive Medicine. Annual Scientific Conference.

[68]  P. Cundall,et al.  FORMULATION OF A THREE-DIMENSIONAL DISTINCT ELEMENT MODEL - PART II. MECHANICAL CALCULATIONS FOR MOTION AND INTERACTION OF A SYSTEM COMPOSED OF MANY POLYHEDRAL BLOCKS , 1988 .

[69]  F. Meer,et al.  Cohesive zone and level set method for simulation of high cycle fatigue delamination in composite materials , 2017 .

[70]  A. Munjiza The Combined Finite-Discrete Element Method , 2004 .

[71]  Jun Xu,et al.  Study of damage in windshield glazing subject to impact by a pedestrian's head , 2009 .

[72]  J. Leng,et al.  Impact properties of glass fiber/epoxy composites at cryogenic environment , 2016 .

[73]  Dietmar Otte,et al.  A Study of Adult Pedestrian Head Impact Conditions and Injury Risks in Passenger Car Collisions Based on Real-World Accident Data , 2013, Traffic injury prevention.

[74]  M. Perrella,et al.  Investigation of mode III fracture behaviour in bonded pultruded GFRP composite joints , 2017 .

[75]  I. Iordanoff,et al.  A promising way to model cracks in composite using Discrete Element Method , 2015 .

[76]  J. Mantari,et al.  Buckling and free vibration of laminated beams with arbitrary boundary conditions using a refined HSDT , 2016 .

[77]  R. Carbas,et al.  Strength and damage growth in composite bonded joints with defects , 2016 .

[78]  Jun Xu,et al.  Characteristics of windshield cracking upon low-speed impact: Numerical simulation based on the extended finite element method , 2010 .

[79]  Jianqiao Ye,et al.  A DEM model for visualising damage evolution and predicting failure envelope of composite laminae under biaxial loads , 2016 .

[80]  Koji Mizuno,et al.  Comparative analysis of vehicle-bicyclist and vehicle-pedestrian accidents in Japan. , 2003, Accident; analysis and prevention.

[81]  Guangquan Lu,et al.  Reconstruction model of vehicle impact speed in pedestrian–vehicle accident , 2009 .

[82]  Erasmo Carrera,et al.  Shell elements with through-the-thickness variable kinematics for the analysis of laminated composite and sandwich structures , 2017 .

[83]  Glaucio H. Paulino,et al.  Extrinsic cohesive modelling of dynamic fracture and microbranching instability in brittle materials , 2007 .

[84]  Zumei Zheng,et al.  An improved 3D DEM-FEM contact detection algorithm for the interaction simulations between particles and structures , 2017 .

[85]  M. Pindera,et al.  Damage evolution in cross-ply laminates revisited via cohesive zone model and finite-volume homogenization , 2016 .

[86]  Hui Zhao,et al.  An Investigation on the Head Injuries of Adult Pedestrians by Passenger Cars in China , 2013, Traffic injury prevention.

[87]  Jonathan Awerbuch,et al.  Finite element modeling of the crushing behavior of thin-walled CFRP tubes under axial compression , 2014 .

[88]  Bernard Laumon,et al.  Pedestrian injury patterns according to car and casualty characteristics in france. , 2011, Annals of advances in automotive medicine. Association for the Advancement of Automotive Medicine. Annual Scientific Conference.

[89]  T. Belytschko,et al.  Extended finite element method for three-dimensional crack modelling , 2000 .

[90]  L. Galuppi,et al.  A homogenized analysis à la Hashin for cracked laminates under equi-biaxial stress. Applications to laminated glass , 2017 .

[91]  Wei Xu,et al.  AN APPROACH TO FREELY COMBINING 3D DISCRETE AND FINITE ELEMENT METHODS , 2014 .

[92]  Paul Scullion,et al.  Injury risk to specific body regions of pedestrians in frontal vehicle crashes modeled by empirical, in-depth accident data. , 2010, Stapp car crash journal.

[93]  Yan Wang,et al.  Systematic experimental study on mechanical behavior of PVB (polyvinyl butyral) material under various loading conditions , 2012 .

[94]  Ted Belytschko,et al.  A finite element method for crack growth without remeshing , 1999 .

[95]  Sung Wook Moon,et al.  Observation and simulations of an impact on the automotive windshield using the time-dependent dynamic failure criterion , 2015 .

[96]  P. Cundall,et al.  A bonded-particle model for rock , 2004 .

[97]  T. Pyttel,et al.  Failure criterion for laminated glass under impact loading and its application in finite element simulation , 2011 .

[98]  F. Pelayo,et al.  An effective thickness to estimate stresses in laminated glass beams under dynamic loadings , 2015 .

[99]  David Hui,et al.  Mechanical behavior of composited structure filled with tandem honeycombs , 2017 .

[100]  Hai Wang,et al.  Nonlinear low-velocity impact analysis of matrix cracked hybrid laminated plates containing CNTRC layers resting on visco-Pasternak foundation , 2017 .

[101]  Bohan Liu,et al.  A numerical model on PVB laminated windshield subjected to headform low-speed impact , 2013 .

[102]  M. Zang,et al.  A ghost particle-based coupling approach for the combined finite-discrete element method , 2016 .

[103]  Hong Hao,et al.  The response of glass window systems to blast loadings: An overview , 2016 .

[104]  Saeed David Barbat,et al.  Analysis of damage in laminated automotive glazing subjected to simulated head impact , 2006 .

[105]  Xihong Zhang,et al.  Experimental and numerical study of boundary and anchorage effect on laminated glass windows under blast loading , 2015 .

[106]  Jian Yang,et al.  Simulating the breakage of glass under hard body impact using the combined finite-discrete element method , 2016 .

[107]  Gianni Royer-Carfagni,et al.  A homogenized model for the post-breakage tensile behavior of laminated glass , 2016 .

[108]  I. Iordanoff,et al.  Modeling damages and cracks growth in composite with a 3D discrete element method , 2016 .

[109]  A. Jagota,et al.  Analysis of a compressive shear test for adhesion between elastomeric polymers and rigid substrates , 2000 .

[110]  G. Rosati,et al.  Progressive damage and fracture of laminated glass beams , 2010 .

[111]  M. A. Najafabadi,et al.  Correlation of acoustic emission with finite element predicted damages in open-hole tensile laminated composites , 2017 .

[112]  Jingzhen Yang Review of Injury Biomechanics in Car-Pedestrian Collisions , 2005 .

[113]  Nimal Perera,et al.  Failure analysis of laminated glass panels subjected to blast loads , 2014 .

[114]  George Solomos,et al.  Experimental and numerical investigations of laminated glass subjected to blast loading , 2012 .

[115]  A. Munjiza,et al.  Fracture and fragmentation of thin shells using the combined finite–discrete element method , 2013 .

[116]  Hans-Wolfgang Henn,et al.  Crash Tests and the Head Injury Criterion , 1998 .

[117]  Dietmar Otte,et al.  Injury protection and accident causation parameters for vulnerable road users based on German In-Depth Accident Study GIDAS. , 2012, Accident; analysis and prevention.

[118]  A. Kullgren,et al.  Priorities of pedestrian protection--a real-life study of severe injuries and car sources. , 2010, Accident; analysis and prevention.

[119]  Wei Gao,et al.  Adaptive combined DE/FE algorithm for brittle fracture of plane stress problems , 2014 .

[120]  H. Singh,et al.  A damage evolution study of E-glass/epoxy composite under low velocity impact , 2015 .

[121]  James Lenard,et al.  Source of head injury for pedestrians and pedal cyclists: Striking vehicle or road? , 2013, Accident; analysis and prevention.

[122]  R. Willinger,et al.  Finite element modeling of crash test behavior for windshield laminated glass , 2013 .

[123]  John P. Dear,et al.  The mechanical behaviour of poly(vinyl butyral) at different strain magnitudes and strain rates , 2012, Journal of Materials Science.

[124]  Jun Xu,et al.  Experimental investigation on the radial and circular crack propagation of PVB laminated glass subject to dynamic out-of-plane loading , 2013 .

[125]  Constantinos Soutis,et al.  Modelling the structural response of GLARE panels to blast load , 2011 .

[126]  Mengyan Zang,et al.  A contact algorithm for 3D discrete and finite element contact problems based on penalty function method , 2011 .

[127]  H. Cui Simulation of ductile adhesive failure with experimentally determined cohesive law , 2016 .

[128]  Ebru Dural Analysis of delaminated glass beams subjected to different boundary conditions , 2016 .

[129]  Tan Yuanqiang,et al.  A virtual-surface contact algorithm for the interaction between FE and spherical DE , 2016 .

[130]  Glaucio H. Paulino,et al.  A compact adjacency‐based topological data structure for finite element mesh representation , 2005 .

[131]  Mengyan Zang,et al.  The simulation of laminated glass beam impact problem by developing fracture model of spherical DEM , 2014 .

[132]  Chiara Bedon,et al.  Design of blast-loaded glazing windows and facades: a review of essential requirements towards standardization , 2016 .

[133]  M. Paggi,et al.  A nonlinear finite thickness cohesive interface element for modeling delamination in fibre-reinforced composite laminates , 2017 .

[134]  W. Van Paepegem,et al.  Critical assessment of the post-breakage performance of blast loaded laminated glazing: Experiments and simulations , 2016 .

[135]  Seong H. Kim,et al.  Improvement in ballistic impact resistance of a transparent bulletproof material laminated with strengthened soda-lime silicate glass , 2015 .

[136]  David P. Thambiratnam,et al.  Numerical modelling and analysis of the blast performance of laminated glass panels and the influence of material parameters , 2014 .

[137]  Aled Williams,et al.  The European New Car Assessment Programme: A historical review , 2016, Chinese journal of traumatology = Zhonghua chuang shang za zhi.

[138]  Jingwen Hu,et al.  TOWARD DESIGNING PEDESTRIAN-FRIENDLY VEHICLES , 2015 .