Procedures for Verification and Validation of Computer Simulations Used for Roadside Safety Applications (2011)

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241 REFERENCES 1 Turner, M. J., Clough, R.W., Martin, H. C., and Topp, L. J., “Stiffness and Deflection Analysis of Complex Structures,” Journal of the Aeronautical Sciences, Vol. 23 (1956) pp. 805-823. 2 Argyris, J. H., “Energy Theorems and Structural Analysis,” Butterworth Pubblications, London, U.K. (1954). 3 Clough, R.W., and Wilson, E., “History of the Finite Element Method at Berkeley,” in Proceedings of the Fifth U.S. National Congress on Computational Mechanics, Boulde (CO), USA (Aug. 4-6, 1999). 4 Belytschko, T., Liu, W. K., and Moran, B., “Nonlinear Finite Elements for Continua and Structures”, John Wiley & Sons, LTD, Chichester, UK (2000). 5 Argyris, J. H., “Elasto-Plastic Matrix Displacement Analysis of Three- Dimensional Continua,” Journal of the Royal Aeronautical Society, Vol. 69 (1965) pp. 633-635. 6 Powell, G.H., "General Computer Program for Analysis of Automobile Barriers," in Highway Research Record No. 343, Highway Research Board, Washington, D.C. (1971). 7 Giavotto, V., Puccinelli, L., and Astori, P. C., “Vehicle Dynamics and Crash (Vedyac),” SPAT, Milan, (1972). 8 Hallquist, J. O., “Preliminary User’s Manuals for DYNA3D and DYNAP (Nonlinear Dynamic Analysis of Solids in Three Dimensions),” Report No. UCID-17268, University of California, Lawrence Livermore National Laboratory, (1976). 9 Ray, M. H., “”The Use of Finite Element Analysis in Roadside Hardware Design,” International Journal of Crashworthiness, Vol. 2, No 4 (1997) pp. 333 - 348, Woodhead Publishing, London, UK. 10 Plaxico, C.A., Ray, M.H., Hiranmayee, K., “Impact Performance of the G4(1W) and G4(2W) Guardrail Systems Comparison Under NCHRP Report 350Test 3-11 Conditions”, Transportation Research Record 1720, Transportation Research Board, Washington, D.C. (2000) pp 7-18. 11 European Committee of Standardization, “European Standard EN 1317-1 and EN 1317-2: Road Restraint Systems,” CEN (1998). 12 Sango, F., and Haukass, M., “Evaluation of Small car vehicle model – GM_R2,” Robust Document No. ROBUST-5-005/TR-2004-0107, Norwegian Public Roads Administration, January 2006.

242 13 Federal Aviation Administration, “Methodology for dynamic seat certification by analysis for use in parts 23, 25, 27 and 29 airplanes and rotorcraft,” Advisory Circular No. 20-146, FAA, Washington, D.C. (19 May 2003). 14 European Committee of Standardization, “Railway Applications – Crashworthiness Requirements for Railway Vehicles Bodies,” European Standard prEN 1527 (Draft) (April 2005). 15 American Institute of Aeronautics and Astronautics, “Guide for the Verification and Validation of Computational Fluid Dynamics Simulations,” AIAA-G-077- 1998, AIAA ,Reston, VA (1998). 16 Oberkampf, W. L., Trucano, T. G., and Hirsch, C., “Verification, Validation and Predictive Capability in Computational Engineering and Physics,” In the Proceedings of Verification and validation for Modeling and Simulation in Computational Science and Engineering Applications, Johns Hopkins University, Applied Physics Laboratory, Laurel, MD (October 22, 2002). 17 American Society of Mechanical Engineers (Performance Test Code Comitee, PTC-60), “Guide for Verification and Validation in Computational Solid Mechanics,” American National Standard V&V 10-2006, ASME, New York (2006). 18 Johnson, W., “Impact Strength of Materials,” Edward Arnold Publishers LTD, London, UK (1972). 19 Kolsky, H., “Stress Waves in Solids”, Clarendon Press, Oxford, UK (1953). 20 Ross, H. E. Jr., Sicking, D. L., Zimmer, R. A., and Michie, J. D., “Recommended Procedures for the Safety Performance Evaluation of Highway Features,” National Cooperative Highway Research Program (NCHRP) Report 350, Transportation Research Board, Washington, D.C. (1993). 21 Invernizzi, F., Poggi, S., Tirelli, M., “Helicopter Fuel Tank Crashworthiness: Numerical Approach for the Design,” Politecnico di Milano, Milano, Italy (2007). 22 Kokkins, S., Kong, W., and Kasturi, K., “Locomotive Crashworthiness Research: Modeling, Simulation, and Validation,” Foster-Miller, Incorporated, Federal Railroad Administration (2001). 23 Zhao, Y., et al., “The use of FEA Nonlinear Model to Determine the In-vivo Cardiac Pacing Lead Coils for Fatigue Analysis”, In Procedings of 2003 Summer Bioengineering Conference, Sonesta Beach Resort in Key Biscayne, Florida (June 25-29, 2003). 24 McMahon, C., and Zhao, Y., “Modeling Implantable Medical Device- Interactions,” In Proceedings of 2003 ABAQUS User’s Conference, Vienna, Austria (2003). 25 Didoszak, J. M., Shin, Y. S., and Lewis, D. H., “Shock Trial Simulation for Naval Ships,” Naval Postgraduate School, Monterey, CA (2003).

243 26 Plaxico, C.A., Kennedy, J.C. Jr., and Miele, C.R., “Analysis of Plastic Safety System’s CrashGard Sand Barrel System,” Final Report, Battelle Memorial Institute, Columbus, OH (January 2007). 27 Basu, S., Haghighi, A., “Numerical Analysis of Roadside Design (NARD) vol. III: Validation Procedure Manual,” Report No. FHWA-RD-88-213, Federal Highway Administration, Virginia (1988). 28 Ray, M. H., and Hiranmayee, K., "Quantitative Evaluation of the Fidelity of Public-Domain Vehicle Models for Roadside Hardware Research," unpublished paper, (1998). 29 Tabiei, A., and Wu, J., “Validated Crash Simulation of the Most Common Guardrail System in the USA,” International Journal of Crashworthiness, Vol. 5, No. 2 (2000) pages 153 - 168. 30 Atahan, A.O., and Cansız, Ö.F., “Impact Analysis of a Vertical Flared Back Bridge Rail-to-Guardrail Transition Using Simulation,” Finite Elements in Analysis and Design, Vol. 41, No. 4 (2005) pp. 371-396. 31 Geers, T. L., “An Objective Error Measure for the Comparison of Calculated and Measured Transient Response Histories,” The Shock and Vibration Bulletin Part 2 – Ship Shock, shock and Blast and Ground Shock, The shock and vibration center at Naval Research Laboratory, Washington D.C. (June 1984). 32 Schwer, L. E., "Validation Metrics for Response Histories: Perspectives and Case Studies," Engineering with Computers, Vol. 23, No. 4 (Special issue in Verification and Validation) (2007) pp. 295 - 309, Springer-Verlag, London, UK. 33 Russell, D. M., “Error Measures for Comparing Transient Data: part I: Development of a Comprehensive Error Measure,” In Proceedings of the 68th shock and vibration symposium, Hunt Valley, MD (1997) pp 175–184. 34 Shin, Y. S., and Schneider, N., “Ship Shock Trial Simulation of USS Winston S. Churchill (DDG81): Modeling and Simulation Strategy and Surrounding Fluid Volume Effects,” In Proceedings of the 74th Shock and Vibration Symposium, San Diego CA (27-31 October, 2003). 35 Ray, M. H., "Repeatability of Full-Scale Crash Tests and a Criteria for Validating Finite Element Simulations," Transportation Research Record No. 1528, Transportation Research Board, Washington, D.C. (1996). 36 Oberkampf, W. L., and Barone, M. F., “Measures of Agreement Between Computation and Experiment: Validation Metrics,” Journal of Computational Physics, Vol. 217, No. 1 (Special issue: Uncertainty quantification in simulation science) (2006) pp 5–36. 37 Bayarri, M. J., Berger, J. O., Kennedy, M. C., Kottas, A., Paolo, R., and Sacks, J., “Bayesian Validation of a Computer Model for Vehicle Crashworthiness”, Technical Report 163, National Institute of Statistical Sciences, (July 23, 2005).

244 38 Mahadevan, S., and Rebba, R., “Validation of Reliability Computational Models Using Bayesian Networks,” Reliability Engineering and System Safety, Vol. 87, No. 5 (2005) pp. 223-232. 39 Favarelli, L., “Stochastic Finite Elements for Crash Problems,” Structural Safety, Vol. 8, No. 1-4 (July 1990) pp. 113–130. 40 Patzner, G.S., Plaxico, C.A., and Ray, M.H., “Effects of Post and Soil Strength on Performance of Modified Eccentric Loader Breakaway Cable Terminal,” Transportation Research Record 1690, Transportation Research Board, Washington D.C. (1999). 41 Ray, M.H., and Silvestri, C., “Development of a Finite Element Model of the Knee-Thigh-Hip of a 50th Percentile Male Including Ligaments and Muscles,” International Journal of Crashworthiness, (pending) (2007). 42 Ray, M.H., Hiranmayee, K., and Kirkpatrick, S., "Performance Validation of two Side Impact Dummies," International Journal of Crashworthiness, Vol. 4, No. 3 (1999) pp. 287-303, Woodhead Publishing Limited, London, UK. 43 Anghileri, M., Mongiardini, M., “Round Robin Concrete Barrier,” Robust Document No. ROBUST-05-012, Politecnico di Milano, October 2005. 44 Brown, C. M., “Ford Festiva Center Impacts with a Narrow Fixed Object (Rigid Pole),” Report FHWA-RD-95-040, Federal Highway Administration, U.S. Department of Transportation (1995). 45 Orengo, F., Ray M. H., and Plaxico, C. A., “Modeling Tire Blow-out in Roadside Hardware Simulations Using LSDYNA,” In Proceedings IMECE’03, 203 ASME International Mechanical Engineering Congress and Exposition, Paper IMECE2003-44057 (November 2003). 46 Wright, A. E., and Ray, M. H., “Characterizing Guardrail Steel for LSDYNA3D Simulations,” Transportation Research Record No. 1528, Transportation Research Board, Washington, D.C. (1996) pp 138-145. 47 Gentry, T.R., and Bank, L.C., “Finite-Element Modeling and Model Verification of Steel W-Beam Guardrails Subject to Pendulum Impact Loading,” Transportation Research Record 1647, Transportation Research Board, Washington, D.C. (1998). 48 Tabiei, A., “Experimental and Numerical Simulation of the Use of Fiber Reinforced Composite Materials for Roadside Safety Applications,” Publication no FHWA-RD-96-026, US Department of Transportation, McLean, VA, (1997). 49 Eskandarian, A., Marzougui, D., and Bedewi, N. E., "Finite Element Model and Validation of a Surrogate Crash Test Vehicle for Impacts with Roadside Objects," International Journal of Crashworthiness, Vol. 2, No. 3 (1997) pp. 239 - 258. 50 Langseth, M., Hopperstad, O. S., and Berstad, T., “Crashworthiness of Aluminum Extrusions: Validation of Numerical Simulation, Effect of Mass Ratio and Impact

245 Velocity,” International Journal of Impact Engineering, Volume 22, No. 9-10 (October 1999) pp. 829-854. 51 Borvik, T., “Finite Element Analysis of Ductile Failure in Structural Steel Subjected to Multiaxial Stress States and High Strain rates," In Proceedings of the 3th European LSDYNA User's Conference, Paris, France (2001). 52 Du Bois, P. A., Kolling, S., and Fassnacht, W., “Modeling of Safety Glass for Crash Simulation,” Computational Materials Science, Volume 28, No 3-4, (November 2003) pp. 675-683. 53 Timmel, M., Kolling, S., Osterrieder, P., and Du Bois, P. A., “A Finite Element Model for Impact Simulation with Laminated Glass,” International Journal of Impact Engineering, Volume 34, No 8 (August 2007) pp. 1465-1478. 54 Du Bois, P. A., Koesters, M., Frank, T., and Kolling, S., “Crashworthiness Analysis of Structures Made from Polymers,” In Proceedings of the 3th LSDYNA Forum, Bamberg, Germany (2004). 55 Sun, D.Z., Andrieux, F., Ockewitz, A., Klamser, H., and Hogenmüller, J., “Modeling of the Failure Behaviour of Windscreens and Component Tests,” In Proceedings of the 4th LSDYNA Forum, Bamberg, Germany (2005). 56 Atahan, A.O., and Ross, H.E. Jr., “Computer Simulation of Recycled Content Guardrail Post Impacts,” ASCE Journal of Transportation Engineering, Vol. 130, No. 6 (2004) pp. 485-496. 57 Lewis, B.A., “Manual for LSDYNA Soil Material Model 147,” Report No. FHWA-HRT-04-095, Federal Highway Administration, Washington, D.C. (2004). 58 Murray, Y.D., “Theory and Evaluation of Concrete Material Model 159,” In Proceedings of the 8th International LSDYNA User’s Conference, Dearborn, Michigan, (2004). 59 Murray, Y.D., Reid, J.D., Faller, R.K., Bielenberg, B.W., and Paulsen, T.J., “Evaluation of LSDYNA Wood Material Model 143,” Report No. FHWA-HRT- 04-096, Federal Highway Administration, Washington D.C. (2005). 60 Reid, J. D., Coon, B. A., Lewis, B. A., Sutherland, S. H., and Murray, Y. D., “Evaluation of LSDYNA Soil Material Model 147,” Report No. FHWA-HRT-04- 094, University of Nebraska, Lincoln; APTEK, Incorporated; Federal Highway Administration, Washington, D.C. (2004). 61 Tong, X., and Tuan, C. Y., “Viscoplastic Cap Model for Soils under High Strain Rate Loading,” J. of Geotechnical and Geoenvironmental Engineering, Vol. 133, No. 2 ((February 2007) pp. 206-214. 62 Murray, Y. D., “Users Manual for LSDYNA Concrete Material Model 159,” Publication No. FHWA-HRT-05-062, US Department of Transportation, Federal Highway Administration National Transportation Systems Center; Federal Highway Administration (May 2007).

246 63 Miele, C. R., Plaxico, C. A., Kennedy, J. C., Simunovic, S., and Zis, N., “Heavy Vehicle Infrastructure Asset Interaction and Collision,” Cooperative Agreement No. DTFH61-03-X-00030, Federal Highway Administration, Washington, D.C. (September 2005). 64 Haufe, A., Du Bois, P. A., Kolling, S., and Feucht, M, "On the Development, Verification and Validation of a Semi-Analytical Model for Polymers Subjected to Dynamic Loading," In Proceedings of the International Conference on Adaptive Modeling and Simulation, ADMOS, Barcelona, Spain (2005). 65 Wood, P. K., Schley, C. A., Kenny, S., and Dutton, T., "Validating Material Information for Stochastic Crash Simulation Part 1 - Quasi static properties," In Proceedings of the 5th European LSDYNA Conference, Birmingham, UK (2005). 66 Dietemberger, M., Büyük, M., and Kan, C.D., "Development of a High Strain- Rate Dependent Vehicle Model," In Proceedings of the 4th LSDYNA Forum, Bamberg, Germany (2005). 67 Gerhard, S., Gavin, V., and Virenda, C., "Model Material Validation of a High Efficiency Energy Absorbing Foam," In Proceedings of the 5th German LSDYNA Forum, Ulm, Germany (2006). 68 Blankenhorn, G., Muller, I., Siebert, A., and Schweizerhof, K., "On the Numerical Analysis of a Carillion Bell Using LSDYNA with a Specific View on Model Validation," In Proceedings of the 5th German LSDYNA Forum, Ulm, Germany (2006). 69 Walker, B., “A New Generation of Crash Barrier Models for LSDYNA,” In Proceedings of the 9th International LSDYNA Users Conference, Dearborn, Michigan (2006). 70 Wood, P. K., Buckley, M., Walker, B., and Dutton, T., "Validating Dynamic Tensile Mechanical Properties of Sheet Steels for Automotive Crash Applications," In Proceedings of the 6th European LSDYNA Conference, Gothenburg, Sweden (2006). 71 Sheikh, N.M., Bligh, R.P., Bullard, D.L., Buth, C.E., Alberson, D.C., Abu-Odeh, A.Y., and Ross, H.E. Jr., “Development of an Energy Absorbing End Terminal for Open Box Beam Guardrail,” In Proceedings of the 9th International LSDYNA Users Conference, Dearborn, Michigan (2006). 72 Shoukry, S. N., and Fahmy, M., “Validation of 3D FE Analysis of Rigid Pavement Dynamic Response to Moving Traffic and Nonlinear Temperature Gradient Effects,” International Journal of Geomechanical Engineering, Vol. 7, No. 1 (January/February 2007) pp. 16-24. 73 Horstemeyer, M. F., Li, H., Siervogel, J., Kwasniewski, L., Wekezer, J. W., Christian, B., and Roufa, G., "Material Characterization and Connection Testing for Crash Analysis of Paratransit Buses,” International Journal of

247 Crashworthiness. In press (manuscript number: IJCR.184, accepted: March 12, 2007). 74 Mendis, K, Mani, A, and Shyu, S-C, “Finite Element Crash Models of Motor Vehicles,” Report FHWA-RD-94-151, Federal Highway Administration, Washington, D.C. (July, 1994). 75 Cofie, E., and Ray, M. H., “Finite Element Model of a Small Automobile Impacting a Rigid Pole,” Report FHWA-RD-94-151, Federal Highway Administration, Washington, D.C. (1995). 76 Thacker, J. G., Reagan, S. W., Pellettiere, J. A., Pilkey, W. D., Crandall, J. R., and Sieveka, E. M. “Experiences During the Development of a Dynamic Crash Response Automobile Model,” Finite Elements in Analysis and Design, Vol. 30, No. 4 (1998) p. 279-295. 77 Anghileri, M., and Mongiardini, M., “Geo Metro Finite Element Model (GM_R3): Improvements of Steering System and Suspensions,” Robust Document No. ROBUST-05-006, Politecnico di Milano (January 2005). 78 Sango, F., “Evaluation of Small Car – RM_R1 – Prepared by Politecnico di Milano,” Robust Document No. ROBUST-5-002/TR-2004-0039, Norwegian Public Roads Administration (January 2006). 79 Zaouk, A.K., and Marzougui, D., "Development and Validation of a US Side Impact Moveable Deformable Barrier FE Model," In Proceedings of the 3th European LSDYNA User's Conference, Paris, France (2001). 80 Zaouk, A.K., Bedewi, N.E., Kan, C.D., and Marzougui, D., “Validation of a Non- Linear Finite Element Vehicle Model Using Multiple Impact Data,” In Proceedings of the 1996 ASME International Mechanical Engineering Congress and Exposition, Atlanta, GA (1996) pp. 91–106. 81 Zaouk, A. K., Bedewi, N. E., Kan, C. D., and Marzougui, D., “Development and Evaluation of a C-1500 Pickup Truck Model for Roadside Hardware Impact Simulation,” Report Number FHWA-RD-96- 212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 82 Marzougui, D., Zaouk A., and Kan, C.D., “Development of a C-2500 Pick-Up Truck Model for Roadside Hardware Impact,” Transportation Research Board Annual Conference, 1996. 83 Tiso, P., Plaxico, C. A., and Ray, M. H., "An Improved Truck Model for Roadside Safety Simulations: Part II -- Suspension Modeling," Transportation Research Record No. 1797, Transportation Research Board, Washington, D.C. (2002). 84 Marzougui, D., Zink, M., Zaouk, A..K, Kan, C. D., and Bedewi, N. E., “Development and Validation of a Vehicle Suspension Finite Element Model for

248 Use in Crash Simulations,” International Journal of Crashworthiness, Vol. 9, No. 6 (2004) pp. 565-576. 85 Mohan, P., Marzougui, D., and Kan, C. D. S., “Validation of a Single Unit Truck Model for Roadside Hardware Impact,” International Journal of Vehicle Systems Modelling and Testing, Vol. 2, No.1 (2007) pp. 1-15. 86 Pernetti, M, and Scalera, S., "Development of a Validated Finite Element Model of a Rigid Truck Suitable to Simulate Collisions Against Road Safety Barriers," In Proceedings of the 6th European LSDYNA Conference, Gothenburg, Sweden (2007). 87 Wekezer, J. W., Oskard, M. S., Logan, R. W., and Zywicz, E., "Vehicle Impact Simulation," Journal of Transportation Engineering, Vol. 199, No. 4 (July/August, 1993) pp. 598-617, New York, N.Y. 88 Ray, M. H., "Using Finite Element Analysis in Designing Roadside Hardware," Public Roads, Vol. 57, No. 4, Federal Highway Administration, Washington, D.C. (1994). 89 Ray, M. H., and Patzner, G. A., “A Finite Element model of the Modified Eccentric Loader Breakaway Cable Terminal (MELT),” Report Number FHWA- RD-96- 212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 90 Munz, T., and Willam, K., “Finite Element Modeling of Vehicular Collision with Transformer Base Luminaire Support,” Report FHWA-RD-96-212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 91 Plaxico, C. A., Hackett, R. M., and Uddin, W., “Finite Element Simulation of Vehicle Impact Against a Modified Thrie-Beam Guardrail,” Report FHWA-RD- 96-212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 92 Reid, J. D., “Simulation of Four Roadside Safety Applications,” Report Number FHWA-RD-96- 212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 93 Abu-Odeh, A. Y., Bligh, R. P., and Ross, H. E. Jr., “Finite Element Analysis of a Slip-Base Luminaire Support,” Report FHWA-RD-96-212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1997). 94 B.F. Hendricks, Martin, O.S. and Wekezer, J. W., “Impact Simulation of the 820C Vehicle with the G2 Guardrail,” Report FHWA-RD-96-212, FHWA Vehicle Crash Analysis, Federal Highway Administration, Washington, D.C. (1996). 95 Martin, O. S., and Wekezer, J. W., “Crash Impact Analysis of the G2 Guardrail: a Validation Study,”, In Proceedings of the 77th Transportation Research Board Meeting, Transportation Research Board (1998), Paper No. 98-0184.

249 96 Ray, M.H., Engstrand, K., Plaxico, C.A., and McGinnis, R.G., “Improvements to the Weak-Post W-Beam Guardrail,” Transportation Research Record 1743, Transportation Research Board, Washington, D.C. (2001) pp 88-96. 97 Eskandarian, A., Marzougui, D., and Bedewi, N. E., "Impact Finite Element Analysis of Slip-Base Sign Support Mechanism," Journal of Transportation Engineering, Vol. 126, No. 2 (2000) pp. 143-153. 98 Marzougui, D., Kan, C. D., and Eskandarian, A., "Safety Performance Evaluation of Roadside Hardware Using Finite Element Simulation," In Proceedings of the ASCE Fourteenth Engineering Mechanics Conference, Austin, Texas (May 24, 2000). 99 Reid, J. D., Sicking, D. L., and Paulsen, G. W., "Design and Analysis of Approach Terminal Sections using Simulation,” Journal of Transportation Engineering, Vol. 122, No 5 (1996) pp. 399-405. 100 Paulsen, G.W., and Reid, J.D., “Nonlinear Finite-Element Analysis of Dual Support Breakaway Sign,” Transportation Research Record 1528, Transportation Research Board, Washington D.C. (1996) pp 146-154. 101 Ray, M. H., and Patzner, G. S., “Finite Element Model of a Modified Eccentric Loader Breakaway Guardrail Terminal,” Transportation Research Record 1599, Transportation Research Board, Washington, D.C. (1997) pp 11-21. 102 Plaxico, C.A., Patzner, C.S., and Ray, M.H., “Finite Element Modeling of Guardrail Timber Posts and the Post-Soil Interaction,” Transportation Research Record 1647, Transportation Research Board, Washington D.C. (1998) pp 139- 146. 103 Reid, J. D., Sicking, D. L., Faller, R. K., Pfeifer, B. G., “Development of a New Guardrail System,” Transportation Research Record 1599, Transportation Research Board, Washington, D.C. (1997). 104 Reid, J.D., and Sicking, D.L., “Design and Simulation of a Sequential Kinking Guardrail Terminal,” International Journal of Impact Engineering, Vol. 21, No. 9 (1998) pp. 761-772. 105 Reid, J.D., and Bielenberg, B.W., “Using LSDYNA Simulation to Solve a Design Problem: Bullnose Guardrail Example,” Transportation Research Record 1690, Transportation Research Board, Washington, D.C. (1999). 106 Marzougui, D., Mohan, P., Kan, S., and Opiela, K., “Evaluation of Rail Height Effects on the safety Performance of W-Beam Barriers,” In Proceedings of the 6th European LSDYNA User’s Conference, Gothenburg, Sweden (2007). 107 Marzougui, D., Bahouth, G., Eskandarian, A., Meczkowski, L., and Taylor, H., “Evaluation of Portable Concrete Barriers Using Finite Element Simulation,” Transportation Research Record 1720, Transportation Research Board, Washington, D.C. (2000) pp 1-6.

250 108 Bielenberg, B., Reid, J.D., Faller, R.K., “Compliance Testing of a Bullnose Median Barrier System,” Transportation Research Record 1743, Transportation Research Board, Washington, D.C. (2001) pp 60-70. 109 Marzougui, D., Meczkowski, L., Taylor, H., and Bedewi, N. E., "Sign Support Height Analysis Using Finite Element Simulation,” International Journal of Crashworthiness, Vol. 6, No. 1 (2001) pp. 33-41. 110 Engstrand, K., Jansson, M., and Nilsson, L., "On Vehicle Impact on Roadside Barrier," In Proceedings of the 3th European LSDYNA User's Conference, Paris, France (2001). 111 Atahan, A.O., “Finite Element Simulation of a Strong-Post W-beam Guardrail System,”, Society for Computer Simulations, Vol. 78, No. 10 (2002) pp 587–599. 112 Reid, J. D., Faller, R. K., Holloway, J. C., Rohde, J. R., and Sicking, D. L., “New Energy-Absorbing High-Speed Safety Barrier,” Transportation Research Record 1851, Transportation Research Board, Washington D.C. (2003) pp 53-64. 113 Bielenberg, R.W., “Modeling Crushable Foam for the SAFER Racetrack Barrier,” In Proceedings of the 8th International LSDYNA User’s Conference, Deaborn, Michigan, (2004). 114 Ray, M. H., Oldani, E., and Plaxico, C. A., “Design and Analysis of an Aluminum F-Shape Bridge Railing,” International Journal of Crashworthiness, Vol. 9, No. 4 (2004) pp. 349–363. 115 Whitworth, H. A., Bendidi, R, Marzougui, D., and Reiss, R., "Finite Element Modeling of the Crash Performance of Roadside Barriers,” International Journal of Crashworthiness, Vol. 9, No.1 (2004) pp. 35-43. 116 Mohan, P., Marzougui, D., Meczkowski, L., and Bedewi, N. E., “Finite Element Modeling and Validation of a 3-Strand Cable Guardrail System,” International Journal of Crashworthiness, Vol. 10, No 3 (2005) pp. 267-273. 117 Tahan, F., Marzougui, D., Zaouk, A., Bedewi, N. E., Eskandarian, A., and Meczkowski, L., “Safety Performance Evaluation of Secure Mailboxes Using Finite Element Simulations and Crash Testing,” International Journal of Crashworthiness, Vol. 10, No. 4 (2005) pp. 341-349. 118 Sheikh, N.M., Alberson, D.C., and Bullard, D.L., “Development of a Hybrid Energy Absorbing Reusable Terminal (HEART) for Roadside Safety Applications,” In proceedings of the 84th Transportation Research Board Meeting, Washington, D.C. (2005), Paper No. 05-2571. 119 Atahan, A.O., “Finite Element Simulation of the New York Portable Concrete Barrier with I-Shaped Connector,” Journal of Structural Engineering, Vol. 132, No. 3 (2006) pp 430-440. 120 Bonin, G., Cantisani, G., Loprencipe, G., and Ranzo, A., “Improvement of Portable Concrete Barrier Design Using Computational Mechanics,” In

251 Proceedings of the 85th Transportation Research Board Meeting, Washington, D.C. (2006), Paper No. 06-1797. 121 Plaxico, C. A., Kennedy, J. C. Jr., and Miele, C. R., “Evaluation and Design of ODOT’s Type 5 Guardrail with Tubular Backup,” Report No. FHWA/OH-2006/4, Battelle Memorial Institute, Columbus, Ohio, (February 2006). 122 Plaxico, C. A., Kennedy, J. C. Jr., and Miele, C. R., “Development of an NCHRP Report 350 TL-3 New Jersey Shape 50-inch Portable Concrete Barrier,” Report No. FHWA/OH- 2006/16, Battelle Memorial Institute, Columbus, Ohio (February 2006). 123 Anghileri, M., “Numerical Evaluation of Severity Indices for Finite Element Analysis,” In proceedings of the 85th Transportation Research Board Meeting, Washington, D.C. (2006) 124 Marzougui, D., Mohan, P., Kan, C.D.,and Opiela, K., “Performance Evaluation of Low Tension Three Strand Cable Median Barriers,” In proceedings of the 86th Transportation Research Board Meeting, Washington, D.C. (2007), Paper No. 07-3275. 125 Roh, Y. S., “Scaling Study of LS-DYNA MPP on High Performance Servers,” In Proceedings of the 6th International LSDYNA User’s Conference, Dearborn, Michigan (2000). 126 Roh, Y. S., Fong, H. F., “LS-DYNA Performance of UltraspacTM-II Servers and Workstations,” In Proceedings of the 7th International LSDYNA User’s Conference, 2001. 127 Cook, Robert D., Finite Element Modeling for Stress Analysis, John Wiley & Sons, Inc., New York, 1995. 128 Du Bois, Paul, NOTES, 1998 129 Plaxico, Chuck A., Design Guidelines for the Use of Curbs and Curb/Guardrail Combinations Along High-Speed Roadways, Ph.D. Dissertation, Worcester Polytechnic Institute, Worcester, MA, 2002. 130 Larsson, A., Pettersson, M. and Svensson, H., “User Manual: CurveAnalyzer v1.0,” Autoliv, 11 June 2003. 131 MATLAB. User Guide. The MathWorks Inc, The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760-2098, 1994-2008. 132 Ray, M. H., C.A. Plaxico, and K. Hiranmayee. Impact Performance of the G4(1W) and G4(2W) Guardrail Systems Comparison Under NCHRP Report 350Test 3-11 Conditions. In Transportation Research Record: Journal of the Transportation Research Board, No. 1720, Transportation Research Board of the National academies, Washington, D.C., 2000, pp. 7-18.

252 133 Comparative Shock Analysis (CSA) of Main Propulsion Unit (MPU). Validation and Shock Approval Plan, SEAWOLF Program, Contract No. N00024-90-C- 2901, 9200/SER: 03/039, September 20, 1994. 134 Sprague, M. A., and T. L. Geers. Spectral elements and field separation for an acoustic fluid subject to cavitation. Journal of Computational Physics, Vol. 162, 2003, pp. 184:149. 135 Knowles, C. P., and C.W. Gear. Revised validation metric, unpublished manuscript, 16 June 2004 (revised July 2004). 136 Cohen, J., P. Cohen, S. G. West and L. S. Aiken. Applied multiple regression/correlation analysis for the behavioral sciences. Lawrence Erlbaum Associates, Hillsdale, NJ, 2003 (3rd ed.). 137 Whang, B., W. E. Gilbert, and S. Zilliacus. Two Visually Meaningful Correlation Measures for Comparing Calculated and Measured Response Histories. Report, CARDEROCKDIV-U-SSM-67-93/15. Carderock Division, Naval Surface Warfare Center, Survivability, Structures and Materials Directorate, Research and Development, Bethesda, Maryland, September, 1993. 138 Theil, H. Economic Forecasts and Policy. North-Holland Publishing Company, Amsterdam, 1975. 139 Russell, D. M. Error Measures for Comparing Transient Data: Part II: Error Measures Case Study. In Proceedings of the 68th Shock and Vibration Symposium, 2006, pp. 185-198. 140 SAE J211-1 (R) Instrumentation for Impact Test—Part 1—Electronic Instrumentation. SAE International, Warrendale PA, USA, July 1, 2007. 141 M. H. Ray, C. A. Plaxico, J. A. Weir, F. Council, Recommended Guidelines for Curb and Curb-Barrier Combinations, National Cooperative Highway Research Program Report No. 537, ISBN 0-309-08920-8, National Academy of Sciences, Washington, D.C., 2005. 142 AASHTO, “A Policy on the Geometric Design of Highways and Streets,” American Association of State Highway and Transportation Officials, Washington, D.C., 2001. 143 Bullard, D., W. Menges, and D. Alberson, " NCHRP Report 350 Compliance Test 3-11 of the Modified G4 (1S) Guardrail with Timber Blockouts," FHWA contract DTFH61-95-C-00090,Research Project 405421-1, Texas Transportation Institute, College Station, Texas, January 1996. 144 Tiso, Paolo, “Improvements to the Suspension of the NCAC C2500 Pickup Truck Finite Element Model,” Master’s Thesis, Worcester Polytechnic Institute, August 2001.

253 145 LaTurner, J. F., “NCHRP Report 350 Crash Test Results for Curb-Barrier Combinations,” Project No. 52-2556, Report 231, E-Tech Testing Services, Inc., Rocklin, CA, February, 2004 146 Plaxico, C., Kennedy, J., Miele, C., Simunovic, S. and Zisi, N., “Enhanced Finite Element Analysis Crash Model of Tractor-Trailers (Phase B),” National Transportation Research Center, Inc., Knoxville, TN, 2009. 147 Rosenbaugh, S.K, Sicking, D.L., and Faller, R.K., "Development of a TL-5 Vertical Faced Concrete Median Barrier Incorporating Head Ejection Criteria," Test Report No. TRP-030194-07, Midwest Roadside Safety Facility, University of Nebraska-Lincoln, 10 December 2007. 148 Plaxico, C., Kennedy, J., Simunovic, S. and Zisi, N., Enhanced Finite Element Analysis Crash Model of Tractor-Trailers (Phase A), National Transportation Research Center, Inc., Knoxville, TN, 2008. 149 Bligh, R. P., Ross, H. E. Jr., and Epperson, B. and Sherry, K., “Test Risk Assessment Program (TRAP): Version 2.1,” Texas Transportation Institute, Report No. 472540-F, College Station, TX, January 2000.