Photo of Tong Qiu

Tong Qiu

Associate Professor

Affiliation(s):

  • Civil and Environmental Engineering
  • Larson Transportation Institute

116 Sackett Building

tuq1@psu.edu

814-863-7305

Personal or Departmental Website

Research Areas:

Geotechnical and Materials Engineering

Interest Areas:

Geotechnical engineering, soil dynamics, flow-through porous media, numerical methods, landslides.

 
 

 

Education

  • BS, Hydraulic Engineering, Tsinghua University, 2000
  • MS, Civil Engineering, University of California - Los Angeles, 2002
  • Ph D, Civil Engineering, University of California - Los Angeles (UCLA), 2005

Publications

Books

  • Tong Qiu, B. Tiwari and Z. Zhang, 2018, Proceedings of GeoShanghai 2018 International Conference: Advances in Soil Dynamics and Foundation Engineering, Springer, pp. 840
  • J. C. Ni, J. S. Yang, S. L. Chen and Tong Qiu, 2016, Geo-China 2016: Emerging Technologies in Tunnel Engineering, Modeling, Design, Construction, Repair, and Rehabilitation, ASCE, pp. 283
  • J. P. Hu, J. L. Ma, J. Meneses, Tong Qiu, X. Yu and D. Zeng, 2013, Challenges and Recent Advances in Geotechnical and Seismic Research and Practices, ASCE, pp. 820

Monographs

Journal Articles

  • B. Kermani, Ming Xiao, Shelley M Stoffels and Tong Qiu, 2019, "Measuring the migration of subgrade fine particles into subbase using scaled accelerated flexible pavement testing – a laboratory study", Road Materials and Pavement Design, 20, (1)
  • S. S. Liu, H. Huang, Tong Qiu and B. Kerchof, 2019, "Characterization of Ballast Particle Movement at Mud Spot", Journal of Materials in Civil Engineering, ASCE, 31, (1)
  • B. Kermani, Shelley M Stoffels, Ming Xiao and Tong Qiu, 2018, "Experimental Simulation and Quantification of Migration of Subgrade Soil into Subbase under Rigid Pavement Using Model Mobile Load Simulator", Journal of Transportation Engineering, Part B: Pavements, ASCE, 144, (4)
  • A. Ahmadipur and Tong Qiu, 2018, "Impact Force to a Rigid Obstruction from a Granular Mass Sliding Down a Smooth Incline", Acta Geotechnica, 13, (6)
  • E. Kermani and Tong Qiu, 2018, "Simulation of Quasi-Static and Dynamic Collapses of Rectangular Granular Columns using Smoothed Particle Hydrodynamics Method", International Journal of Geomechanics, ASCE, 18, (9)
  • E. Kermani and Tong Qiu, 2018, "Simulation of Quasi-Static Axisymmetric Collapse of Granular Columns using Smoothed Particle Hydrodynamics and Discrete Element Methods", Acta Geotechnica
  • B. Kermani, Ming Xiao, Shelley M Stoffels and Tong Qiu, 2018, "Reduction of subgrade fines migration into subbase of flexible pavement using geotextile", Geotextiles and Geomembranes, 46, (4)
  • B. Sheikh and Tong Qiu, 2018, "Pore-Scale Simulations and Statistical Investigation of Velocity and Drag Force Distributions of Flow through Randomly-Packed Porous Media under Low and Intermediate Reynolds Numbers", Computers and Fluids, 171
  • S. S. Liu, H. Huang, Tong Qiu and Shihui Shen, 2018, "Sensing Mechanism and Real Time (SMART) Computing for Granular Materials", Journal of Computing in Civil Engineering, ASCE, 32, (4)
  • H. Huang, S. S. Liu and Tong Qiu, 2018, "Identification of Railroad Ballast Fouling through Particle Movements", Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 144, (4)
  • T. K. Yoo and Tong Qiu, 2018, "Optimization of Constitutive Model Parameters for Simulation of Polystyrene Concrete Subjected to Impact", International Journal of Protective Structures, 9, (2)
  • P. Tavassoti Kheiry, I. Boz, Mansour Solaimanian and Tong Qiu, 2018, "Evaluation of Non-destructiveness of Resonant Column Tests for Characterization of Asphalt Concrete Properties", Journal of Testing and Evaluation, ASTM, 46, (2), pp. 1-10
  • Z. Nie, T. Jiao, X. Wang and Tong Qiu, 2018, "Assessment of Compaction Quality Based on Roller-Integrated Compaction Measurements", Journal of Testing and Evaluation, ASTM, 46, (1)
  • C. Wang, Tong Qiu, Ming Xiao and J. Wang, 2017, "Utility Trench Backfill Compaction using Vibratory Roller Compactor versus Hydraulic Plate Compactor", Journal of Pipeline Systems Engineering and Practice, ASCE, 8, (4)
  • Tong Qiu and Y. B. Huang, 2017, "Analytical and Experimental Studies on Biot Flow Induced Damping in Saturated Soil Specimens in Resonant Column Tests", International Journal of Geomechanics, ASCE, 17, (8)
  • K. Doyle, L. Reese, Aleksandra Radlinska and Tong Qiu, 2017, "Material Properties of Crushable Concrete for Use in Vehicle Anti-Ram Barriers", Journal of Materials in Civil Engineering, ASCE, 29, (4), pp. 04016253, 1-11
  • S. S. Liu, H. Huang, Tong Qiu and J. Kwon, 2017, "Comparative Evaluation of Particle Movement in a Ballast Track Structure Stabilized with Biaxial and Multi-Axial Geogrids", Journal of Transportation Research Record, 2607, pp. 17-04365, 1-17
  • S. S. Liu, H. Huang, Tong Qiu and L. Gao, 2017, "Comparison of Laboratory Testing using “SmartRock” and Discrete Element Modeling of Ballast Particle Movement", Journal of Materials in Civil Engineering, ASCE, 29, (3), pp. D6016001, 1-7
  • M. Khosrojerdi, Ming Xiao, Tong Qiu and J. Nicks, 2017, "Evaluation of Prediction Methods for Lateral Deformation of GRS Walls and Abutments", Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 143, (2), pp. 06016022, 1-8
  • P. Tavassoti Kheiry, Mansour Solaimanian and Tong Qiu, 2016, "Characterization of High RAP/RAS Content Asphalt Mixtures Using Resonant Column Tests", Journal of Materials in Civil Engineering, ASCE, 28, (11), pp. 04016143, 1-8
  • S. S. Liu, H. Huang, Tong Qiu and J. Kwon, 2016, "Effect of Geogrid on Railroad Ballast Particle Movement", Journal of Transportation Geotechnics, 9, pp. 110-122
  • T. K. Yoo, Tong Qiu, L. Reese and Z. Rado, 2016, "Field Testing and Numerical Investigation of Streetscape Vehicular Anti-Ram Barrier under Vehicular Impact using FEM and Coupled FEM-SPH Simulations", International Journal of Protective Structures, 7, (2), pp. 213-231
  • Y. Zhou, L. Reese, Tong Qiu and Z. Rado, 2016, "Field Test and Numerical Modeling of Vehicle Impact on a Boulder with Impact-Induced Fractures", International Journal of Protective Structures, 7, (1), pp. 3-17
  • L. Reese, Tong Qiu, D. Linzell and Z. Rado, 2016, "Field-Scale Testing and Numerical Investigation of Soil-Boulder Interaction under Vehicular Impact using FEM and Coupled FEM-SPH Formulations", International Journal of Protective Structures, 7, (1), pp. 77-99
  • Tong Qiu, X. Cui and D. H. Chen, 2016, "Special Issue on Recent Advances in Constitutive and Numerical Methods for Sustainable Civil Infrastructures", International Journal of Geomechanics, ASCE, 16, (1), pp. B2015001-1
  • E. Kermani, Tong Qiu and T. B. Li, 2015, "Simulation of Collapse of Granular Columns using Discrete Element Method", International Journal of Geomechanics, 15, (6), pp. 04015004, 1-12
  • Tong Qiu, Y. B. Huang, Y. Guadalupe, C. D.P. Baxter and P. J. Fox, 2015, "Effective Soil Density for Small Strain Shear Waves in Saturated Granular Materials", Journal of Geotechnical and Geoenvironmental Engineering, 141, (9), pp. 04015036, 1-11
  • M. P. Keske, A. A. Brown, S. N. Brennan and Tong Qiu, 2015, "Low-order Modeling of Vehicle Impacts upon a Boulder Embedded in Cohesionless Soil", International Journal of Impact Engineering, 75, pp. 88-99
  • P. Tavassoti Kheiry, Tong Qiu and Mansour Solaimanian, 2015, "Characterization of Warm Mix Asphalt through Resonant Column Testing", Journal of Materials in Civil Engineering, 27, (10), pp. 1-6
  • W. Chen and Tong Qiu, 2014, "Simulation of Earthquake-Induced Slope Deformation using the Smoothed Particle Hydrodynamics Method", International Journal for Numerical and Analytical Methods in Geomechanics, 38, (3), pp. 297-330
  • T. Bai, Tong Qiu, X. M. Huang and C. Li, 2014, "Locating Global Critical Slip Surface using Morgenstern-Price Method and Optimization Technique", International Journal of Geomechanics, 14, (2), pp. 319-325
  • L. Reese, Tong Qiu, D. Linzell, E. O'Hare and Z. Rado, 2014, "Field Tests and Numerical Modeling of Vehicle Impacts on a Boulder Embedded in Compacted Fill", International Journal of Protective Structures, 5, (4), pp. 435-451
  • J. Park, Tong Qiu and Y. Kim, 2013, "A Field and Laboratory Investigation of Pullout and Skin Friction Resistance of Steel Anchors in Rock", Journal of Geotechnical and Geoenvironmental Engineering, 139, (12), pp. 2219-2224
  • E. Alavi Gharanbah, Tong Qiu and J. Rostami, 2013, "Evaluation of Granular Soil Abrasivity for Wear on Cutting Tools in Excavation and Tunneling Equipment", Journal of Geotechnical and Geoenvironmental Engineering, 139, (10), pp. 1718-1726
  • Tong Qiu, Louis Ge and Darhao Chen, 2013, "Advanced Modeling and Numerical Simulations in Geomechanics", International Journal of Geomechanics, 13, (4), pp. 331-331
  • Tong Qiu and Yanbo Huang, 2012, "Energy Dissipation in Nearly Saturated Poroviscoelastic Soil Column during Quasi-Static Compressional Excitations", Journal of Engineering Mechanics, 138, (10), pp. 1263-1274
  • Wei Chen and Tong Qiu, 2012, "Numerical Simulations for Large Deformation of Granular Materials using Smoothed Particle Hydrodynamics Method", International Journal of Geomechanics, 12, (2), pp. 127-135
  • Tong Qiu, 2010, "Analytical Solution for Biot Flow-Induced Damping in Saturated Soils during Shear Wave Excitations", Journal of Geotechnical and Geoenvironmental Engineering, 136, (11), pp. 1501-1508
  • Tong Qiu and Patrick Fox, 2008, "Effective Soil Density for Propagation of Small Strain Shear Waves in Saturated Soil", Journal of Geotechnical and Geoenvironmental Engineering, 134, (12), pp. 1815-1819
  • Tong Qiu and Patrick Fox, 2008, "Numerical Analysis of 1-D Large Strain Compression Wave Propagation in Saturated Poroelastic Media", International Journal for Numerical and Analytical Methods in Geomechanics, 32, pp. 161-187
  • Tong Qiu and Patrick Fox, 2006, "Hydraulic Damping of Saturated Poroelastic Soils during Steady-State Vibration", Journal of Engineering Mechanics, 132, (8), pp. 859-870
  • Patrick Fox, J. Lee and Tong Qiu, 2005, "Model for Large Strain Consolidation by Centrifuge", International Journal of Geomechanics, 5, (4), pp. 267-275
  • Tong Qiu and Patrick Fox, 2004, "Model for Large Strain Consolidation with Compressible Pore Fluid", International Journal for Numerical and Analytical Methods in Geomechanics, 28, (11), pp. 1167-1188
  • Patrick Fox, J. Lee and Tong Qiu, 2004, "Discussion of ‘A comparative study of suction-induced seepage consolidation versus centrifuge consolidation’ by Robinson, R.G, Tan, T.S. and Lee. F.H.", Geotechnical Testing Journal, 27, (4), pp. 416-417
  • J. Zhang, J. Pu, M. Zhang and Tong Qiu, 2001, "Model Tests by Centrifuge of Soil Nail Reinforcements", Journal of Testing and Evaluation, 29, (4), pp. 315-328
  • Tong Qiu and G. Zhang, 1997, "From a Classic Engineering Physics Problem to Modern Stealth Technology", Engineering Physics, 60, (2), pp. 54-56
  • M. Khosrojerdi, Ming Xiao, Tong Qiu and J. Nicks, , "Nonlinear Equation for Predicting the Settlement of Reinforced Soil Foundations", Journal of Geotechnical and Geoenvironmental Engineering, ASCE, pp. 50 pages double spacing
  • J. Wang, Ming Xiao, J. C. Evans, Tong Qiu and S. Salam, , "Time-Dependent Cone Penetration Resistance of a Post-Liquefaction Sand Deposit at Shallow Depth", Journal of Geotechnical and Geoenvironmental Engineering, ASCE, pp. 50 pages double spacing
  • A. Ahmadipur, Tong Qiu and B. Sheihk, , "Investigation of Basal Friction Effects on Impact Force from a Granular Sliding Mass to a Rigid Obstruction", Landslides, pp. 50 pages double spacing

Conference Proceedings

  • S. S. Liu, H. Huang and Tong Qiu, 2018, "Wireless Monitoring System to Diagnose Problematic Trackbed: Case Study at Mud Spot", pp. 1-8
  • S. S. Liu, H. Huang, Tong Qiu and B. Kerchof, 2018, "Characterization of Ballast Particle Movement at Mud Spot", pp. 18-05139, 1-13
  • A. Ahmadipur and Tong Qiu, 2017, "Experimental Investigation of Effect of Soil Density and Inclination Angle on Impact Force from a Granular Sliding Mass on a Rigid Obstruction", ASCE, pp. 1-10
  • E. Kermani and Tong Qiu, 2017, "Simulation of Seepage through Fixed Porous Media using Smoothed Particle Hydrodynamics Method", ASCE, pp. 1-10
  • S. S. Liu, H. Huang and Tong Qiu, 2017, "Comparative Evaluation of Particle Movement in a Ballast Track Structure Stabilized with Biaxial and Multiaxial Geogrids", pp. 17-04365, 1-10
  • P. Kheiry, Mansour Solaimanian, Tong Qiu and I. Boz, 2017, "High-Frequency Shear and Young's Modulus of Asphalt Concrete Through Resonant Column Testing of Small-Scale Specimens", pp. 17-06822, 1-10
  • K. Doyle and Tong Qiu, 2016, "Piecewise-Linear Modeling of Combined Vacuum and Surcharge Preloading at the Second Bangkok International Airport", ASCE, pp. 1-8
  • S. S. Liu, H. Huang and Tong Qiu, 2016, "Laboratory Investigation of Geogrid Reinforced Railroad Ballast Performance on Particle Movement by “SmartRock", pp. 1-8
  • H. Chen, H. Hu and Tong Qiu, 2016, "Review on Bearing Capacity and Seismic Analysis of Pre-stressed High-strength Concrete Piles", pp. 1-16
  • S. S. Liu, H. Huang, Tong Qiu and Y. Gao, 2016, "Study on Ballast Particle Movement at Different Locations beneath Crosstie using “SmartRock”", JRC, pp. 8 pages, single spacing
  • S. S. Liu, H. Huang, Tong Qiu and J. Kwon, 2016, "Effect of Geogrid on Railroad Ballast Studied by SmartRock", pp. 1-14
  • S. S. Liu, H. Huang and Tong Qiu, 2015, "Laboratory Development and Testing of “SMARTROCK” for Railroad Ballast using Discrete Element Modeling", JRC, (JRC2015-5694), pp. 1-6
  • K. Doyle, Aleksandra Radlinska and Tong Qiu, 2015, "Material Properties of Crushable Concrete for Use in Vehicle Anti-Ram Barriers", (Paper #15-4218), pp. 1-13
  • Alavi Gharahbagh, Tong Qiu and J. Rostami, 2014, "Effect of Water Content on the Abrasivity of Granular Soils in Soft Ground Tunneling Applications", ASCE, pp. 485-494
  • K. Doyle and Tong Qiu, 2014, "Piece-wise Linear Modeling of Combined Vacuum and Surcharge Preloading at the Second Bangkok International Airport", ASCE, pp. 122-130
  • E. Kermani, T. B. Li and Tong Qiu, 2014, "Discrete Element Method Simulation of Granular Column Collapse", ASCE, pp. 1-8
  • J. Park, Tong Qiu and Y. Kim, 2014, "A Field Investigation of Pullout Resistance of Steel Anchors in Rock, From Soil Behavior Fundamentals to Innovations in Geotechnical Engineering: Honoring Roy Olson", ASCE, pp. 609-616
  • Y Guadalupe-Torres, Y. B. Huang, Tong Qiu, C. D. P. Baxter and P. J. Fox, 2013, "Evaluation of Effective Density Concept in Calculating Small Strain Shear Modulus of Coarse Grained Soils from Shear Wave Velocity", pp. 1-2
  • Wei Chen, Tianbin Li and Tong Qiu, 2013, "Parametric Study of Earthquake-Induced Slope Deformations", ASCE, pp. 1216-1225
  • Tong Qiu, W. C. Kogelmann and K. Talebi, 2013, "Optimizing Design of Soil Mixing Equipment through COMSOL Simulations", pp. 1-3
  • Y. B. Huang and Tong Qiu, 2013, "Evaluation of Effective Soil Density in Resonant Column Tests", ASCE, pp. 685-693
  • Wei Chen and Tong Qiu, 2012, "Simulation of Earthquake-Induced Slope Deformation Using SPH Method", ASCE, pp. 556-565
  • Lynsey D. Reese, Tong Qiu, Daniel G. Linzell, Zoltan Rado and Sean Brennan, 2012, "Development of Landscape Vehicular Anti-ram Systems through Computational and Experimental Methods", pp. 1-10
  • W. Chen and Tong Qiu, 2011, "Numerical Simulations of Granular Materials using Smoothed Particle Hydrodynamics Method", ASCE, pp. 157-164
  • W. Chen and Tong Qiu, 2011, "Simulation of Fluid Flow through Porous Media using Smoothed Particle Hydrodynamics Method", ASCE, pp. 4195-4203
  • W. Chen and Tong Qiu, 2010, "Coupled SPH-DEM Method for Fluid-Solid Interaction in Saturated Granular Materials", pp. 1-2
  • W. Chen and Tong Qiu, 2010, "Simulation of Pore-Scale Fluid Flow through Glass Beads using Lattice Boltzmann Method", ASCE, pp. 293-300
  • M. V. Gangone, M. J. Whelan, K. Janoyan, L. Minnetyan and Tong Qiu, 2010, "Wireless Sensor Performance Monitoring of an Innovative Bridge Design in New York State", IABMAS, pp. 1-7
  • W. Chen and Tong Qiu, 2009, "Probabilistic Finite Strain Consolidation with Stochastic Soil Compression Index and Hydraulic Conductivity", ASCE, pp. 7-12
  • Tong Qiu, 2008, "Pore Fluid Induced Damping of Saturated Soil in Resonant Column Tests", ASCE, pp. 1-10
  • Tong Qiu and Patrick Fox, 2008, "Effective Soil Density for Small Strain Shear Wave Propagation", ASCE, pp. 1-9
  • M. J. Whelan, K. D. Janoyan and Tong Qiu, 2008, "Integrated Monitoring of Wind Plant Systems", 6933, (69330F), pp. 1-3
  • Tong Qiu, Patrick Fox, K. D. Janoyan, J. P. Stewart and J. W. Wallace, 2003, "Response and Analysis of a Large Diameter Drilled Shaft Subjected to Lateral Loading", ASCE, pp. 613-624
  • A. Ahmadipur and Tong Qiu, , "Experimental Investigation of Effects of Sliding Distance on Impact Force from Granular Sliding Mass to a Rigid Obstruction", ASCE, pp. 1-10
  • E. Kermani and Tong Qiu, , "Simulation of Quasi-Static Collapse of Granular Columns using Smoothed Particle Hydrodynamics Method", ASCE, pp. 1-10
  • M. Khosrojerdi, Tong Qiu, Ming Xiao and J. Nicks, , "Numerical Investigation of the Performance of Geosynthetic-Reinforced Soil Piers under Axial Loading", ASCE, pp. 1-10
  • M. Khosrojerdi, Ming Xiao, Tong Qiu and J. Nicks, , "Prediction Model for Estimating the Immediate Settlement of Foundation Placed on Reinforced Soil", ASCE, pp. 1-10
  • B. Kermani, Ming Xiao, Shelley M Stoffels and Tong Qiu, , "Magnitude and Rate of Migration of Fine Subgrade Soil into Granular Subbase under Flexible Pavement Due to Cyclic Traffic Loading", ASCE, pp. 1-10

Research Projects

  • July 2015 - June 2020, "CAREER: Experimental, Numerical, and Case Studies of Landslide Mobility," (Sponsor: National Science Foundation).
  • November 2018 - November 2020, "Quantification of Track Instabilities due to Ballast Movement at Special Locations using Integrated Sensor Networks," (Sponsor: Federal Railroad Administration).
  • July 2017 - July 2020, "Three-dimensional computational modeling of turbulent flow field, bed morphodynamics and liquefaction adjacent to munitions," (Sponsor: Strategic Environmental Research and Development Program, DOD).
  • July 2017 - June 2018, "Sensing Mechanism and Real Time (SMART) Computing for Granular Materials," (Sponsor: Institute for Cyber Science Seed Grant).
  • April 2014 - October 2017, "Service Limit State Design and Analysis of Engineered Fills for Bridge Support," (Sponsor: Federal Highway Administration (FHWA), U.S. Department of Transportation).
  • July 2015 - June 2017, "RDT&E of Vehicle Anti-Ram Barriers," (Sponsor: Department of State).
  • October 2015 - June 2016, "Geogrid Performance Evaluation by ‘SmartRock’," (Sponsor: Tensar International Corporation).
  • November 2014 - June 2016, "Evaluation of Geotextile Separation to Prevent Migration of Subgrade Fines into Subbase," (Sponsor: Pennsylvania Department of Transportation).
  • September 2014 - August 2015, "Synthesis and Optimization of High-Energy Absorbing Materials," (Sponsor: College of Engineering Innovation Grant).
  • September 2013 - June 2015, "RDT&E of Vehicle Anti-Ram Barriers," (Sponsor: Department of State).
  • July 2014 - June 2015, "Laboratory Development and Testing of SmartRock for Railroad Ballast Research (Phase 1)," (Sponsor: Federal Railroad Administration).
  • September 2014 - August 2015, "Acquisition of Laminar Shear Box for Seismic Shake Table," (Sponsor: College of Engineering Instructional and Research Equipment Grant Program).
  • August 2013 - May 2014, "Numerical Simulations of Landslide Runout," (Sponsor: Mid-Atlantic Universities Transportation Center).
  • August 2014 - December 2014, "Evaluation of Hydraulic Plate Compactor," (Sponsor: Pennsylvania Department of Transportation).
  • September 2011 - November 2014, "Collaborative Research: Critical Hydraulic Conditions for Piping in Sandy Soils, Laboratory Measurement and Numerical Simulation," (Sponsor: National Science Foundation).
  • February 2012 - September 2014, "Optimizing Design and Site-Specific Selection of Hydraulic Soil Mixing Equipment," (Sponsor: Alpine Equipment LLC and Ben Franklin Foundation).
  • July 2012 - June 2013, "Building a Solid Foundation: The Development of On-Line Modules for Teaching the Fundamentals of Structural Metals to Civil and Environmental Engineering Students," (Sponsor: Schreyer Institute for Teaching Excellence).
  • July 2012 - December 2013, "Nondestructive Evaluation of Warm Mix Asphalt through Resonant Column Testing," (Sponsor: Mid-Atlantic Universities Transportation Center).
  • September 2008 - August 2012, "Analytical and Experimental Study of Pore Fluid Induced Damping and Effective Density in Saturated Soil during Shear Wave Excitations," (Sponsor: National Science Foundation).
  • April 2009 - March 2010, "US-China Planning Visit: Earthquake-Induced Landslide Hazard Assessment," (Sponsor: National Science Foundation).

Honors and Awards

Service

Service to Penn State:

Service to External Organizations:

 


 

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The Penn State Civil and Environmental Engineering Department, established in 1881, is internationally recognized for excellence in the preparation of undergraduate and graduate engineers through the integration of education, research, and leadership.

Department of Civil & Environmental Engineering

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The Pennsylvania State University

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Phone: 814-863-3084