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Articles 151 - 180 of 11763
Full-Text Articles in Civil Engineering
Potential Of Stamp Sands As Cemented Tailings, Samuel Sukaria
Potential Of Stamp Sands As Cemented Tailings, Samuel Sukaria
Dissertations, Master's Theses and Master's Reports
Worldwide mine tailings ponds and reservoirs occupy some 534 billion m3 of space with the volume expected to increase as economic demand for minerals increases over the next decades. These reservoirs produce adverse effects on local communities and ecosystems through structural failure resulting in mass flooding events, drainage of pollutants into water supply and emissions of airborne particulate matter. Methods developed to find use for tailings include extraction of residual minerals and aggregates in construction materials. The latter method has already been used in mining operations to stabilize mining reservoirs and stopes, and as placement for temporary road work …
Feasibility Study Of Concurrent Removal Of Organics And Ammonium Using An Iron Dosed Upflow Anaerobic Sludge-Blanket Bioreactor, Morgan Elizabeth Amos
Feasibility Study Of Concurrent Removal Of Organics And Ammonium Using An Iron Dosed Upflow Anaerobic Sludge-Blanket Bioreactor, Morgan Elizabeth Amos
Graduate Theses, Dissertations, and Problem Reports (ETD)
Aerobic microbial reactions have commonly been utilized in treatment processes to oxidize and remove organics and nitrogen through aeration, using processes such as nitrification that converts ammonium (NH4+) into nitrite (NO2-) and nitrate (NO3-). Anoxic microbial reactions like denitrification often require organic compounds as an external source to chemically reduce the oxidized nitrogen (NO3- and NO2-) to nitrogen gas (N2) for nitrogen removal from the liquid phase. These mainstream processes have a high chemical cost and energy footprint which results in an increased release …
Smart Dynamic Concrete: Effect Of Coarse Aggregate Size Distribution On Fresh, Mechanical And Durability Properties, Venu Sipelli, Kamineni Aditya, Shravya Sripadapu
Smart Dynamic Concrete: Effect Of Coarse Aggregate Size Distribution On Fresh, Mechanical And Durability Properties, Venu Sipelli, Kamineni Aditya, Shravya Sripadapu
Mansoura Engineering Journal
SDC is a self-flowing concrete that demonstrates improved material efficiency through optimized aggregate gradation. Unlike SCC, which relies on high powder content for improved flowability, SDC provides improved flowability by optimized aggregate gradation, making it a promising alternative to SCC. This paper presents the fresh, mechanical, and durability performance of M40-grade SDC using OPC 53 grade cement, GGBS, CRF, and polycarboxylate-based superplasticizer. A constant cementitious content of 470 kg/m³ and water–cement ratio of 0.38 were maintained. The fresh, mechanical, and durability performances of SDC using three types of coarse aggregate combinations, namely, 70% 10 mm + 30% 20 mm, 75% …
Integrated Corridor Management Framework For Severe Freeway Incidents, Sanjida Afroz Iqra
Integrated Corridor Management Framework For Severe Freeway Incidents, Sanjida Afroz Iqra
Graduate Studies Theses and Dissertations 2026
Traffic incidents are a major source of non-recurrent congestion on urban freeways, generating substantial mobility, safety, and economic impacts. Severe incidents that block multiple or all travel lanes are particularly disruptive because they degrade freeway operations and propagate congestion onto surrounding arterials. Effective Integrated Corridor Management (ICM) requires the ability to identify severe incidents, estimate their network-wide impacts, and anticipate the traffic conditions and driver behaviors that contribute to instability. This dissertation develops a data-driven ICM framework to address these challenges using real-world incident, crash, detector, and connected vehicle data from major Central Florida corridors, including I-4 and SR-417. The …
Generating Boundary Conditions For Compound Flood Modeling In A Probabilistic Framework, Pravin Maduwantha Mahanthe Gamage
Generating Boundary Conditions For Compound Flood Modeling In A Probabilistic Framework, Pravin Maduwantha Mahanthe Gamage
Graduate Studies Theses and Dissertations 2026
Flooding in coastal riverine environments is often driven by the combined influence of multiple hydrometeorological flood drivers, including storm surge, rainfall, waves, and river discharge, which is referred to as compound flooding. A robust flood hazard assessment requires simulation of a wide range of flood driver conditions through dynamic compound flood models to capture the variability in resultant flooding. However, such assessments remain limited by the short length of observational records and the high computational cost of physics-based methods used to generate temporally varying boundary conditions. This dissertation develops a statistical framework to characterize compound flood drivers and generate large …
Discrete Element Modeling Of Granular Soils: Critical State Behavior Applied To Impact Pile Driving, Esteban Patino Marin
Discrete Element Modeling Of Granular Soils: Critical State Behavior Applied To Impact Pile Driving, Esteban Patino Marin
Graduate Studies Theses and Dissertations 2026
This thesis investigates the use of the Discrete Element Method (DEM) to study two complementary aspects of granular soil mechanics: critical state behavior of granular materials and dynamic response of driven piles in sand, both of which are governed by the same particle-scale mechanisms of dilation, contraction, and fabric evolution.
The first examines the critical state behavior and fabric anisotropy of granular soils through DEM simulations of direct shear, direct simple shear, and true triaxial tests. Sphere-cluster particles representative of a uniform sand are used in two assemblages of approximately twenty-five thousand and one hundred twenty-five thousand spheres to evaluate …
Statewide Corridor Evacuation Response And Re-Entry Behaviors In Florida During Hurricane Irma, Xin Wang, Yuan Zhu, Hong Yang, Kun Xie
Statewide Corridor Evacuation Response And Re-Entry Behaviors In Florida During Hurricane Irma, Xin Wang, Yuan Zhu, Hong Yang, Kun Xie
Electrical & Computer Engineering Faculty Publications
Hurricane Irma stands as one of the most destructive tropical storms to make landfall in the United States, particularly impacting the State of Florida, where it prompted the largest evacuation in history with approximately 7 million residents. The profound consequences of mass evacuation underscore the critical need to understand travel behaviors during hurricane evacuation and the recovery process. This research analyzes statewide evacuation and re-entry patterns, leveraging diverse datasets, including TTMS data from main corridors and GIS data. A statewide corridor-based empirical analysis framework is constructed to characterize evacuation and re-entry response patterns using sensor-based traffic observations. The results show …
Prediction Of Maximum Local Scour Depth Due To Horizontal Jets Of Flushing Gate Using Artificial Neural Network, Adhy Kurniawan, Muhammad Sulaiman, Agus Maryono, Bambang Agus Kironoto, Amalia Ula Hazhiyah
Prediction Of Maximum Local Scour Depth Due To Horizontal Jets Of Flushing Gate Using Artificial Neural Network, Adhy Kurniawan, Muhammad Sulaiman, Agus Maryono, Bambang Agus Kironoto, Amalia Ula Hazhiyah
Makara Journal of Technology
Local scour is a serious concern for hydraulic engineers. To maintain the reservoir capacity, flushing accumulated sediment is necessary, resulting in a turbulent and scouring jet from the flushing gate. Predicting the maximum scour depth from these water jets is crucial for civil engineers. Despite many proposed equations, one have shown consistent applicability due to the complex nature of the process. Ensuring accurate prediction between hydraulic parameters and the geometry of the scour hole in prototype experiments remains a key issue. To address this issue, this paper examines the use of artificial neural network (ANN) analysis as a computing device …
Compression Forming Of Basic Oxygen Furnace Slag-Gypsum Blocks: Performance Enhancement And Environmental Assessment, Fengyi Zhang
Compression Forming Of Basic Oxygen Furnace Slag-Gypsum Blocks: Performance Enhancement And Environmental Assessment, Fengyi Zhang
Student Works (2020-2029)
The construction industry plays a crucial role in global development but faces significant environmental challenges, particularly CO2 emissions from cement production. Gypsum blocks provide a sustainable alternative to traditional cement concrete blocks. However, the low mechanical strength and water resistance of gypsum materials limit the widespread adoption of gypsum-based materials in the construction industry. This study initially produced gypsum-based blocks using compression forming, adding supplementary cementitious materials (SCMs), and subjecting accelerated carbonation curing (ACC). It was found that compression forming addressed the shortcomings of traditional block manufacturing (high energy consumption and long production time), and the addition of SCMs generated …
Flood Prediction With Sentinel-1 Synthetic Aperture Radar From Hurricane Helene, Jingyu Xiao, Jessica Li
Flood Prediction With Sentinel-1 Synthetic Aperture Radar From Hurricane Helene, Jingyu Xiao, Jessica Li
The Journal of Purdue Undergraduate Research
Floods are the most common natural disaster globally, causing thousands of deaths every year. Timely and accurate flood forecasts are crucial for developing early warning systems, evacuation plans, and effective strategies to enhance community resilience. Soil moisture is an important parameter in flood forecasting. Unfortunately, existing soil moisture sensor networks and optical remote sensing–based techniques for soil moisture estimation lack the spatial resolution needed for accurate flood forecasting. This study presents an approach for flood prediction using Sentinel-1 C-band synthetic aperture radar (SAR) data. SAR offers high spatial resolution and operates day and night under all weather conditions, making it …
An Integrated Multivariate Econometric Modeling Framework For Risky Driving Behavior Related Crashes: Evaluating Crash Risk And Severity Across Zones, Pabitra Kumar Roy
An Integrated Multivariate Econometric Modeling Framework For Risky Driving Behavior Related Crashes: Evaluating Crash Risk And Severity Across Zones, Pabitra Kumar Roy
Dissertations and Theses
Rapid advancements in crash modeling have yet to fully integrate multiple behavior-driven crash types and their severity outcomes within a single, scalable framework, specially in a way that captures the sequential nature of these behaviors where one risky action may amplify another. This study proposed an integrated multivariate econometric framework to jointly model crash frequency and severity outcomes for three major behaviorally driven crash types: alcohol-related, distraction-related, and aggressive-driving-related crashes. Specifically, using Oregon's 2022 census block group-level crash data, we propose an Integrated Multivariate Negative Binomial – Generalized Ordered Probit Fractional Split (IMNB–GOPFS) model to analyze these dimensions simultaneously while …
Traffic Study, Kennedy Case, Koryn Harms, Min Kaung, Abel Assefa, Eli Lockert, Dj Church
Traffic Study, Kennedy Case, Koryn Harms, Min Kaung, Abel Assefa, Eli Lockert, Dj Church
Student Scholar Symposium
No abstract provided.
Gaylord Opryland Congestion Reduction, Kennedy Case
Gaylord Opryland Congestion Reduction, Kennedy Case
Student Scholar Symposium
Lipscomb University’s College of Engineering is working collaboratively with Gaylord Opryland Resort and Convention Center to explore potential solutions to its traffic congestion problem, particularly during peak times such as the holiday season. This research aims to identify strategies that can alleviate congestion in the resort area. With over one million visitors during the holiday season each year and limited parking capacity, the traffic congestion poses a significant challenge to both operational efficiency and visitor experience. The primary objective of this research is to identify strategies that optimize parking usage, reduce congestion, and improve the overall visitor experience. Beginning with …
Green Roof, Elizabeth Fulton
Green Roof, Elizabeth Fulton
Student Scholar Symposium
Green roofs, a concept dating back over 100 years, offer a sustainable solution to urban environmental challenges such as poor air quality, the urban heat island effect, and increased stormwater runoff. This study focuses on green roofs as an effective way to address these issues in cities like Nashville, which are experiencing rapid urbanization. By transforming rooftops into green spaces, green roofs can improve air quality, manage stormwater, and reduce urban heat, while also enhancing the aesthetic value of urban environments. The research explores the integration of green roofs, considering factors like substrate composition, plant selection, and environmental conditions. Key …
Smart Traffic Lights, Roa Ghanem
Smart Traffic Lights, Roa Ghanem
Student Scholar Symposium
Nashville is quickly growing, and as a result, traffic congestion is becoming a bigger challenge for commuters. Longer travel times and increased vehicle emissions are major concerns. This research examines how smart traffic lights can improve traffic flow and reduce congestion in the city. By analyzing peer-reviewed journal articles, this study explores how AI, IoT, and machine learning can optimize traffic signal timing in real time. In particular, simulation models illustrate how these technologies adapt dynamically to changing traffic patterns in cities similar to Nashville. Furthermore, this research compares the cost-effectiveness of smart traffic lights with other solutions, such as …
Ai Photography-Based Gradation Feasibility Study For Streams And Rivers In Davidson County, Tn, Nolen Ritzel, Lauren Baker
Ai Photography-Based Gradation Feasibility Study For Streams And Rivers In Davidson County, Tn, Nolen Ritzel, Lauren Baker
Student Scholar Symposium
Artificial Intelligence (AI) has demonstrated significant potential in engineering applications, specifically in soil gradation analysis using two-dimensional imagery. While studies have shown experimental success, AI-based soil gradation methods are not widely used in industry due to the lack of field research performed. Moreover, the current methodology is suitable but lacks advancement. The motivation behind the research was to aid in bridging this gap between experimental research and industry application by determining whether existing AI tools can and/or should be applied to bank soil in streams and rivers in the Greater Nashville Area. Several locations next to streams and rivers distributed …
Xibalbay, Guatemala Water Distribution System Design, Nolen Ritzel, Lauren Baker, Robert Trey Owen, Jessamine Reckard, Joelle Noble, Sara Berry-Brown
Xibalbay, Guatemala Water Distribution System Design, Nolen Ritzel, Lauren Baker, Robert Trey Owen, Jessamine Reckard, Joelle Noble, Sara Berry-Brown
Student Scholar Symposium
This study presents the design and validation of a water distribution system for Xibalbay, Guatemala, in collaboration with the Peugeot Center and a local Guatemalan engineering firm, ADICAY. The project aimed to ensure reliable water access while maintaining residual pressures to the US standard, between 20 to 120 psi. The proposed design was a two pressure-zone system with pumps in series. A comprehensive hydraulic model was developed using WaterGEMS to analyze system pressures, pump performance, and tank levels under various conditions. Limited on-site testing was performed by this team due to construction delays and electricity issues at the time of …
Evaluating The Impact Of Precast Vs. Cast-In-Place Concrete: A Life Cycle Assessment Of A Parking Garage In Nashville, Robert Trey Owen
Evaluating The Impact Of Precast Vs. Cast-In-Place Concrete: A Life Cycle Assessment Of A Parking Garage In Nashville, Robert Trey Owen
Student Scholar Symposium
Concrete is one of the most widely used building materials in the construction industry, generating $64 billion in revenue, according to the Concrete Financial Insights Index. Given the material’s extensive use, construction professionals seek ways to optimize construction project budgets and schedules. Precast concrete, which is manufactured offsite and then transported to the project when needed, is a potential solution for these goals. This research aims to quantify the benefits of precast concrete over typical cast-in-place methods using a life cycle analysis for a parking garage structure located in Nashville Tennessee.
The data for the two materials will be compared …
Improving Home Affordability In Greater Nashville Through Construction Efficiency And Innovations, Nate Mclain
Improving Home Affordability In Greater Nashville Through Construction Efficiency And Innovations, Nate Mclain
Student Scholar Symposium
Engineering Greater Nashville Home Affordability
Long Term Financial Analysis For Opry Mills Hotel And Resort, Eli Lockert
Long Term Financial Analysis For Opry Mills Hotel And Resort, Eli Lockert
Student Scholar Symposium
In 2024 a Lipscomb Senior Design team completed a design project for the Opryland Hotel. The project, aimed at reducing humidity levels in the large greenhouse-like atrium and overall power usage, included multiple phases and equipment. This research continues the work of that team in an effort to determine whether the proposed system is a cost-effective approach. The research specifically evaluates the system outlined in the Opryland Final Design Report, completed in April of 2024. Using a holistic approach, this study employs life-cycle cost analysis (LCCA) to assess the economic feasibility of the proposed system through various empirical methods. A …
Comparative Analysis Of Machine Learning And Statistical Models For Railroad–Highway Grade Crossing Safety, Erickson Senkondo, Deo Chimba, Masanja Madalo, Afia Yeboah, Shala Blue
Comparative Analysis Of Machine Learning And Statistical Models For Railroad–Highway Grade Crossing Safety, Erickson Senkondo, Deo Chimba, Masanja Madalo, Afia Yeboah, Shala Blue
Civil and Architectural Engineering Faculty Research
Railroad-highway grade crossings (RHGCs) are critical points of conflict between roadway and rail systems, contributing to over 2000 crashes and 250 fatalities annually in the United States. This study applied machine learning methods (ML) techniques to model and predict crash frequency at RHGCs, using a comprehensive dataset from the Federal Railroad Administration (FRA) and Tennessee Department of Transportation (TDOT). The dataset included 807 validated crossings, incorporating roadway geometry, traffic volumes, rail characteristics, and control features. Five ML models—Random Forest, XGBoost, PSO-Elastic Net, Transformer-CNN, and Autoencoder-MLP—were developed and compared to a traditional Negative Binomial (NB) regression model. Results showed that ML …
Quantifying Benefits Of Biochar With Variable Absorption Capacity As A Partial Cement Replacement In Concrete, Benjamin Shannon
Quantifying Benefits Of Biochar With Variable Absorption Capacity As A Partial Cement Replacement In Concrete, Benjamin Shannon
Theses and Dissertations
Extensive research has been conducted on biochar-incorporated concrete. However, no concrete mixture design guideline is currently available for implementing biochar incorporation in practice. The objective of this study was to correlate biochar absorption capacity with the compressive strength of biochar-incorporated concrete, to quantify the benefits of biochar and develop mix design guidelines. Biochar with varying absorption capacities was incorporated into concrete at 10%, 20%, and 40%. Strength and moisture loss were recorded over the 90-day curing period of the biochar-incorporated concrete. Results revealed three main findings: (1) in 10%, 20%, and 40% biochar mixes, the normalized strengths ranged from 0.65–0.85, …
Evaluating Three Lightweight Airfield Matting Systems Under F-35b Aircraft Loading, Brett D. Cobb
Evaluating Three Lightweight Airfield Matting Systems Under F-35b Aircraft Loading, Brett D. Cobb
Theses and Dissertations
Aircraft matting has been in service since WWII. It has provided a maneuverable substrate to allow aircraft forward operations to take place in austere environments. AM2 is the main matting system that has been used for generations. In recent years, the need for a lightweight matting system has come to the forefront of the matting community. This is not only to improve the maneuverability, but also the shipping restrictions. This research is on three different light weight matting systems above subgrade with two CBR values (i.e., 6 and 25). A specially designed load cart was adopted to simulate F-35B loading. …
Analysis Of Trends From Mass Concrete Case Studies, Bradford Songer
Analysis Of Trends From Mass Concrete Case Studies, Bradford Songer
Theses and Dissertations
While conventional mass concrete is well understood, high strength and ultra high performance concrete present unique challenges when placed in large volumes. This thesis compiles and analyzes thermal data from mass high strength and ultra high performance concrete placements collected over the past eight years by the U.S. Army Corps of Engineers in support of military construction projects. The datasets span a wide range of material types and volumes. The analysis identifies trends in temperature development, temperature differentials, and the influence of mixture constituents on heat generation. This thesis contributes to the improved understanding of thermal behavior in mass concrete. …
Design And Development Of Rechargeable Cement-Based Batteries For Energy Storage Within Infrastructure, Dandan Yin
Design And Development Of Rechargeable Cement-Based Batteries For Energy Storage Within Infrastructure, Dandan Yin
Tennessee State University Alumni Theses and Dissertations
This dissertation presented the design, fabrication, and evaluation of rechargeable cement-based batteries (CBB) for energy storage within infrastructure. The study aimed to integrate electrochemical energy storage directly into cementitious materials, enabling multifunctional and sustainable building systems. Nickel–iron electrodes and cement-based solid electrolytes to form durable, solid-state systems. The electrochemical impedance spectroscopy, cyclic voltammetry, and galvanostatic charge–discharge tests,along with microscopic testing and mechanical testing analyses, were conducted to assess battery performance. The carbon fiber mesh CBB achieved stable cycling over 100 cycles with quasi-reversible redox behavior and a maximum areal energy density of 7.6 Wh m⁻². Nickel foam electrodes, with their …
Mechanical, Durability, And Environmental Performance Of Limestone Powder-Modified Ultra-High-Performance Concrete, Yashovardhan Sharma, Meghana Yeluri, Srinivas Allena
Mechanical, Durability, And Environmental Performance Of Limestone Powder-Modified Ultra-High-Performance Concrete, Yashovardhan Sharma, Meghana Yeluri, Srinivas Allena
Civil and Environmental Engineering Faculty Publications
Ultra-high-performance concrete (UHPC) delivers outstanding durability and strength but typically relies on high Portland cement content. This study evaluates a 20% cement replacement with limestone powder (LP) in UHPC and benchmarks performance under two curing regimes: moist curing (MC) and warm bath curing at 90 degrees C (WB). Metrics include workability, compressive and flexural behavior, shrinkage, freeze-thaw resistance, chloride transport (surface resistivity, RCPT), material cost, and embodied CO2. LP improved fresh behavior: flow increased by 14.3% in plain UHPC and 33% in fiber-reinforced UHPC (FR-UHPC). Compressive strengths remained in the UHPC range at 28-56 days (approximately 142-152 MPa with LP), …
Analytical Assessment Of Pedestrian Crashes On Low-Speed Corridors, Therezia Matongo, Deo Chimba
Analytical Assessment Of Pedestrian Crashes On Low-Speed Corridors, Therezia Matongo, Deo Chimba
Civil and Architectural Engineering Faculty Research
This study presents a comprehensive statewide analysis of pedestrian-involved crashes recorded in Tennessee between 2002 and 2025. We evaluated the influence of roadway, traffic, environmental, and socioeconomic factors on pedestrian crash frequency and severity with substantial components focused on lighting impacts including dark and nighttime. A multi-method analytical framework was implemented, combining descriptive statistics, non-parametric tests, regression analysis, and advanced machine learning techniques including the Adaptive Neuro-Fuzzy Inference System (ANFIS) and the gradient boosting model (XGBoost). Results indicated that dark and nighttime conditions accounted for a disproportionate share of severe crashes—fatal and serious injuries under dark conditions reached over 40%, …
Equity-Aware Natural Hazards Resilience Assessment And Improvement Of Road Networks, Naqib Mashrur
Equity-Aware Natural Hazards Resilience Assessment And Improvement Of Road Networks, Naqib Mashrur
LSU Doctoral Dissertations
As climate change intensifies the frequency and severity of hurricanes, the resulting flood events pose escalating threats to transportation infrastructure and community well-being. This dissertation addresses the intersection of flood resilience, network connectivity, and social equity by integrating principles from network analysis, equity planning, and disaster resilience. The research begins by examining the social dimensions of accessibility loss during hurricane-induced flooding. Spatial and demographic analysis reveals that Native American and Hispanic populations in the case study region experience the most significant reductions in access to essential service facilities, highlighting inequities in systems.
Investigating a region southern Louisiana road network demonstrates …
Identifying Influential Assets In Higher Order Interdependent Infrastructure Networks Through Population Impact, Akshat Chulahwat, Emad M. Hassan, Mersedeh Tariverdi, Miguel Nunez-Del-Prado, Hussam Mahmoud
Identifying Influential Assets In Higher Order Interdependent Infrastructure Networks Through Population Impact, Akshat Chulahwat, Emad M. Hassan, Mersedeh Tariverdi, Miguel Nunez-Del-Prado, Hussam Mahmoud
Civil, Architectural and Environmental Engineering Faculty Research & Creative Works
A significant increase in catastrophic events worldwide has had a disastrous impact on the built environment, as these disruptive events devastate critical infrastructure lifelines, resulting in a substantial reduction of services across a community. Management of critical infrastructure assets is essential, and this can be achieved by optimal resource allocation to key assets within interconnected systems. The majority of current literature focuses on capturing the behavior of infrastructure systems individually, which presents a computational problem when dealing with complex, interdependent infrastructure systems. In this study, a comprehensive framework to evaluate a type of influence metric for ranking node and edge …
Friction And Texture Evaluation Of Asphalt-Based Binders As Alternatives To Epoxy-Based High-Friction Surface Treatments, Alireza Roshan, Magdy Abdelrahman
Friction And Texture Evaluation Of Asphalt-Based Binders As Alternatives To Epoxy-Based High-Friction Surface Treatments, Alireza Roshan, Magdy Abdelrahman
Civil, Architectural and Environmental Engineering Faculty Research & Creative Works
High-friction surface treatment (HFST) is a safety-focused pavement treatment that restores and maintains pavement friction to reduce road accidents. Traditional epoxy-based HFSTs, while widely used, face challenges such as high costs, potential compatibility issues with the substrate pavement, and long-term durability under specific conditions. This study investigates asphalt-based alternative HFST, which is compatible with various pavement types and cost-effective and versatile solutions for a wider range of pavement applications. Performance and friction testing, including the British pendulum test, British wheel test, and dynamic friction test, were performed to examine the coefficient of friction (COF) before and after polishing with a …