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Relevant bibliographies by topics / Curve extrapolation

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Academic literature on the topic 'Curve extrapolation'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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Journal articles on the topic "Curve extrapolation"

1

Gallacher, Daniel, Peter Auguste, and Martin Connock. "How Do Pharmaceutical Companies Model Survival of Cancer Patients? A Review of NICE Single Technology Appraisals in 2017." International Journal of Technology Assessment in Health Care 35, no. 2 (2019): 160–67. http://dx.doi.org/10.1017/s0266462319000175.

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AbstractObjectivesBefore an intervention is publicly funded within the United Kingdom, the cost-effectiveness is assessed by the National Institute of Health and Care Excellence (NICE). The efficacy of an intervention across the patients’ lifetime is often influential of the cost-effectiveness analyses, but is associated with large uncertainties. We reviewed committee documents containing company submissions and evidence review group (ERG) reports to establish the methods used when extrapolating survival data, whether these adhered to NICE Technical Support Document (TSD) 14, and how uncertain

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Dias, Luanna Costa, Lindemberg Lima Fernandes, and David Franco Lopes. "Elaboração e Extrapolação de Curvas-chave na Região Amazônica." Revista Brasileira de Geografia Física 12, no. 6 (2020): 2285. http://dx.doi.org/10.26848/rbgf.v12.6.p2285-2301.

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O estudo consiste na elaboração e extrapolação de curvas-chave localizadas na Região Amazônica. A elevada disponibilidade hídrica da Região requer hidrogramas precisos para gestão dos Recursos Hídricos. Foram escolhidas cinco estações, com período de dados de 1971 a 2015 e o uso de 463 medições de descarga, para elaboração de curvas-chave do tipo potência e relacionando “cota x vazão” empregando duas formas de calibração: utilização do programa GrafChav e da ferramenta Solver do Excel, tendo o coeficiente de Nash-Sutcliffe (NS) como validação. A extrapolação foi realizada pelos métodos: Logarí

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Liu, You Yu, Jiang Han, and Gou Zheng Zhang. "Research on Intelligent Extension Technology for Curves Based on Trend Extrapolation." Advanced Materials Research 482-484 (February 2012): 2596–99. http://dx.doi.org/10.4028/www.scientific.net/amr.482-484.2596.

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To solve the defect of being not extended for curves in some CAD software, the trend extrapolation principle was imported and the intelligent extension technology for curves was discussed in this paper. The methods of identifying and choosing the trend extrapolation model are provided. Three mathematical models including polynomial curve extension, Gompertz curve extension and exponential curve extension were built, which can be adopted according to the feature points in curves reasonably. This paper has solved the common and core problems, which can be applied to CAD software upgrade or re-de

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Cui, Yibo, Tianhong Zhang, Zhaohui Cen, Younes Al-Younes, and Elias Tsoutsanis. "A Novel Curve-and-Surface Fitting-Based Extrapolation Method for Sub-Idle Component Characteristics of Aeroengines." Aerospace 12, no. 6 (2025): 538. https://doi.org/10.3390/aerospace12060538.

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The component characteristics of an aeroengine below idle speed are fundamental for start-up process simulations. However, due to experimental limitations, these characteristics must be extrapolated from data above idle speed. Existing extrapolation methods often suffer from insufficient utilization of available data, reliance on specific prior conditions, and an inability to capture unique operating modes (e.g., the stirring mode and turbine mode of compressor). To address these limitations, this study proposes a novel curve-and-surface fitting-based extrapolation method. The key innovations

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Sato, Hiroyuki, Kosuke Omote, Akira Sato, and Kouki Ueno. "Extrapolation of Sigmoidal Creep Curve by Strain Acceleration Parameter." Key Engineering Materials 592-593 (November 2013): 606–9. http://dx.doi.org/10.4028/www.scientific.net/kem.592-593.606.

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It has been widely accepted that the creep characteristics at high temperatures are mainly evaluated by a minimum creep rate and a time to fracture. Although, a shape of creep curve may vary depending on deformation conditions, the apparent minimum creep rates may become the same value. Thus, for detailed analysis and prediction of creep behavior, other values should be considered which reflects the shape of each creep curve. For the purpose, authors have proposed Satos Strain-Acceleration-Parameter (SAP) which reflects strain rate change during creep. Based on the concept of SAP, the whole cr

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Hegazy, Riham, Gouda Mohammad, and Magdy Ibrahim Mohamed. "Extrapolation errors of force transducer curve fitting equations." Universitas Scientiarum 27, no. 3 (2022): 315–31. http://dx.doi.org/10.11144/javeriana.sc273.eeof.

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Calibration laboratories often face the challenge of the impossibility to perform full capacity range calibration of their force transducers, particularly below 10 % of the force transducer’s capacity. Sometimes these laboratories use curve fitting extrapolation to estimate and predict force transducer behavior within uncalibrated capacity ranges. This work deals with the study of extrapolation errors in force transducers to know and estimate prediction accuracies when using extrapolation for force transducer calibration in ranges below 10 % and between 50 % and 100 % of the transducer’s capac

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McConnell, David, Arthur White, Felicity Lamrock, et al. "OP20 Incorporating External Information In Survival Extrapolation Using A Simplified Bayesian Approach." International Journal of Technology Assessment in Health Care 40, S1 (2024): S10. https://doi.org/10.1017/s0266462324000837.

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IntroductionCost-effectiveness modeling often requires extrapolation of survival data from clinical trials over a long-term horizon. The choice of extrapolation method is often uncertain and can have a profound impact on the results. We propose a novel Bayesian approach towards incorporating external information (e.g., registry data or clinical opinion) into the extrapolation process as a means of reducing this uncertainty.Methods Standard parametric survival curves are fitted to immature time-to-event data using maximum likelihood estimation (MLE). Separately, external information on expected

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Ding, Yanna, Zijie Huang, Xiao Shou, Yihang Guo, Yizhou Sun, and Jianxi Gao. "Architecture-Aware Learning Curve Extrapolation via Graph Ordinary Differential Equation." Proceedings of the AAAI Conference on Artificial Intelligence 39, no. 15 (2025): 16289–97. https://doi.org/10.1609/aaai.v39i15.33789.

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Learning curve extrapolation predicts neural network performance from early training epochs and has been applied to accelerate AutoML, facilitating hyperparameter tuning and neural architecture search. However, existing methods typically model the evolution of learning curves in isolation, neglecting the impact of neural network (NN) architectures, which influence the loss landscape and learning trajectories. In this work, we explore whether incorporating neural network architecture improves learning curve modeling and how to effectively integrate this architectural information. Motivated by t

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Jansen, J. R., J. M. Bogaard, and A. Versprille. "Extrapolation of thermodilution curves obtained during a pause in artificial ventilation." Journal of Applied Physiology 63, no. 4 (1987): 1551–57. http://dx.doi.org/10.1152/jappl.1987.63.4.1551.

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The feasibility of three mathematical models to extrapolate the tail of thermodilution curves, when flectures are present in the descending limb, was tested in anesthetized pigs. The models were a local random walk model (LDRW), a log-normal distribution, and a two-compartment model. First, the accuracy of the extrapolation of the tail by each model was tested on two undisturbed curves by taking the truncation at five different points on the descending limb. The extrapolated curve area obtained from each model was compared with total area of the undisturbed curve. Next, dilution curves obtaine

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Martínez Plata, Juan Felipe, Efraín Antonio Domínguez Calle, and Hebert Gonzalo Rivera. "Uncertainty regarding instantaneous discharge obtained from stage-discharge rating curves built with low density discharge measurements." Ingeniería e Investigación 32, no. 1 (2012): 30–35. http://dx.doi.org/10.15446/ing.investig.v32n1.28517.

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This work concerned uncertainty analysis for constructing stage-discharge rating curves to estimate error or uncertainty regarding calculated discharges, considering different discharge measurement availability scenarios. A methodology was used for creating artificial samples of discharge measurements from real data observed in the field and the effect of variation on measurement quantity and distribution concerning instantaneous discharge uncertainty was then studied. The results indicated that discharge uncertainty mostly depends on the number of river discharge measurements used for rating

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Dissertations / Theses on the topic "Curve extrapolation"

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Thomas, Michael Patrick. "Long term extrapolation and hedging of the South African yield curve." Diss., Pretoria : [s.n.], 2009. http://upetd.up.ac.za/thesis/available/etd-06172009-085254.

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Šooš, Marek. "Segmentace 2D Point-cloudu pro proložení křivkami." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-444985.

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The presented diploma thesis deals with the division of points into homogeneous groups. The work provides a broad overview of the current state in this topic and a brief explanation of the main segmentation methods principles. From the analysis of the articles are selected and programmed five algorithms. The work defines the principles of selected algorithms and explains their mathematical models. For each algorithm is also given a code design description. The diploma thesis also contains a cross comparison of segmentation capabilities of individual algorithms on created as well as on measured

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Moudiki, Thierry. "Interest rates modeling for insurance : interpolation, extrapolation, and forecasting." Thesis, Lyon, 2018. http://www.theses.fr/2018LYSE1110/document.

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L'ORSA Own Risk Solvency and Assessment est un ensemble de règles définies par la directive européenne Solvabilité II. Il est destiné à servir d'outil d'aide à la décision et d'analyse stratégique des risques. Dans le contexte de l'ORSA, les compagnies d'assurance doivent évaluer leur solvabilité future, de façon continue et prospective. Pour ce faire, ces dernières doivent notamment obtenir des projections de leur bilan (actif et passif) sur un certain horizon temporel. Dans ce travail de thèse, nous nous focalisons essentiellement sur l'aspect de prédiction des valeurs futures des actifs. Pl

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Gazzotti, Giulia. "Corrosion resistance of aluminium alloys for civil and industrial applications." Master's thesis, Alma Mater Studiorum - Università di Bologna, 2020.

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Considering the long service life which is normally expected for buildings, the maintenance cost, the quality and durability of construction materials are strongly affected by triggering of spontaneous degradation processes. As regards specifically metallic materials, awareness of their corrosion behaviour in service condition, in every environment they can get in contact during life, is essential, for maintenance and cleaning operations as well. Corrosion rate measurements can be obtained from electrochemical tests. Corrosion mechanism of metallic alloy is a spontaneous phenomenon, but some

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Dotlačilová, Petra. "Demografický vývoj zemí Evropské Unie." Master's thesis, Vysoká škola ekonomická v Praze, 2011. http://www.nusl.cz/ntk/nusl-113483.

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The aim of this Master's thesis is to describe the past and future demographic development of selected EU countries. The second aim is to utilize methods for multicriteria evaluation of alternatives in the demography. The last aim is to describe methods used to extrapolate mortality curves. The theoretical part describes demographic indicators, methods used to extrapolate mortality curves and computational processes for methods for multicriteria evaluation of alternatives. The practical part includes the computation of demographic indicators and describes the progress of the indicators in the

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Hsu, Feng-Ju, and 許鳳如. "Statistical estimation of rarefaction and extrapolation curve for Beta diversity." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/54138180233188947727.

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Books on the topic "Curve extrapolation"

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U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., University of Tennessee Knoxville, and Oak Ridge National Laboratory, eds. Extrapolation of the J-R curve for predicting reactor vessel integrity. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1992.

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U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., University of Tennessee Knoxville, and Oak Ridge National Laboratory, eds. Extrapolation of the J-R curve for predicting reactor vessel integrity. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1992.

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U.S. Nuclear Regulatory Commission. Office of Nuclear Regulatory Research. Division of Engineering., University of Tennessee Knoxville, and Oak Ridge National Laboratory, eds. Extrapolation of the J-R curve for predicting reactor vessel integrity. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1992.

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4

Skinner, F. Interpretation of ultimate biochemical oxygen demand data via kinetic curve extrapolation models. Environmental Technology Division, Alberta Environmental Centre, 1990.

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Joyce, J. A. Extension and extrapolation of J-R curves and their application to the low upper shelf toughness issue. Supt. of Docs., U.S. G.P.O. [distributor], 1991.

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Book chapters on the topic "Curve extrapolation"

1

Sandström, Rolf. "Extrapolation." In Basic Modeling and Theory of Creep of Metallic Materials. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-49507-6_14.

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AbstractThe extrapolation of creep data to longer times is technically very important. The traditional way of extrapolating creep rupture data is to use time temperaturer parameters (TTPs). In this way data from several test temperatures are combined to a single master curve that can be used to assess rupture strengths at long times. Recently, there is much focus on machine learning techniques (neural networks, NNs). Both types of procedures can generate accurate results, but a detailed analysis is required. A good way to assess the quality of the results is to use the post assessment tests (P

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Kielhöfer, Lionel, Felix Mohr, and Jan N. van Rijn. "Learning Curve Extrapolation Methods Across Extrapolation Settings." In Lecture Notes in Computer Science. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-58553-1_12.

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Asadi, Farzin. "Interpolation, Extrapolation, and Curve Fitting." In Engineering Mathematics with MATLAB® and Simulink®. Springer Nature Switzerland, 2025. https://doi.org/10.1007/978-3-031-85244-2_6.

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Qiao, Langhao, Renjun Yan, and Yu Qiu. "Fatigue Life Assessment of Ship Hatch Corner Based on Hot Spot Stress Method." In Lecture Notes in Mechanical Engineering. Springer Nature Singapore, 2024. http://dx.doi.org/10.1007/978-981-97-1876-4_54.

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AbstractThe hatch corner of ship is the most prone area for stress concentration, which makes the fatigue problem of hatch corner particularly serious, and becomes a position that is easily damaged. Firstly, the hot spot stress method based on surface extrapolation is introduced, and the hatch corner of a bulk carrier is selected as the research object, the scale model test is designed and carried out, the finite element model is established, and the parameters of the corner form and different transition radii are analyzed. The CCS calculation specification evaluates the fatigue strength of ha

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Böck, J., A. Hoeft, H. Korb, J. Steinmann, H. G. Wolpers, and G. Hellige. "A Comparison of Extrapolation and Deconvolution of Thermo-Dye Dilution Curve, with Special Emphasis on States with Early Indicator Recirculation." In Practical Applications of Fiberoptics in Critical Care Monitoring. Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-75086-1_12.

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Hosaka, Mamoru. "Curves Through Given Points, Interpolation and Extrapolation." In Modeling of Curves and Surfaces in CAD/CAM. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-76598-8_8.

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Klemyatsionok, Peter, Svetlana Kolmogorova, and Sergey Kolmogorov. "Compression Curves’ Extrapolation to High Pressures for Soft Clay Soils." In Lecture Notes in Civil Engineering. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-0454-9_25.

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Chandrashekaran, Akshay, and Ian R. Lane. "Speeding up Hyper-parameter Optimization by Extrapolation of Learning Curves Using Previous Builds." In Machine Learning and Knowledge Discovery in Databases. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-71249-9_29.

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Chen, Xiao, Guan-Nian Chen, Bate Bate, and Yu-Chao Li. "Extrapolating Kd or Rd from Breakthrough Curves of Cesium Cations Transporting Through a Soil Column." In Environmental Science and Engineering. Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-13-2221-1_66.

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Jakóbczak, Dariusz Jacek. "Data Extrapolation via Curve Modeling in Analyzing Risk." In Analyzing Risk through Probabilistic Modeling in Operations Research. IGI Global, 2016. http://dx.doi.org/10.4018/978-1-4666-9458-3.ch001.

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Risk analysis needs suitable methods of data extrapolation and decision making. Proposed method of Hurwitz-Radon Matrices (MHR) can be used in extrapolation and interpolation of curves in the plane. For example quotations from the Stock Exchange, the market prices or rate of a currency form a curve. This chapter contains the way of data anticipation and extrapolation via MHR method and decision making: to buy or not, to sell or not. Proposed method is based on a family of Hurwitz-Radon (HR) matrices. The matrices are skew-symmetric and possess columns composed of orthogonal vectors. The operat

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Conference papers on the topic "Curve extrapolation"

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Kerr, C., D. Barker, and F. Walsh. "Electrochemical Techniques for the Evaluation of Porosity and Corrosion Rate for Electroless Nickel Deposits on Steel." In CORROSION 1997. NACE International, 1997. https://doi.org/10.5006/c1997-97269.

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Abstract The use of electrochemical techniques in assessing the porosity of electroless nickel deposits (1-24 μm) on steel substrates from hypophosphite baths is considered. The corrosion rate of the coated samples immersed in 0.125M H2SO4 at 22°C was determined using Tafel extrapolation and was found to decrease with decreasing porosity. Analysis of anodic polarisation curves and current-time data at fixed potentials gave a good indication of the extent of deposit porosity. The use of galvanic coupling experiments between a non-porous coating and test samples of varying deposit thickness was

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Yamamoto, Satoru, Kenkichi Tashiro, and Masaru Abe. "A Novel Corrosion Rate Monitoring Method for Steel in Soil Based on Tafel Extrapolation Method." In CORROSION 2021. AMPP, 2021. https://doi.org/10.5006/c2021-16967.

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ABSTRACT It is important to monitor the corrosion rates of steel in electrolyte environments such as aqueous solution as well as soil in order to evaluate the integrity of the members of facilities. As a nondestructive monitoring method, CIPE (Current Interrupted Polarizing Extrapolation) method was developed. By the CIPE method the corrosion rate is calculated by the Tafel equation obtained from the polarization curve of in-situ measurement. It was found that the CIPE method was useful to monitor corrosion rates of steel in concrete as well as in neutral aqueous solution as presented in the c

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Yamamoto, Satoru, Kenkichi Tashiro, Masaru Abe, and Takeharu Kawaoka. "A Novel Corrosion Rate Monitoring Method for Steel in Aqueous Solution Based on Tafel Extrapolation Method." In CORROSION 2019. NACE International, 2019. https://doi.org/10.5006/c2019-13254.

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Abstract It is important to monitor the corrosion rates of steel in electrolyte environments such as aqueous solution or soil in order to evaluate the integrity of the members of facilities. As the nondestructive monitoring method, polarization resistance (Rp) method is generally known. The corrosion rate icor is calculated by the equation of icor=k/Rp. Herein k is a constant decided on the specific condition of steel surface and the environment. It is not easy to decide k on each condition. As a monitoring method without deciding k has been demanded, CIPE (Current Interrupted Polarizing Extra

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Singh, A. K., A. J. Bagdasarian, and V. K. Malhotra. "Remaining Life Assessment of a 37 Year Old Catalytic Reforming Reactor." In CORROSION 1994. NACE International, 1994. https://doi.org/10.5006/c1994-94520.

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Abstract Metallographic studies and mechanical tests, including isostress rupture tests, were conducted on 1Cr-1/2Mo steel samples removed from a 37 year old catalytic reforming reactor vessel. The vessel operates in a hydrogen environment at 900°F (482°C) maximum. The base metal and to a lesser extent the heat affected zone (HAZ) exhibited some isolated grain boundary voids. Fissures or microcracks were not observed. No significant changes were found in the tensile strength and ductility but a small reduction in yield strength was noted. Both base metal and the weld metal had low toughness. H

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Quintanilla, H., A. Inde, A. Aguilar, et al. "Behavior of Corrosion Inhibitor on the New Ultra High Strength Steel." In CORROSION 2009. NACE International, 2009. https://doi.org/10.5006/c2009-09280.

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Abstract Electrochemical techniques have been used for investigating the inhibition of new ultra high strength steel grade. This kind of steel has been developed with improved strength, toughness and weldability in order to be used in well pipeline for oil production and transportation in ultradeep water. Inhibitors play a key role in the control of corrosion associated with the production and transport of crude oil and gas. The polarization resistance, inhibitor efficiency and corrosion current density was determined in deaerated 3% NaCl + Diesel + inhibitors saturated with CO2 at 50 °C. The

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Cramer, S. D., B. S. Covino, S. J. Bullard, G. R. Holcomb, G. McGill, and C. Cryer. "Atmospheric Corrosion in Coastal Environments." In CORROSION 1995. NACE International, 1995. https://doi.org/10.5006/c1995-95005.

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Abstract Arc-sprayed zinc coatings are being used as anodes in active cathodic protection systems for steel reinforced concrete bridges of historical and economic significance on the Oregon coast. Research was recently begun to determine the service life of the zinc coatings, the effect of operating and environmental variables on coating bond strength, and the corrosion performance of metals typically found in service equipment for cathodic protection systems and other utilities. Mass loss measurements are in progress at seven bridges and eight coastal areas to determine the effects of microcl

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Leballeur, Charles, Jean Vittonato, Nicolas Larché, and Hervé Marchebois. "Efficiency of Cathodic Protection of Stainless Steel in Confined Area - Further Understanding of the Protection Mechanism through Experimental Testing and Modeling." In CONFERENCE 2024. AMPP, 2024. https://doi.org/10.5006/c2024-20639.

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Abstract Cathodic protection (CP) of carbon steel has been extensively studied for structures exposed to the open sea. However, the knowledge and data available for carbon steel cannot be directly applied to stainless steels, especially in the case of confined surfaces that are prone to crevice corrosion. In the context of stainless steels, confined surfaces (such as the contact surfaces of fasteners or valves) are critical zones as crevice corrosion represents the primary failure mode for passive alloys in seawater. With CP, the local potential achieved in confinement areas is highly dependen

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Sato, Hiroyuki. "Extrapolation of Creep Curve and Creep Life Prediction From Secondary Creep by Evaluation of Strain Rate Change." In ASME 2010 Power Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/power2010-27336.

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New method of creep life prediction by Strain-Acceleration-Parameter, SAP, is presented. Sato has found that shapes of creep curves can be characterized by the SAP that reflects magnitude of strain-rate change in secondary creep [1–4]. The SAP values are defined at minimum creep rates, and show the shapes of a creep curve, that depends on stress and temperature. Reconstruction of creep curves by a combination of SAP and a minimum-creep rate is successfully performed, and the extrapolated curves agree well with experiment. The predicted life times also reasonably agree with that obtained by exp

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Sandström, Rolf, and Junjing He. "Error Estimates in Extrapolation of Creep Rupture Data: Applied to an Austenitic Stainless Steel." In ASME 2021 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2021. http://dx.doi.org/10.1115/pvp2021-61795.

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Abstract Precise time extrapolation of creep rupture data is a requirement for components operating at high temperatures. Although qualified models have been available for many years, there has been no way of quantifying the magnitude of the error in the results. To make an error analysis meaningful, requirements on the first and second derivatives are introduced, which are taken into account in the optimization of the model of the predicted creep rupture values. Formulae for the error are presented both for the case when the extrapolated values are interpolated from a master curve and when th

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Liao, Kang, Chunyu Lin, Yunchao Wei, Feng Li, Shangrong Yang, and Yao Zhao. "Towards Complete Scene and Regular Shape for Distortion Rectification by Curve-Aware Extrapolation." In 2021 IEEE/CVF International Conference on Computer Vision (ICCV). IEEE, 2021. http://dx.doi.org/10.1109/iccv48922.2021.01430.

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Reports on the topic "Curve extrapolation"

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Staack, G. DEVELOPMENT OF A HYDROGEN ISOTOPE EXTRAPOLATION CURVE FOR PLATINUM CATYLIZED ZEOLITE. Office of Scientific and Technical Information (OSTI), 2010. http://dx.doi.org/10.2172/983399.

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Brooks, Stephen. Extrapolation of Magnetic Fields from a Curved Surface. Office of Scientific and Technical Information (OSTI), 2014. http://dx.doi.org/10.2172/1895081.

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Thompson. L52114 Efficient use of Cathodic Polarization Criteria. Pipeline Research Council International, Inc. (PRCI), 2005. http://dx.doi.org/10.55274/r0011101.

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A series of long term polarization tests were performed to investigate efficient use of the 100mV polarization growth/decay for demonstrating CP effectiveness. Several conclusions were drawn. Absolute time limits for measuring polarization growth or decay could not be justified. Simple extrapolation of polarization growth or decay curves also could not be justified; future extrapolation needs to be mechanistically based. The application of CP can change the local environment at a steel surface including creating passivity. Redox reactions in soils complicate analysis of polarization data. For

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Joyce, J., and E. Hackett. Extension and extrapolation of J-R curves and their application to the low upper shelf toughness issue. Office of Scientific and Technical Information (OSTI), 1991. http://dx.doi.org/10.2172/5876140.

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Wang, Yanli, Peijun Hou, and T. Sham. An extrapolation method for strain ranges and hold times in developing the EPP+SMT creep-fatigue design curves for Alloy 617. Office of Scientific and Technical Information (OSTI), 2022. http://dx.doi.org/10.2172/1881102.

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