Academic literature on the topic 'R-Curves'

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Journal articles on the topic "R-Curves"

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Farnsworth, David L. "Axes for symmetric convex curves." Mathematical Gazette 102, no. 553 (2018): 23–30. http://dx.doi.org/10.1017/mag.2018.4.

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Curves are given in polar coordinates (r, θ)by equations of the form r = f (θ), where for f (θ) > 0 all θ. Consider curves which are symmetric about the origin O, so that, f(θ + π) = f (θ) for all θ. For such a curve, its interior is the set {(r, θ) : 0 ≤ r ≤ f (θ)}. Further, assume that the curve is convex. Recall that a closed curve is convex if a line segment between any two of its points has no points exterior to the curve [1], [2, pp. 198-203]. We call these curves M-curves, because the curves are fundamental objects in Minkowski geometry, where they are called Minkowski circles or sim
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Lisovik, L. P., D. A. Koval’, and S. V. Martines. "R-transformers and fractal curves." Cybernetics and Systems Analysis 35, no. 3 (1999): 424–32. http://dx.doi.org/10.1007/bf02733431.

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Zhu, Xian-Kui, and Brian N. Leis. "Application of Constraint Corrected J-R Curves to Fracture Analysis of Pipelines." Journal of Pressure Vessel Technology 128, no. 4 (2005): 581–89. http://dx.doi.org/10.1115/1.2349571.

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Fracture properties of an API X80 pipeline steel have been developed using a set of single edge notched bend (SENB) and single edge notched tension (SENT) specimens with shallow and deep cracks to generate different crack-tip constraint levels. The test data show that the J-R curves for the X80 pipeline steel are strongly constraint dependent. To facilitate transfer of the experimental J-R curves to those for actual cracked components, like flawed pipeline, constraint corrected J-R curves are developed. The two-parameter J-A2 formulation is adopted to quantify constraint effect on the crack-ti
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Aldea, Nicoleta, and Gabriela Câmpean. "Geodesic Curves on $${\mathbb{R}}$$ R -Complex Finsler Spaces." Results in Mathematics 70, no. 1-2 (2015): 15–29. http://dx.doi.org/10.1007/s00025-015-0460-4.

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Jonsson, M., and J. Wästlund. "Partitions of $R^3$ into curves." MATHEMATICA SCANDINAVICA 83, no. 2 (1998): 192. http://dx.doi.org/10.7146/math.scand.a-13850.

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Hern�ndez, R. "Varieties of cuspidal curves in ? r." Mathematische Annalen 285, no. 4 (1989): 593–99. http://dx.doi.org/10.1007/bf01452049.

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Guha, Rajarshi, Debojyoti Dutta, David J. Wild, and Ting Chen. "Counting Clusters Using R-NN Curves." Journal of Chemical Information and Modeling 47, no. 4 (2007): 1308–18. http://dx.doi.org/10.1021/ci600541f.

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Zavada, V. P. "Construction of R-curves for ceramics." Strength of Materials 24, no. 1 (1992): 44–51. http://dx.doi.org/10.1007/bf00777224.

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Farnsworth, David L. "r-invariant curves for linear regression." Journal of Applied Statistics 19, no. 3 (1992): 299–303. http://dx.doi.org/10.1080/02664769200000026.

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Boulbot, A., Abdelhakim Chillali, and A. Mouhib. "Elliptic curves over the ring R." Boletim da Sociedade Paranaense de Matemática 38, no. 3 (2019): 193–201. http://dx.doi.org/10.5269/bspm.v38i3.39868.

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Let Fq be a finite field of q elements, where q is a power of a prime number p greater than or equal to 5. In this paper, we study the elliptic curve denoted Ea,b(Fq[e]) over the ring Fq[e], where e2 = e and (a,b) ∈ (Fq[e])2. In a first time, we study the arithmetic of this ring. In addition, using the Weierstrass equation, we define the elliptic curve Ea,b(Fq[e]) and we will show that Eπ0(a),π0(b)(Fq) and Eπ1(a),π1(b)(Fq) are two elliptic curves over the field Fq, where π0 and π1 are respectively the canonical projection and the sum projection of coordinates of X ∈Fq[e]. Precisely, we give a bijec
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Dissertations / Theses on the topic "R-Curves"

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Torchiani, Carolin [Verfasser]. "Enumerative geometry of rational and elliptic tropical curves in R m / Carolin Torchiani." München : Verlag Dr. Hut, 2014. http://d-nb.info/1055863834/34.

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Karastamatis, Thomas. "Measuring the R-curves of lead zirconate titanate (PZT) from a surface crack in flexure (SCF)." Thesis, Georgia Institute of Technology, 2000. http://hdl.handle.net/1853/16713.

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Lexen, Ernst R. [Verfasser], and Peter H. [Akademischer Betreuer] Hauschildt. "Parameter sensitivity of synthetic spectra and light curves of Type Ia supernovae / Ernst R. Lexen. Betreuer: Peter H. Hauschildt." Hamburg : Staats- und Universitätsbibliothek Hamburg, 2014. http://d-nb.info/1048626199/34.

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田中, 啓介, Keisuke TANAKA, 義明 秋庭 та ін. "多孔質セラミックスの切欠き破壊強度のR曲線法による評価". 日本機械学会, 2003. http://hdl.handle.net/2237/9143.

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Khor, WeeLiam. "Crack tip opening displacement (CTOD) in single edge notched bend (SEN(B))." Thesis, Brunel University, 2018. http://bura.brunel.ac.uk/handle/2438/16198.

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This thesis investigates the quantity Crack Tip Opening Displacement (CTOD) as a means to assess fracture toughness when measured in the Single Edge Notched Bend (SENB) specimen setup. A particular objective is to assess the effectiveness of the test when used for high strain-hardening materials (e.g. stainless steels). This has been an increasing concern as the current available methods were generally designed for lower strain hardening structural steel. Experimental work on CTOD tests included silicone casting of the crack, and constant displacement tests were also performed. The silicone ca
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Varadarajan, Ravikumar. "On the Nature of Static and Cyclic Fracture Resistance of Ultra High Molecular Weight Polyethylenes Used in Total Joint Replacements." Case Western Reserve University School of Graduate Studies / OhioLINK, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=case1164903681.

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Bonazzi, Luís Henrique Camargo. "Comportamento em fadiga da liga Al-Li AA 2050." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/18/18158/tde-17112017-172453/.

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As novas ligas de alumínio que contém lítio são atraentes devido à sua baixa densidade, alto módulo elástico, elevada resistência mecânica e por terem boa resistência à corrosão em comparação com ligas similares que não contém lítio. A degradação do material devido à fadiga e corrosão são os dois principais fatores que contribuem para o envelhecimento de uma aeronave. O objetivo deste trabalho é estudar a resistência à fadiga de uma nova liga de Al-Li, denominada de AA 2050-T84, considerando os estágios de nucleação e de propagação. No primeiro caso são avaliados o efeito da variação do concen
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Dotta, Fernando. "Previsão da pressão de colapso em dutos para transporte de gás e petróleo contendo defeitos planares incorporando curvas de resistência J-R: uma abordagem micromecânica utilizando critérios locais." Universidade de São Paulo, 2006. http://www.teses.usp.br/teses/disponiveis/3/3135/tde-27112006-172735/.

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Este estudo estende a abordagem micromecânica baseada em células computacionais e a abordagem baseada em deformação utilizando o critério de CTOA para descrever extensão dúctil de trincas longitudinais em dutos de aços de elevada tenacidade sob alta pressão. Ensaios laboratoriais realizados em aços API 5L X60 e X70 utilizando corpos-de-prova padronizados de fratura com trinca profunda, produzem os resultados necessários para medir as curvas de resistência à propagação de trincas e calibrar os parâmetros dos modelos de Gurson e CTOA para estes materiais. O foco central deste trabalho é a aplica
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Rádsetoulal, Milan. "Hodnocení lomového chování svarových spojů používaných v energetickém průmyslu." Master's thesis, Vysoké učení technické v Brně. Fakulta strojního inženýrství, 2021. http://www.nusl.cz/ntk/nusl-442748.

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This thesis is focused on assessment of fracture behaviour of heterogeneous welded joint. The goal is to determine fracture behaviour at the interface of ferritic base metal and austenitic weld metal at temperature of 255°C. This kind of weld is widely used at energy industry. Fracture toughness was evaluated using CT specimens with size 0,5T in order to determine the initiation values of stable crack propagation. Fracture behaviour of the weld is correlated with results of metallography and fractography analysis. Both light and scanning electron microscopy is used for fractography analysis. A
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Francisco, Julio Cesar de Souza. "Resistência à propagação dúctil de trincas em aço API 5L X70 com teor de nióbio modificado." Universidade de São Paulo, 2016. http://www.teses.usp.br/teses/disponiveis/18/18150/tde-30032016-110448/.

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Aplicações de alto desempenho, como as de dutos utilizados no transporte de derivados de petróleo, exigem materiais com uma combinação excepcional de propriedades mecânicas, dentre as quais, elevada resistência mecânica, tenacidade e resistência à fadiga. O aço API 5L X70 com adição de nióbio apresenta-se, quando comparado com o API 5L X70 padrão, como sendo uma opção para a melhora em seu processo de fabricação, sendo sua composição química diferenciada, devido a um maior teor de nióbio. A Arcelor Mittal Tubarão tem mostrado interesse em fabricar aços API X70/X80, sem a adição de V e com adiç
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Books on the topic "R-Curves"

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Mattei, Janet A. R Cygni light curves: 1900-2000. American Association of Variable Star Observers, 2002.

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Mattei, Janet A. R Scuti light curves: 1991-1996. American Association of Variable Star Observers, 1996.

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Mattei, Janet A. R Leonis light curves: 1905-2000. American Association of Variable Star Observers, 2002.

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Mattei, Janet A. R Scuti light curves: 1996-2000. American Association of Variable Star Observers, 2002.

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Mattei, Janet A. R Coronae Borealis light curves: 1991-1995. American Association of Variable Star Observers, 1996.

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Mattei, Janet A. R Coronae Borealis light curves: 1996-2000. American Association of Variable Star Observers, 2002.

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Orange, Thomas W. Method and models for R-Curve instability calculations. National Aeronautics and Space Administration, 1988.

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Orange, Thomas W. Method and models for R-Curve instability calculations. National Aeronautics and Space Administration, 1988.

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Orange, Thomas W. Method and models for R-Curve instability calculations. National Aeronautics and Space Administration, 1988.

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Hiser, A. L. Size effects on J-R curves for a 302-B plate. Division of Engineering, Office of Nuclear Regulatory Research, U.S. Nuclear Regulatory Commission, 1989.

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Book chapters on the topic "R-Curves"

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Dineen, Seán. "Curves in $${\mathbb {R}}^n$$." In Springer Undergraduate Mathematics Series. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6419-7_5.

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Haverkort, Herman, and Freek van Walderveen. "Four-Dimensional Hilbert Curves for R-Trees." In 2009 Proceedings of the Eleventh Workshop on Algorithm Engineering and Experiments (ALENEX). Society for Industrial and Applied Mathematics, 2009. http://dx.doi.org/10.1137/1.9781611972894.7.

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Dineen, Seán. "Geometry of Curves in $${\mathbb R}^3$$." In Springer Undergraduate Mathematics Series. Springer London, 2014. http://dx.doi.org/10.1007/978-1-4471-6419-7_8.

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Jacobsen, T. K., B. F. Sørensen, and E. K. Gamstedt. "Modelling of R-Curves from Measured Bridging Laws." In IUTAM Symposium on Analytical and Computational Fracture Mechanics of Non-Homogeneous Materials. Springer Netherlands, 2002. http://dx.doi.org/10.1007/978-94-017-0081-8_50.

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Blauel, J. G. "Ductile Fracture Material Characterization by J-R Curves." In Elastic-Plastic Fracture Mechanics. Springer Netherlands, 1985. http://dx.doi.org/10.1007/978-94-009-5380-2_5.

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Hellmann, D., and K. H. Schwalbe. "On the Experimental Determination of CTOD Based R-Curves." In The Crack Tip Opening Displacement in Elastic-Plastic Fracture Mechanics. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/978-3-642-82818-8_6.

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Coles, Andrew. "MIDAS Support and Resistance (S/R) Curves and Day Trading." In MIDAS Technical Analysis. John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118531877.ch3.

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Capozziello, Salvatore. "Recovering Flat Rotation Curves and Galactic Dynamics From f(R)-Gravity." In Astrophysics and Space Science Proceedings. Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02063-1_1.

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Coles, Andrew. "Appendix B: MetaStock Code for the Standard MIDAS S/R Curves." In MIDAS Technical Analysis. John Wiley & Sons, Inc., 2012. http://dx.doi.org/10.1002/9781118531877.app2.

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Basu, Saugata, Raghavan Dhandapani, and Richard Pollack. "On the Realizable Weaving Patterns of Polynomial Curves in $\mathbb R^3$." In Graph Drawing. Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/978-3-540-31843-9_5.

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Conference papers on the topic "R-Curves"

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Bouvet, Michel. "R O C curves and deflection criterion." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268481.

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Zhu, Xian-Kui, and Poh-Sang Lam. "Deformation Versus Modified J-Integral Resistance Curves for Ductile Materials." In ASME 2012 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/pvp2012-78729.

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The J-integral resistance curve (or J-R curve) has been widely used as material property in fracture mechanics methods for structural integrity assessment. ASTM E1820 provides the standard fracture toughness test methods to measure JIc and J-R curves. The conventional J-R curve utilizes the J-integral parameter proposed by Rice [1] based on the deformation theory of plasticity. Due to crack-tip constraint effect, J-R curves of a material depend on specimen size, geometry type and crack length. In order to obtain size-independent resistance curves, Ernst [11] introduced a modified J-integral or
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Zhu, Xian-Kui, and Brian N. Leis. "Application of Constraint Corrected J-R Curves to Fracture Analysis of Pipelines." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71202.

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Fracture properties of API X80 pipeline steel have been developed using a set of single edge notched bend (SENB) and single edge notched tension (SENT) specimens with shallow and deep cracks to generate different crack-tip constraint levels. The test data show that the J-R curves for X80 pipeline steel are strongly constraint dependent. To facilitate transfer of the experimental J-R curves to those for actual cracked components, like flawed pipeline, constraint corrected J-R curves are developed. The two-parameter J-A2 formulation is adopted to quantify constraint effect on the crack-tip field
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Yang, Shu, and Andrew Braham. "The Investigation of R-Curves of Asphalt Concrete." In 2013 Airfield & Highway Pavement Conference. American Society of Civil Engineers, 2013. http://dx.doi.org/10.1061/9780784413005.089.

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Zhu, X. K., Y. J. Chao, and P. S. Lam. "Determination of J-R Curves for A285 Carbon Steel Using Normalization Method." In ASME 2006 Pressure Vessels and Piping/ICPVT-11 Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/pvp2006-icpvt-11-93209.

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The normalization method is adopted and extended in this paper to develop J-R curves for standard and nonstandard specimens directly from load versus load-line displacement test data without the need for online crack length measurement. A set of single edge notched bend (SENB) specimens with different crack lengths for an A285 carbon steel are tested according to the guideline of ASTM standard E1820, and the ability of normalization method is then demonstrated in determination of crack-tip constraint-dependent J-R curves for the SENB specimens. The results show that the normalization method ca
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Tandon, Samarth, Ming Gao, Ravi Krishnamurthy, Richard Kania, and Gabriela Rosca. "Estimating J-R Curve From CVN Upper Shelf Energy and its Application." In 2016 11th International Pipeline Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/ipc2016-64618.

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Accuracy in predictions of burst pressures for cracks in pipelines has significant impact on the pipeline integrity management decisions. One of the fracture mechanics models used for failure pressure prediction is API 579 Level 3 FAD ductile tearing instability analysis that requires J-R curves, i.e., crack resistance curves, for the assessment. However, J-R curves are usually unavailable for most pipelines. To overcome this technical barrier, efforts have been made to estimate the J-R curve indirectly from commonly available toughness data, such as the Charpy V-notched Impact Energy CVN valu
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Olson, Richard, and Ben Thornton. "Semi-Closed-Form Displacement Equations for Calculating J-R Curves From Pipe Fracture Experiments." In ASME 2015 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/pvp2015-45571.

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The equations to generate a J-R curve from a four-point bend test on circumferentially cracked pipe have been known for many years. Given the experimental pipe load-displacement record and crack growth, the only impediment to routinely calculating pipe J-R curves is the requirement to know the non-cracked pipe elastic and plastic displacements. Traditionally, finite element analyses are used to find these displacements. This paper presents a semi-closed-form solution for the total (elastic plus plastic) non-cracked pipe displacements that eliminates the need to perform finite element analyses
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Lam, P. S., Y. J. Chao, X. K. Zhu, Y. Kim, and R. L. Sindelar. "Determination of Constraint-Modified J-R Curves for Carbon Steel Storage Tanks." In ASME 2002 Pressure Vessels and Piping Conference. ASMEDC, 2002. http://dx.doi.org/10.1115/pvp2002-1116.

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Mechanical testing of A285 carbon steel, a storage tank material, was performed to develop fracture properties based on the constraint theory of fracture mechanics. A series of single edge-notched bend (SENB) specimen designs with various levels of crack tip constraint were used. The variation of crack tip constraint was achieved by changing the ratio of the initial crack length to the specimen depth. The test data show that the J-R curves are specimen-design-dependent, which is known as the constraint effect. A two-parameter fracture methodology is adopted to construct a constraint-modified J
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Hojo, Kiminobu, Kazutoshi Ohoto, and Itaru Muroya. "J Resistance Curve Estimation of Inhomogeneous CT Specimen." In 10th International Conference on Nuclear Engineering. ASMEDC, 2002. http://dx.doi.org/10.1115/icone10-22047.

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In order to obtain the fracture toughness curve of inhomogeneous CT specimens, a simplified J-R curve estimation method has been proposed. To verify the applicability of this method, the fracture toughness test and the finite element analysis has been conducted. In overmatching case (mismatch ratio M = 2.2), the conventional ASTM standard’s J-R curve exceeded the J-R curve from the FE analysis in the plane strain condition by over 20%. On the other hand, the simplified J-R curve was located between J-R curves from the FE analyses in plane strain and plane stress condition. In undermatching cas
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Zhu, Xi K., B. N. Leis, G. Shen, and W. R. Tyson. "Experimental Determination of Constraint Dependent J-R Curves for X80 Pipeline Steel Using Normalization Method." In ASME 2006 International Mechanical Engineering Congress and Exposition. ASMEDC, 2006. http://dx.doi.org/10.1115/imece2006-13180.

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The normalization method is adopted for standard specimens and extended for nonstandard specimens in this paper to develop J-R curves for X80 pipeline steel directly from load versus load-line displacement records without the need of crack length measurement. Standard deep cracked specimens usually contain high crack-tip constraint, while nonstandard shallow cracked specimens involve low crack-tip constraint. To examine constraint effect on fracture toughness, six single-edge notched bend (SENB) specimens with different crack lengths for an X80 pipeline steel are tested according to ASTM stand
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Reports on the topic "R-Curves"

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Eason, E. D., and E. E. Nelson. Improved model for predicting J-R curves from charpy data: Final report. Office of Scientific and Technical Information (OSTI), 1989. http://dx.doi.org/10.2172/6301451.

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Grutzik, Scott Joseph, Kevin Strong, and Steve Xunhu Dai. Investigation of R-Curve Behavior in Glass Ceramic Materials. Office of Scientific and Technical Information (OSTI), 2019. http://dx.doi.org/10.2172/1568986.

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Mangin, Christophe. R-Curve Behavior for Silicon Carbide Whisker Reinforced Aluminum Oxide Composites. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada233958.

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Clowers, Logan N., Alberto Esteban Linares, and Xiang Chen. Technical Manual for Automated J-R Curve Analysis Program Based on the ASTM E1820-18 Normalization Method. Office of Scientific and Technical Information (OSTI), 2018. http://dx.doi.org/10.2172/1484983.

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Singh, J. P., C. Y. Chu, C. Murphy, and D. Singh. Microstructure / mechanical-property relationships and R-curve behavior in Si{sub 3}N{sub 4}/Si{sub 3}N{sub 4}(w) composites. Office of Scientific and Technical Information (OSTI), 1992. http://dx.doi.org/10.2172/10185016.

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