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Journal articles on the topic 'The theory of critical distances'

Author: Grafiati

Published: 28 June 2021

Last updated: 29 July 2025

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1

Taylor, D. "The theory of critical distances." Engineering Fracture Mechanics 75, no. 7 (2008): 1696–705. http://dx.doi.org/10.1016/j.engfracmech.2007.04.007.

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2

Taylor, David. "Microstructural Parameters in the Theory of Critical Distances." Materials Science Forum 567-568 (December 2007): 23–28. http://dx.doi.org/10.4028/www.scientific.net/msf.567-568.23.

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The work described below investigates, for the first time, the link between microstructural parameters such as grain size and the length constant L which is known as the critical distance. L is frequently used in the prediction of failure processes such as brittle fracture and fatigue, initiated at stress concentration features such as notches. Values of L were calculated using data from the literature on the effect of short cracks and notches in steels and ceramics. In some cases, simple relationships could be established between L and the grain size, or other microstructural features. Someti

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3

Taylor, David. "The Theory of Critical Distances: A link to micromechanisms." Theoretical and Applied Fracture Mechanics 90 (August 2017): 228–33. http://dx.doi.org/10.1016/j.tafmec.2017.05.018.

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4

Cicero, S., V. Madrazo, and I. A. Carrascal. "Estimation of Fracture Toughness by Testing Notched Fracture Specimens and Applying the Theory of Critical Distances." ISRN Materials Science 2012 (September 17, 2012): 1–8. http://dx.doi.org/10.5402/2012/689386.

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This paper applies a methodology that allows the fracture toughness of a given material to be estimated by testing notched fracture toughness specimens and applying the Theory of Critical Distances, which requires the elastic stress field at the notch tip to be determined by finite elements simulation. This methodology, which is not intended to substitute any standardised fracture characterisation procedure, constitutes an alternative in those situations where pre-cracking processes may be too time-consuming, too expensive or, simply, cannot be performed. It comprises testing two notched speci

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5

Hattori, Toshio, Muhammad Amiruddin Bin Ab Wahab, and Minoru Yamashita. "Low Cycle Fatigue Estimation Based on the Critical Distance Stress Theory." Advanced Materials Research 891-892 (March 2014): 1773–78. http://dx.doi.org/10.4028/www.scientific.net/amr.891-892.1773.

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Generally the critical distance stress theory was applied for the fatigue limit estimation of general structures using fatigue limit of smooth specimen (σw0), and threshold stress intensity factor range (Kth). In this paper we extended this method for the estimation of low cycle fatigue life too. In this method we define the critical distance (rc) on static strength conditions, which is calculated using ultimate tensile strength (σB) and fracture toughness (KIC), in addition to the critical distance on fatigue limit condition (rc). Then the critical distances of any low cycle fatigue condition

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6

Wahab, Muhammad Amiruddin Bin Ab, Niu Jie, Toshio Hattori, and Minoru Yamashita. "Fatigue Strength and Life Estimation Methods Using Critical Distance Stress Theory." Advanced Materials Research 694-697 (May 2013): 853–63. http://dx.doi.org/10.4028/www.scientific.net/amr.694-697.853.

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Generallythe critical distance stress theory was applied for the fatigue limitestimation of general structures. In thismethod, it needs only two parameters, fatiguelimit of smooth specimen (σw0), and threshold stress intensityfactor range (∆Kth). In this paper we extended this method for theestimation of low cycle fatigue lifetoo. In this improvement wedefine the critical distance (rc’) on static strength conditions,which is calculated using ultimate tensile strength (σB) andfracture toughness (KIC), in addition to the critical distance onfatigue limit condition (rc). Then the critical distanc

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7

Suknev, S. V. "Extending the theory of critical distances to quasi-brittle fracture." Theoretical and Applied Fracture Mechanics 114 (August 2021): 102996. http://dx.doi.org/10.1016/j.tafmec.2021.102996.

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8

Vargiu, Filippo, Derek Sweeney, Donato Firrao, Paolo Matteis, and David Taylor. "Implementation of the Theory of Critical Distances using mesh control." Theoretical and Applied Fracture Mechanics 92 (December 2017): 113–21. http://dx.doi.org/10.1016/j.tafmec.2017.05.019.

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9

Taylor, David. "The Theory of Critical Distances applied to multiscale toughening mechanisms." Engineering Fracture Mechanics 209 (March 2019): 392–403. http://dx.doi.org/10.1016/j.engfracmech.2019.02.012.

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10

Taylor, David. "Applications of the theory of critical distances in failure analysis." Engineering Failure Analysis 18, no. 2 (2011): 543–49. http://dx.doi.org/10.1016/j.engfailanal.2010.07.002.

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11

Berdibekov, A.T., V.M. Yurov, A.V. Dolya, and V.V. Gruzin. "THEORY OF CRITICAL DISTANCES AND THE THICKNESS OF THE SURFACE LAYER." Deutsche internationale Zeitschrift für zeitgenössische Wissenschaft 58 (June 19, 2023): 54–58. https://doi.org/10.5281/zenodo.8054559.

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The theory of critical distances is based on the strength of materials L, which is given by its strength properties KIc and σ0. We have shown that the thickness of the surface layer R(I) is equal to the nanocrack length Lnm. We have shown that there is a relationship between L and Lnm: L = 104 Lnm = 104 R(I) ≈ 10-5 М/ρ. Thus, a connection is established between the elastic characteristics of the metal and the parameters of its structure

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12

González, Pablo, Sergio Cicero, Borja Arroyo, and José Álvarez. "Environmentally Assisted Cracking Behavior of S420 and X80 Steels Containing U-notches at Two Different Cathodic Polarization Levels: An Approach from the Theory of Critical Distances." Metals 9, no. 5 (2019): 570. http://dx.doi.org/10.3390/met9050570.

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This paper analyzes, using the theory of critical distances, the environmentally assisted cracking behavior of two steels (S420 and API X80) subjected to two different aggressive environments. The propagation threshold for environmentally assisted cracking (i.e., the stress intensity factor above which crack propagation initiates) in cracked and notched specimens (KIEAC and KNIEAC) has been experimentally obtained under different environmental conditions. Cathodic polarization has been employed to generate the aggressive environments, at 1 and 5 mA/cm2, causing hydrogen embrittlement on the st

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13

CLEGG, R. E., K. DUAN, and A. J. MCLEOD. "The theory of critical distances and fatigue from notches in aluminium 6061." Fatigue & Fracture of Engineering Materials & Structures 35, no. 1 (2011): 13–21. http://dx.doi.org/10.1111/j.1460-2695.2011.01597.x.

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14

Cicero, S., V. Madrazo, and I. A. Carrascal. "Analysis of notch effect in PMMA using the Theory of Critical Distances." Engineering Fracture Mechanics 86 (May 2012): 56–72. http://dx.doi.org/10.1016/j.engfracmech.2012.02.015.

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15

Susmel, Luca. "The theory of critical distances: a review of its applications in fatigue." Engineering Fracture Mechanics 75, no. 7 (2008): 1706–24. http://dx.doi.org/10.1016/j.engfracmech.2006.12.004.

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16

Taylor, David. "Analysis of fatigue failures in components using the theory of critical distances." Engineering Failure Analysis 12, no. 6 (2005): 906–14. http://dx.doi.org/10.1016/j.engfailanal.2004.12.007.

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17

Tränkle, Sebastian. "Ohne Heimat." Deutsche Zeitschrift für Philosophie 72, no. 2 (2024): 258–69. http://dx.doi.org/10.1515/dzph-2024-0020.

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Abstract This essay reconstructs the relationship between critique and theory constitutive for Critical Theory. Based on Max Horkheimer’s 1937 program, the first part shows that “critical behaviour” must, on the one hand, seek proximity to social practice. On the other hand, such behaviour is dependent on the distance from its object that all “theoretical work” entails. Since the inception of a genuinely critical theory in the early works of Karl Marx, the proximity to practice goes hand in hand with the demand to work towards its change, implying a proximity to political movements. The second

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18

Mullahmetov, M. N., D. S. Lobanov, V. A. Melnikova, and A. S. Yankin. "ESTIMATING PARAMETERS OF PERMISSIBLE DEFECTS IN STRUCTURAL FIBERGLASS BASED ON THEORY OF CRITICAL DISTANCES." PNRPU Mechanics Bulletin, no. 4 (December 15, 2023): 77–86. http://dx.doi.org/10.15593/perm.mech/2023.4.08.

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In the process of manufacturing products from composite materials, many defects can occur: cracks, chips, scratches, dents, impact defects, air macro inclusions, and others. Such defects can significantly reduce both the static and fatigue resistance of structures. The purpose of this work is to determine the size of defects that do not affect the strength characteristics of products made of STEF composite material using the point and linear approaches of the theory of critical distances. In the course of the work, a series of tensile tests were carried out on flat specimens of STEF structural

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19

Justo, J., J. Castro, M. Miranda, D. Gatica, and S. Cicero. "The theory of critical distances applied to fracture of rocks with circular cavities." Theoretical and Applied Fracture Mechanics 121 (October 2022): 103530. http://dx.doi.org/10.1016/j.tafmec.2022.103530.

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20

Morgan, David, Simon Quinlan, and David Taylor. "Using the theory of critical distances to predict notch effects in fibre composites." Theoretical and Applied Fracture Mechanics 118 (April 2022): 103285. http://dx.doi.org/10.1016/j.tafmec.2022.103285.

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21

Kasiri, Saeid, Daniel J. Kelly, and David Taylor. "Can the theory of critical distances predict the failure of shape memory alloys?" Computer Methods in Biomechanics and Biomedical Engineering 14, no. 6 (2011): 491–96. http://dx.doi.org/10.1080/10255842.2010.482527.

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22

Zheng, X., H. Cui, X. Su, C. C. Engler-Pinto, and W. Wen. "Numerical modeling of fatigue crack propagation based on the theory of critical distances." Engineering Fracture Mechanics 114 (December 2013): 151–65. http://dx.doi.org/10.1016/j.engfracmech.2013.10.018.

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23

Taylor, D. "Predicting the fracture strength of ceramic materials using the theory of critical distances." Engineering Fracture Mechanics 71, no. 16-17 (2004): 2407–16. http://dx.doi.org/10.1016/j.engfracmech.2004.01.002.

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24

Righiniotis, Timothy D., Boulent M. Imam, and Marios K. Chryssanthopoulos. "Fatigue analysis of riveted railway bridge connections using the theory of critical distances." Engineering Structures 30, no. 10 (2008): 2707–15. http://dx.doi.org/10.1016/j.engstruct.2008.03.005.

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25

Castro, Jorge, Sergio Cicero, and César Sagaseta. "A Criterion for Brittle Failure of Rocks Using the Theory of Critical Distances." Rock Mechanics and Rock Engineering 49, no. 1 (2015): 63–77. http://dx.doi.org/10.1007/s00603-015-0728-8.

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26

Benedetti, M., and C. Santus. "Statistical properties of threshold and notch derived estimations of the critical distance according to the line method of the theory of critical distances." International Journal of Fatigue 137 (August 2020): 105656. http://dx.doi.org/10.1016/j.ijfatigue.2020.105656.

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27

Eriksson, Robert, Kjell Simonsson, Daniel Leidermark, and Johan Moverare. "Evaluation of notch effects in low cycle fatigue of alloy 718 using critical distances." MATEC Web of Conferences 165 (2018): 15001. http://dx.doi.org/10.1051/matecconf/201816515001.

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Gas turbine disks contain many notch-like features acting as stress raisers. The fatigue life based on the notch root stress may be overly conservative as the steep stress gradient in front of the notch may give rise to so-called notch support. In the current work, the theory of critical distances was applied to the prediction of the total fatigue life of low cycle fatigued, notched specimens made from alloy 718. The fatigue tests were performed at 450 °C and 550 °C. It was found that, for lives shorter than 5000–10000 cycles, the notched specimens had longer lives than would have been expecte

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28

Beck, R. Kelly. "Transport Distance and Debitage Assemblage Diversity: An Application of the Field Processing Model to Southern Utah Toolstone Procurement Sites." American Antiquity 73, no. 4 (2008): 759–80. http://dx.doi.org/10.1017/s0002731600047399.

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Understanding the decisions made at toolstone procurement localities is critical to understanding lithic production systems. However, lithic assemblages at procurement sites are typically voluminous, frequently overlapping, and always complex. This paper explores the influence of expected toolstone transport distance on procurement site assemblage variability using a central place theory inspired model from Human Behavioral Ecology. Debitage assemblage diversity is examined for 43 sites in two procurement contexts with different expected overall transport distances. Twenty-six of these sites a

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29

Toulmin, Llewellyn M., Charles J. Givans, and Deborah L. Steel. "The Impact of Intergovernmental Distance on Disaster Communications." International Journal of Mass Emergencies & Disasters 7, no. 2 (1989): 116–32. http://dx.doi.org/10.1177/028072708900700202.

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Previous research into disaster communications, while fairly extensive, has been limited primarily to sociological analysis and organizational theory. This body of research, however, has not explored disaster communications in a federal, international or other multi-level governmental response system. This paper expands upon existing research to present a new theory of intergovernmental disaster communications. The theory is based on the concept of intergovernmental distance, which refers to distance in terms of differing procedures and approaches used by organizations in different functional

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30

AKAMA, Makoto, Hiroyuki MATSUDA, Hisayo DOI, and Masahiro TSUJIE. "F405 Fatigue crack initiation life prediction of rails using theory of critical distance and critical plane approach." Proceedings of The Computational Mechanics Conference 2011.24 (2011): _F—54_—_F—57_. http://dx.doi.org/10.1299/jsmecmd.2011.24._f-54_.

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31

Hattori, Toshio, and Minoru Yamashita. "OS14-3-3 Fretting Fatigue Life Estimations Based on Critical Distance Theory." Abstracts of ATEM : International Conference on Advanced Technology in Experimental Mechanics : Asian Conference on Experimental Mechanics 2011.10 (2011): _OS14–3–3—. http://dx.doi.org/10.1299/jsmeatem.2011.10._os14-3-3-.

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32

Taylor, David, Saeid Kasiri, and Emma Brazel. "The theory of critical distances applied to problems in fracture and fatigue of bone." Frattura ed Integrità Strutturale 3, no. 10 (2009): 12–20. http://dx.doi.org/10.3221/igf-esis.10.02.

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33

Schwartzkopff, Adam K., Nouné S. Melkoumian, and Chaoshui Xu. "Fracture mechanics approximation to predict the breakdown pressure using the theory of critical distances." International Journal of Rock Mechanics and Mining Sciences 95 (May 2017): 48–61. http://dx.doi.org/10.1016/j.ijrmms.2017.03.006.

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34

Gallo, Pasquale, Yabin Yan, Takashi Sumigawa, and Takayuki Kitamura. "Fracture Behavior of Nanoscale Notched Silicon Beams Investigated by the Theory of Critical Distances." Advanced Theory and Simulations 1, no. 1 (2017): 1700006. http://dx.doi.org/10.1002/adts.201700006.

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35

Sánchez, Marcos, Sergio Cicero, Borja Arroyo, and José Alberto Álvarez. "Coupling Finite Element Analysis and the Theory of Critical Distances to Estimate Critical Loads in Al6060-T66 Tubular Beams Containing Notches." Metals 10, no. 10 (2020): 1395. http://dx.doi.org/10.3390/met10101395.

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This paper validates a methodology for the estimation of critical loads in tubular beams containing notch-type defects. The methodology is particularized for the case of Al6060-T66 tubular cantilever beams containing U-shaped notches. It consists in obtaining the stress field at the notch tip using finite element analysis (FEA) and the subsequent application of the theory of critical distances (TCD) to derive the corresponding critical load (or load-bearing capacity). The results demonstrate that this methodology provides satisfactory predictions of fracture loads.

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36

Susmel, L., and H. Askes. "Material Length Scales in Fracture Analysis: From Gradient Elasticity to the Theory of Critical Distances." Computational Technology Reviews 6 (September 4, 2012): 63–80. http://dx.doi.org/10.4203/ctr.6.3.

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37

Justo, J., J. Castro, S. Cicero, M. A. Sánchez-Carro, and R. Husillos. "Notch effect on the fracture of several rocks: Application of the Theory of Critical Distances." Theoretical and Applied Fracture Mechanics 90 (August 2017): 251–58. http://dx.doi.org/10.1016/j.tafmec.2017.05.025.

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38

Pelekis, Iason, and Luca Susmel. "The Theory of Critical Distances to estimate static and dynamic strength of notched plain concrete." Procedia Structural Integrity 2 (2016): 2006–13. http://dx.doi.org/10.1016/j.prostr.2016.06.252.

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39

Cicero, S., V. Madrazo, I. A. Carrascal, and R. Cicero. "Assessment of notched structural components using Failure Assessment Diagrams and the Theory of Critical Distances." Engineering Fracture Mechanics 78, no. 16 (2011): 2809–25. http://dx.doi.org/10.1016/j.engfracmech.2011.08.009.

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40

Castro, F. C., J. A. Araújo, and N. Zouain. "On the application of multiaxial high-cycle fatigue criteria using the theory of critical distances." Engineering Fracture Mechanics 76, no. 4 (2009): 512–24. http://dx.doi.org/10.1016/j.engfracmech.2008.10.014.

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41

Schmidt, Jonas, Maeve O'Neill, Jan-Henning Dirks, and David Taylor. "An investigation of crack propagation in an insect wing using the theory of critical distances." Engineering Fracture Mechanics 232 (June 2020): 107052. http://dx.doi.org/10.1016/j.engfracmech.2020.107052.

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42

Cicero, Sergio, Juan Fuentes, Isabela Procopio, Virginia Madrazo, and Pablo González. "Critical Distance Default Values for Structural Steels and a Simple Formulation to Estimate the Apparent Fracture Toughness in U-Notched Conditions." Metals 8, no. 11 (2018): 871. http://dx.doi.org/10.3390/met8110871.

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The structural integrity assessment of components containing notch-type defects has been the subject of extensive research in the last few decades. The assumption that notches behave as cracks is generally too conservative, making it necessary to develop assessment methodologies that consider the specific nature of notches, providing accurate safe predictions of failure loads or defect sizes. Among the different theories or models that have been developed to address this issue the Theory of Critical Distances (TCD) is one of the most widely applied and extended. This theory is actually a group

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43

Camus, Patrick P. "Field-assisted ionization theory for microscopists." Proceedings, annual meeting, Electron Microscopy Society of America 52 (1994): 820–21. http://dx.doi.org/10.1017/s0424820100171833.

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The theory of field ion emission is the study of electron tunneling probability enhanced by the application of a high electric field. At subnanometer distances and kilovolt potentials, the probability of tunneling of electrons increases markedly. Field ionization of gas atoms produce atomic resolution images of the surface of the specimen, while field evaporation of surface atoms sections the specimen. Details of emission theory may be found in monographs.Field ionization (FI) is the phenomena whereby an electric field assists in the ionization of gas atoms via tunneling. The tunneling probabi

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44

Еськов, Valeriy Eskov, Дудин, N. Dudin, Никитина, and Yu Nikitina. "Chaotic Dynamics of the Plasma Hemostasis Prameters in Critical Limb Ischemia Syndrome." Journal of New Medical Technologies 20, no. 4 (2013): 12–16. http://dx.doi.org/10.12737/2718.

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Active development of medical diagnostic base of instrumental studies demands the introduction of a new methodological support. Now it can be done on the basis of system analysis and synthesis of information to identify the significance of clinical diagnostic criteria for quasi-stationary states of the hemostatic system. Such a task is most successfully solved by the new trend of system analysis and synthesis, management and processing of information in evidence-based medicine: identification of quasi-attractors parameters of the human body state vector in terms of the theory of chaos and self

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45

Negru, Radu, Liviu Marsavina, Hannelore Filipescu, and Cristiana Caplescu. "Application of Two Methods for Notch Fatigue Life Prediction." Key Engineering Materials 488-489 (September 2011): 654–57. http://dx.doi.org/10.4028/www.scientific.net/kem.488-489.654.

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The aim of this paper is the application of two methods for notch fatigue life assessment, methods which are based on finite element analysis: the theory of critical distances and the volumetric method. Firstly, un-notched and notched specimens (for three different geometries) were tested in tension under constant-amplitude loading. The use of theory of critical distances (TCD) to predict the notch fatigue life involves the determination of the material characteristic length L based on experimental results obtained for the un-notched and one type of notched specimens. For the others notched ge

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46

Terlan, Bürgehan, Lev Akselrud, Alexey I. Baranov, Horst Borrmann, and Yuri Grin. "On the transferability of electron density in binary vanadium borides VB, V3B4 and VB2." Acta Crystallographica Section B Structural Science, Crystal Engineering and Materials 71, no. 6 (2015): 777–87. http://dx.doi.org/10.1107/s2052520615018363.

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Binary vanadium borides are suitable model systems for a systematic analysis of the transferability concept in intermetallic compounds due to chemical intergrowth in their crystal structures. In order to underline this structural relationship, topological properties of the electron density in VB, V3B4 and VB2 reconstructed from high-resolution single-crystal X-ray diffraction data as well as derived from quantum chemical calculations, are analysed in terms of Bader's Quantum Theory of Atoms in Molecules [Bader (1990). Atoms in Molecules: A Quantum Theory, 1st ed. Oxford: Clarendon Press]. The

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47

Taylor, David. "On the application of the Theory of Critical Distances for prediction of fracture in fibre composites." Frattura ed Integrità Strutturale 4, no. 11 (2009): 3–9. http://dx.doi.org/10.3221/igf-esis.11.01.

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48

Srivatsan, T. S. "A Review of: “The Theory of Critical Distances: A New Perspective in Fracture Mechanics, David Taylor”." Materials and Manufacturing Processes 23, no. 4 (2008): 448. http://dx.doi.org/10.1080/10426910801940417.

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49

Yin, T., A. Tyas, O. Plekhov, A. Terekhina, and L. Susmel. "A novel reformulation of the Theory of Critical Distances to design notched metals against dynamic loading." Materials & Design 69 (March 2015): 197–212. http://dx.doi.org/10.1016/j.matdes.2014.12.026.

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50

Suknev, S. V. "Application of the Theory of Critical Distances to quasi-brittle fracture with a developed process zone." Procedia Structural Integrity 28 (2020): 903–9. http://dx.doi.org/10.1016/j.prostr.2020.11.061.

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