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Wolters-Noordhoff Scientific Publications Ltd., Groningen (English edition of Strength of Materials (1964, Iwanami Shoten, Tokyo)."},{"key":"5","unstructured":"5) Kanninen, M.F. and Popelar, C.H. (1985) Advanced Fracture Mechanics (Oxford Engineering Science Series 15). Oxford University Press, New York, NY."},{"key":"6","doi-asserted-by":"crossref","unstructured":"6) Irwin, G.R. (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. <b>24<\/b>, 361\u2013364.","DOI":"10.1115\/1.4011547"},{"key":"7","doi-asserted-by":"crossref","unstructured":"7) Rice, J.R. (1968) A path independent integral and approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. <b>35<\/b>, 379\u2013386.","DOI":"10.1115\/1.3601206"},{"key":"8","doi-asserted-by":"crossref","unstructured":"8) Paris, P. and Erdogan, F. (1963) A critical analysis of crack propagation laws. J. Basic Eng. <b>85<\/b>, 528\u2013534.","DOI":"10.1115\/1.3656900"},{"key":"9","unstructured":"9) Taira, S. (1960) Lifetime of structures subjected to varying load and temperature. <i>In<\/i> Creep in Structures (ed. Hoff, N.J.). IUTAM (International Union of Theoretical and Applied Mechanics) Symposia. Springer, Berlin, Heidelberg, pp. 96\u2013124."},{"key":"10","unstructured":"10) Lemaitre, J. and Plumtree, A. (1977) Application of damage concepts to predict creep damage failures. J. Eng. Mater. Technol. <b>101<\/b>, 284\u2013292."},{"key":"11","unstructured":"11) ASTM International (2019) Standard test method for measurement of creep crack growth times in metals (ASTM E1457-19e1)."},{"key":"12","unstructured":"12) International Organization for Standardization (2007) Code of practice for creep\/fatigue testing of cracked components (ISO\/TTA 5:2007)."},{"key":"13","doi-asserted-by":"crossref","unstructured":"13) Yokobori, A.T. Jr., Sugiura, R., Ohmi, T. and Ainsworth, R. (2014) A review of time-dependent fracture life law (or model) based on a proposed multi-scale analysis. Strength Fract. Complex. <b>8<\/b>, 205\u2013218.","DOI":"10.3233\/SFC-150170"},{"key":"14","doi-asserted-by":"crossref","unstructured":"14) Yokobori, A.T. Jr., Ohmi, T., Murakawa, T., Nemoto, T., Uesugi, T. and Sugiura, R. (2011) The application of the analysis of potential driven particle diffusion to the strength of materials. Strength, Fracture and Complexity <b>7<\/b>, 215\u2013233.","DOI":"10.3233\/SFC-2011-0140"},{"key":"15","doi-asserted-by":"crossref","unstructured":"15) Yokobori, T., Yokobori, A.T. Jr. and Kamei, A. (1975) Dislocation dynamics theory for fatigue crack growth A. Int. J. Fract. <b>11<\/b>, 781\u2013788.","DOI":"10.1007\/BF00012896"},{"key":"16","unstructured":"16) Yokobori, T., Konosu, S. and Yokobori, A.T., Jr. (1977) Micro and macro fracture mechanics approach to brittle fracture and fatigue crack growth. <i>In<\/i> Advances in Research on the Strength and Fracture of Materials. Pergamon Press, New York, NY, pp. 665\u2013682."},{"key":"17","doi-asserted-by":"crossref","unstructured":"17) Yokobori, A.T. Jr., Owa, M., Ichiki, M., Satoh, T., Ohtomo, Y., Satoh, Y. (2006) The analysis and diagnosis of unstable behavior of the blood vessel wall with an aneurysm based on noise science. J. Atheroscler. Thromb. <b>13<\/b>, 163\u2013174.","DOI":"10.5551\/jat.13.163"},{"key":"18","unstructured":"18) Yokobori, T. (1979) A critical evaluation of mathematical equations for fatigue crack growth with special reference to ferritic grain size and monotonic yield strength dependence. <i>In<\/i> Fatigue Mechanisms (ed. Fong, J.). ASTM International, West Conshohocken, PA, pp. 683\u2013706."},{"key":"19","doi-asserted-by":"crossref","unstructured":"19) Gerberich, W.W. and Moody, N. (1979) A review of fatigue fracture topology effects on threshold and growth mechanisms. <i>In<\/i> Fatigue Mechanisms (ed. Fong, J.). ASTM International, West Conshohocken, PA, pp. 292\u2013341.","DOI":"10.1520\/STP35897S"},{"key":"20","doi-asserted-by":"crossref","unstructured":"20) Tanaka, K. (1979) A correlation of \u0394K<i><sub>th<\/sub><\/i>-value of the exponent, m, in the equation of fatigue crack growth for various steels. Int. J. Fract. <b>15<\/b>, 57\u201368.","DOI":"10.1007\/BF00115909"},{"key":"21","doi-asserted-by":"crossref","unstructured":"21) Tomkins, B. (1980) Micro mechanisms of fatigue crack growth at high stress. Met. Sci. <b>14<\/b>, 408\u2013417.","DOI":"10.1179\/030634580790441178"},{"key":"22","doi-asserted-by":"crossref","unstructured":"22) Laird, C. and Smith, G.C. (1962) Crack propagation in high stress fatigue. Philos. Mag. <b>7<\/b>, 847\u2013857.","DOI":"10.1080\/14786436208212674"},{"key":"23","unstructured":"23) Head, A.K. (1972) Dislocation group dynamics. Similarity solutions of the n-body problem. Philos. Mag. <b>26<\/b>, 43\u201353."},{"key":"24","doi-asserted-by":"crossref","unstructured":"24) Hahn, G.T. (1962) A model for yielding with special reference to the yield-point phenomenon of iron and related bcc metals. Acta Metall. <b>10<\/b>, 727\u2013738.","DOI":"10.1016\/0001-6160(62)90041-X"},{"key":"25","unstructured":"25) Rosenfield, A.R. and Hahn, G.T. (1968) Linear arrays of moving dislocations emitted by a source. <i>In<\/i> Dislocation Dynamics (eds. Rosenfield, A.R., Hahn, G.T., Bement, A.L., Jr. and Jaffee, R.I.). Mcgraw-Hill, New York, NY, pp. 255\u2013273."},{"key":"26","doi-asserted-by":"crossref","unstructured":"26) Kanninen, M.F. and Rosenfield, A.R. (1969) Dynamics of dislocation pile-up formation. Philos. 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(1969) A kinetic approach to fatigue crack propagation. <i>In<\/i> Physics of Strength and Plasticity (ed. Argon, A.S.). The MIT Press, Cambridge, MA, pp. 327\u2013338."},{"key":"31","doi-asserted-by":"crossref","unstructured":"31) Yokobori, T. and Aizawa, T. (1973) The influence of temperature and stress intensity factor upon the striation and fatigue crack propagation rate of aluminum alloy. Int. J. Fract. <b>9<\/b>, 489\u2013491.","DOI":"10.1007\/BF00036333"},{"key":"32","doi-asserted-by":"crossref","unstructured":"32) Yokobori, T. and Aizawa, T. (1975) The influence of temperature and stress intensity factor upon the fatigue crack propagation rate and striation spacing of 304 stainless steel. J. Jpn. Inst. Metals Mater. <b>39<\/b>, 1003\u20131010 (in Japanese).","DOI":"10.2320\/jinstmet1952.39.10_1003"},{"key":"33","unstructured":"33) Yokobori, T., Kawasaki, T., Nakanishi, S., Sawaki, Y. and Hatanaka, K. (1975) Fracture toughness and fatigue crack propagation in high strength steel from room temperature to \u2212180 \u00b0C. Eng. Fract. Mech. <b>7<\/b>, 465\u2013472."},{"key":"34","unstructured":"34) Yokobori, A.T., Jr. and Yokobori, T. (1982) On micro- and macro-mechanics of fatigue thresholds. <i>In<\/i> Proceedings of the International Conference on Fatigue Thresholds, Vol. 1. EMAS, Stockholm, pp. 171\u2013189."},{"key":"35","doi-asserted-by":"crossref","unstructured":"35) Ba\u00eflon, J. and Antolovich, S. (1983) Effect of microstructure on fatigue crack propagation: a review of existing models and suggestions for further research. <i>In<\/i> Fatigue Mechanisms: Advances in Quantitative Measurement of Physical Damage (eds. Lankford, J., Davidson, D., Morris, W. and Wei, R.). ASTM International, West Conshohocken, PA, pp. 313\u2013349.","DOI":"10.1520\/STP30563S"},{"key":"36","doi-asserted-by":"crossref","unstructured":"36) Yokobori, A.T. Jr., Nemoto, T., Satoh, K. and Yamada, T. (1996) Numerical analysis on hydrogen diffusion and concentration in solid with emission around the crack tip. Eng. Fract. Mech. <b>55<\/b>, 47\u201360.","DOI":"10.1016\/0013-7944(96)00002-1"},{"key":"37","doi-asserted-by":"crossref","unstructured":"37) Ohmi, T., Yokobori, A.T. Jr. and Takei, K. (2012) Flow controllability of hydrogen diffusion driven by local stress field for steel under cyclic loading condition. Defect Diffus. Forum <b>326\u2013328<\/b>, 626\u2013631.","DOI":"10.4028\/www.scientific.net\/DDF.326-328.626"},{"key":"38","doi-asserted-by":"crossref","unstructured":"38) Oriani, R.A. (1969) Thermomigration in solid metals. J. Phys. Chem. Solids <b>30<\/b>, 339\u2013351.","DOI":"10.1016\/0022-3697(69)90315-1"},{"key":"39","doi-asserted-by":"crossref","unstructured":"40) Sofronis, P. and Mcmeeking, R.M. (1989) Numerical analysis of hydrogen transport near a blunting crack tip. J. Mech. Phys. 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(2014) The quantitative estimation of the sensitivity of corrosion and hydrogen environment on fatigue crack growth rate for steels. <i>In<\/i> Proceedings of the ASME 2014 Pressure Vessels and Piping Conference. Volume 6B: Materials and Fabrication (Anaheim, CA, 2014). ASME, New York, NY, Paper No. V06BT06A017."},{"key":"47","doi-asserted-by":"crossref","unstructured":"48) Yatabe, H., Yamada, K., Rios, E.R. and Miller, K.J. (1995) Formation of hydrogen-assisted intergranular cracks in high strength steels. Fatigue Fract. Eng. Mater. Struct. <b>18<\/b>, 377\u2013384.","DOI":"10.1111\/j.1460-2695.1995.tb00884.x"},{"key":"48","unstructured":"49) Ohmi, T., Yokobori, A.T., Jr., Yamaji, N., Sugawara, S., Ebata, T. and Naruse, T. (2018) Specification of additive elements effective in the resistance to the hydrogen embrittlement for electromagnetic stainless steel based on the test method of hydrogen embrittlement using a small scale specimen. <i>In<\/i> Proceedings of 34th Fatigue Symposium (Kyoto, 2018). Society for Materials Science, No. 15, http:\/\/fatigue.jsms.jp\/sympofatiguedatabase\/sympofatigue34-2018\/sympo34.html (in Japanese)."},{"key":"49","doi-asserted-by":"crossref","unstructured":"50) Komai, M., Yamasaki, Y. and Takagi, K. (1993) Effect of Cr content on properties of (Mo,Ni) boride base hard alloys. J. Jpn. Inst. Metals Mater. <b>57<\/b>, 813\u2013820 (in Japanese).","DOI":"10.2320\/jinstmet1952.57.7_813"},{"key":"50","unstructured":"51) Wei, F.-G., Hara, T., Tsuchida, T. and Tsuzaki, K. (2003) Hydrogen trapping in quenched and tempered 0.42C\u20130.3Ti steel containing bimodally dispersed TiC particles. ISIJ Int. <b>43<\/b>, 539\u2013547."},{"key":"51","doi-asserted-by":"crossref","unstructured":"52) Nagao, A., Martin, M.L., Dadfarnia, M., Sofronis, P. and Robertoson, I.M. (2014) The effect of nanosized (Ti,Mo)C precipitates on hydrogen embrittlement of tempered lath martensitic steel. Acta Mater. <b>74<\/b>, 244\u2013254.","DOI":"10.1016\/j.actamat.2014.04.051"},{"key":"52","doi-asserted-by":"crossref","unstructured":"53) Yokobori, A.T. Jr. and Yokobori, T. (1988) The crack initiation and growth under high temperature creep, fatigue and creep-fatigue multiplication. Eng. Fract. Mech. <b>31<\/b>, 931\u2013945.","DOI":"10.1016\/0013-7944(88)90204-4"},{"key":"53","doi-asserted-by":"crossref","unstructured":"54) Landes, J.D. and Begley, J.A. (1976) A fracture mechanics approach to creep crack growth. <i>In<\/i> Mechanics of Crack Growth. 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Eng. <b>44<\/b>, 1831\u20131838 (in Japanese).","DOI":"10.1299\/kikai1938.44.1831"},{"key":"57","doi-asserted-by":"crossref","unstructured":"58) Taira, S., Ohtani, R. and Kitamura, T. (1979) Application of J-integral to high-temperature crack propagation: Part I\u2014Creep Crack Propagation. J. Eng. Mater. Technol. <b>101<\/b>, 154\u2013161.","DOI":"10.1115\/1.3443668"},{"key":"58","doi-asserted-by":"crossref","unstructured":"59) Koterazawa, R. and Mori, T. (1977) Application of fracture mechanics parameter to crack propagation under creep conditions. J. Eng. Mater. Technol. <b>99<\/b>, 298\u2013305.","DOI":"10.1115\/1.3443544"},{"key":"59","doi-asserted-by":"crossref","unstructured":"60) Ozeki, G., Yokobori, A.T., Jr. and Matsuzaki, T. (2016) Creep damage formation and crack initiation\/growth behavior of notched specimen for directionally solidified Ni-base superalloy by interrupted observation. Proceedings of the ASME 2016 Pressure Vessels and Piping Conference. Volume 5: High-Pressure Technology (Vancouver, 2016). ASME, New York, NY, Paper No. V005T12A002.","DOI":"10.1115\/PVP2016-63380"},{"key":"60","doi-asserted-by":"crossref","unstructured":"61) Yokobori, A.T. Jr., Abe, K., Tsukidate, H., Ohmi, T., Sugiura, R. and Ishikawa, H. (2011) Micro mechanics based on vacancy diffusion coupled with damage mechanics related to creep deformation and prediction of creep fracture life. Mater. High Temp. <b>28<\/b>, 126\u2013136.","DOI":"10.1179\/096034011X13061599631976"},{"key":"61","doi-asserted-by":"crossref","unstructured":"62) Tsukidate, H. and Yokobori, A.T., Jr. (2005) In situ observation and damage mechanics on the progressive behavior of high temperature creep damage for TiAl intermetallic alloys. <i>In<\/i> The Proceedings of Conference of Tohoku Branch of The Japan Society of Mechanic Engineers. pp. 146\u2013147 (in Japanese).","DOI":"10.1299\/jsmeth.2005.40.146"},{"key":"62","unstructured":"63) Yokobori, A.T., Jr., Sugiura, R., Tabuchi, M., Fuji, A., Adachi, T. and Yokobori, T. (2005) The effect of multi-axial stress component on creep crack growth rate concerning structural brittleness. <i>In<\/i> Advances in Fracture Research: Proceedings of the 11th International Conference on Fracture (Turin, 2005). CD-ROM."},{"key":"63","unstructured":"64) Yokobori, A.T., Jr., Kuriyama, T. and Kaji, Y. (2001) Damage progression behaviour under high temperature creep and fatigue conditions. <i>In<\/i> Advances in Fracture Research: Proceedings of the 10th International Conference on Fracture (Honolulu, 2001). Elsevier Science, CD-ROM."},{"key":"64","unstructured":"65) Bassani, J.L. and Hawk, D.E. (1987) Damage equations and influence of damage on crack-tip fields under creep conditions. <i>In<\/i> Proceedings of MECAMAT International Seminar on High Temperature Fracture Mechanism and Mechanics (Dourdan, 1987). MECAMAT, Moissy-Cramayel, pp. 19\u201340."},{"key":"65","doi-asserted-by":"crossref","unstructured":"66) Yokobori, A.T. Jr., Yokobori, T., Nishihara, T. and Yamaoku, T. (1992) An alternative correlating parameter for creep crack growth rate and its application: Derivation of the parameter Q<sup>*<\/sup>. Mater. High Temp. <b>10<\/b>, 108\u2013118.","DOI":"10.1080\/09603409.1992.11689408"},{"key":"66","doi-asserted-by":"crossref","unstructured":"67) Yokobori, A.T. Jr., Uesugi, T., Yokobori, T., Fuji, A., Kitagawa, M., Yamaya, I. (1998) Estimation of creep crack growth rate in IN-100 based on the Q<sup>*<\/sup> parameter concept. J. Mater. Sci. <b>33<\/b>, 1555\u20131562.","DOI":"10.1023\/A:1017511703462"},{"key":"67","doi-asserted-by":"crossref","unstructured":"68) Yokobori, A.T. Jr., Satoh, T., Tabuchi, M., Fuji, A. and Yokobori, T. (2001) The characterization of creep crack growth rate and its life of TiAl inter-metallic compound with full lamellar microstructure. Int. J. Press. Vessels Pip. <b>78<\/b>, 757\u2013764.","DOI":"10.1016\/S0308-0161(01)00087-4"},{"key":"68","doi-asserted-by":"crossref","unstructured":"69) Adachi, T., Yokobori, A.T. Jr., Tabuchi, M., Fuji, A., Yokobori, T. and Nikbin, K. (2004) The proposal of Q<sup>*<\/sup> parameter and derivation of the law of crack growth life for Cr-Mo-V steel. Mater. High Temp. <b>21<\/b>, 95\u2013100.","DOI":"10.3184\/096034004782749962"},{"key":"69","unstructured":"70) Yokobori, A.T., Jr. and Yokobori, T. (1989) New concept to crack growth at high temperature creep and creep-fatigue. <i>In<\/i> Advances in Fracture Research: Proceedings of the 7th International Conference on Fracture (Houston, TX, 1989). Vol. 2, pp. 1723\u20131735."},{"key":"70","unstructured":"71) Shirai, Y., Yokobori, A.T., Jr., Sugiura, R., Fukuda, T., Matsuzaki, T., Ishikawa, H. <i>et al.<\/i> (2015) The effect of load frequency on the temperature dependence of fracture life of notched specimens for 9\u201312Cr steel under creep-fatigue conditions. <i>In<\/i> Proceedings of the ASME 2015 Pressure Vessels and Piping Conference. Volume 6A: Materials and Fabrication (Boston, MA, 2015). ASME, New York, NY, Paper No. V06AT06A050."},{"key":"71","doi-asserted-by":"crossref","unstructured":"72) Sugiura, R., Yokobori, A.T. Jr., Ohmi, T., Nagumo, Y., Matsuzaki, T. and Yardley, V.A. (2012) Scale effect of material structure on the similarity of subcritical crack growth under sustained loading. Strength Fract. Complex. <b>7<\/b>, 321\u2013332.","DOI":"10.3233\/SFC-2012-0147"},{"key":"72","doi-asserted-by":"crossref","unstructured":"73) Sugiura, R., Yokobori, A.T. Jr., Takamori, S., Tabuchi, M., Fuji, A., Yoda, M. (2007) Effects of alloying additions and material microstructure on the accuracy of the predictive law of creep crack growth for W-strengthened 9\u201312%Cr ferritic heat-resistant steel. Mater. Trans. <b>48<\/b>, 2928\u20132936.","DOI":"10.2320\/matertrans.MRA2007112"},{"key":"73","doi-asserted-by":"crossref","unstructured":"74) Yagi, K., Tanaka, C., Kubo, K. and Tanaka, H. (1983) High temperature strength of SUS316 stainless steel subjected to creep damage. J. Soc. Mater. Sci. Jpn. <b>32<\/b>, 556\u2013562 (in Japanese).","DOI":"10.2472\/jsms.32.556"},{"key":"74","doi-asserted-by":"crossref","unstructured":"75) Yokobori, A.T. Jr. and Sugiura, R. (2007) Effect of component size, geometry, microstructure and aging on the embrittling behavior of creep crack growth correlated by the <i>Q<\/i><sup>*<\/sup> parameter. Eng. Fract. Mech. <b>74<\/b>, 898\u2013911.","DOI":"10.1016\/j.engfracmech.2006.10.004"},{"key":"75","doi-asserted-by":"crossref","unstructured":"76) Jelwan, J., Zarrabi, K., Karpour, A. and Pearce, G. (2011) High temperature fracture mechanics: A comprehensive examination with a critical review. Compos. Mech. Comput. Appl. Int. J. <b>2<\/b>, 59\u201381.","DOI":"10.1615\/CompMechComputApplIntJ.v2.i1.40"},{"key":"76","doi-asserted-by":"crossref","unstructured":"77) Ekaputra, L.M.W., Kim, W.G., Park, J.Y., Kim, S.J. and Kim, E.S. (2014) Analysis of the creep crack growth rate for modified 9Cr-1Mo steel using Q<sup>*<\/sup> parameter. J. Mech. Sci. Tech. <b>28<\/b>, 4075\u20134081.","DOI":"10.1007\/s12206-014-0920-x"},{"key":"77","doi-asserted-by":"crossref","unstructured":"78) Ekaputra, L.M.W., Kim, W.G., Park, J.Y., Kim, S.J. and Kim, E.S. (2016) Characterization of the Q<sup>*<\/sup> parameter for evaluating creep crack growth rate for type 316LN stainless steel. J. Mech. Sci. Tech. <b>30<\/b>, 3151\u20133158.","DOI":"10.1007\/s12206-016-0625-4"},{"key":"78","doi-asserted-by":"crossref","unstructured":"79) Yokobori, A.T. Jr. and Yokobori, T. (1991) The mechanical test method of cardiovascular and related biomaterials. Biomed. Mater. Eng. <b>1<\/b>, 25\u201343.","DOI":"10.3233\/BME-1991-1105"},{"key":"79","doi-asserted-by":"crossref","unstructured":"80) Yokobori, A.T. Jr., Ohkuma, T., Maeyama, T., Ohuchi, T. and Yoshinari, T. (1991) Effects of pulsatile flow pattern and each stage of pressure increasing, constant and decreasing, respectively upon inelastic deformation of blood vessel. Biomed. Mater. Eng. <b>1<\/b>, 233\u2013241.","DOI":"10.3233\/BME-1991-1404"},{"key":"80","unstructured":"81) Jono, M., Hanai, M. and Kikukawa, M. (1983) Effect of frequency ratio overstress to understress on cumulative damage below fatigue limit. J. Soc. Mater. Sci. Jpn. <b>32<\/b>, 1137\u20131143 (in Japanese)."},{"key":"81","doi-asserted-by":"crossref","unstructured":"82) Yokobori, A.T. Jr., Maeyama, T., Ohkuma, T., Yokobori, T., Ohuchi, H., Nara, S. (1986) Bio-medico-mechanical behaviour of natural artery blood vessel internal pulsate pressure flow test in vitro. J. Biomech. Eng. <b>108<\/b>, 295\u2013300.","DOI":"10.1115\/1.3138617"},{"key":"82","doi-asserted-by":"crossref","unstructured":"83) Yokobori, A.T. Jr., Ohmi, T., Monma, R., Tomono, Y., Inoue, K., Owa, M. (2013) Correlation between the characteristics of acceleration and visco elasticity of artery wall under pulsatile flow conditions (physical meaning of I<sup>*<\/sup> as a parameter of progressive behaviors of atherosclerosis and arteriosclerosis). Biomed. Mater. Eng. <b>23<\/b>, 75\u201391.","DOI":"10.3233\/BME-120734"},{"key":"83","doi-asserted-by":"crossref","unstructured":"84) Yokobori, A.T. Jr., Ichiki, M., Tomono, Y., Tanaka, D., Kanno, T., Sugiura, R. (2011) Frequency response of blood vessel wall with atherosclerosis and aneurysm. Biomed. Mater. Eng. <b>21<\/b>, 171\u2013177.","DOI":"10.3233\/BME-2011-0666"},{"key":"84","doi-asserted-by":"crossref","unstructured":"85) Womersley, J.R. (1955) Oscillatory motion of a viscous liquid in a thin-walled elastic tube, I: The linear approximation for long waves. Philos. Mag. <b>46<\/b>, 199\u2013221.","DOI":"10.1080\/14786440208520564"},{"key":"85","doi-asserted-by":"crossref","unstructured":"86) Vlachopoulos, C., Aznaouridis, K. and Stefanadis, C. (2010) Prediction of cardiovascular events and all-cause mortality with arterial stiffness: A systematic review and meta-analysis. J. Am. Coll. Cardiol. <b>55<\/b>, 1318\u20131327.","DOI":"10.1016\/j.jacc.2009.10.061"},{"key":"86","doi-asserted-by":"crossref","unstructured":"87) Shirai, K., Utino, J., Otsuka, K. and Takata, M. (2006) A novel blood pressure\u2014Independent arterial wall stiffness parameter; cardio-ankle vascular index (CAVI). J. Atheroscler. Thromb. <b>13<\/b>, 101\u2013107.","DOI":"10.5551\/jat.13.101"},{"key":"87","doi-asserted-by":"publisher","unstructured":"88) Weitz, J.I., Byrne, J., Clagett, G.P., Farkouh, M.E., Porter, J.M., Sackett, D.L. (1996) Diagnosis and treatment of chronic arterial insufficiency of lower extremities: A critical review. Circulation <b>94<\/b>, 3026\u20133049.","DOI":"10.1161\/01.CIR.94.11.3026"},{"key":"88","doi-asserted-by":"crossref","first-page":"1399","DOI":"10.1161\/01.CIR.74.6.1399","author":"P. Pignoli","year":"1986","unstructured":"89) Pignoli, P., Tremoli, E., Poli, A., Oreste, P. and Paoletti, R. (1986) Intimal plus medical thickness of the arterial wall: A direct measurement with ultrasound imaging. Circulation <b>74<\/b>, 1399\u20131406.","journal-title":"Circulation","ISSN":"https:\/\/id.crossref.org\/issn\/0009-7322","issn-type":"print"},{"key":"89","doi-asserted-by":"crossref","unstructured":"90) Yokobori, A.T. Jr., Watanabe, K., Saiki, Y., Nishikawa, Y., Kudo, K., Ohmi, T. (2019) Frequency and chaotic analysis of pulsatile motion of blood vessel wall related to aneurysm. Biomed. Mater. Eng. <b>30<\/b>, 243\u2013253.","DOI":"10.3233\/BME-191048"},{"key":"90","doi-asserted-by":"crossref","unstructured":"91) Taniguchi, R., Hosaka, A., Miyahara, T., Hoshina, K., Okamoto, H., Shigematsu, K. (2015) Viscoelastic deterioration of the carotid artery vascular wall is a possible predictor of coronary artery disease. J. Atheroscler. Thromb. <b>22<\/b>, 415\u2013423.","DOI":"10.5551\/jat.24513"},{"key":"91","doi-asserted-by":"crossref","unstructured":"92) Watanabe, K., Yokobori, A.T. Jr., Ohmi, T., Yoshinari, H. and Saiki, Y. (2020) Pre-clinical assessment of a prototype non-invasive diagnostic device to detect aortic aneurysm. J. Artif. Organs <b>23<\/b>, 70\u201376.","DOI":"10.1007\/s10047-019-01143-1"},{"key":"92","unstructured":"93) Nishikawa, Y., Yokobori, A.T. Jr., Kudo, K., Ohmi, T., Monma, R., Tomono, Y. (2016) The method of numerical analysis of dynamic behaviors of blood vessel wall with aneurysm under pulsatile pressure condition and its clinical application. SENAC <b>49<\/b>, 3\u201315 (in Japanese)."},{"key":"93","unstructured":"94) Hayatsu, Y., Watanabe, K., Sasaki, K., Masaki, N., Katahira, S., Kumagai, K. (2019) A novel diagnostic system for Doppler ultrasound of the peripheral arteries to detect the presence of thoracic aorta aneurysm. Biomed. Mater. Eng. <b>30<\/b>, 231\u2013242."}],"container-title":["Proceedings of the Japan Academy, Series B"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/pjab\/96\/9\/96_PJA9609B-01\/_pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,27]],"date-time":"2022-11-27T15:59:13Z","timestamp":1669564753000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.jstage.jst.go.jp\/article\/pjab\/96\/9\/96_PJA9609B-01\/_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,11,11]]},"references-count":93,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2020]]}},"URL":"https:\/\/doi.org\/10.2183\/pjab.96.029","relation":{},"ISSN":["0386-2208","1349-2896"],"issn-type":[{"value":"0386-2208","type":"print"},{"value":"1349-2896","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,11,11]]}}}