PSI - Issue 48

Tamás Fekete / Procedia Structural Integrity 48 (2023) 302–309 Fekete / Structural Integrity Procedia 00 (2023) 000 – 000

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Fig. 7. Evolution of CTDF and Rice's J-integral during the PTS transient, for aged RPV , at point 6 of the crack.

To sum up, it may be stated that the new Thermomechanics framework paves the way to more refined FM calculations in engineering – e.g., during OL – projects. This can be seen as a major advance in SIC s for the industry. 1. Summary, Conclusions At the Centre for Energy Research in Budapest, Hungary, research has been underway for some years to build solid foundations for future SIC projects for LSPS s. Methodological issues are at the heart of this research, since the theoretical foundations of today's SIC methodologies were set down a century ago, along disciplinary lines. Despite the disadvantages of the methodology, they are still used in industrial practice even today. Generalized methodology, rooted in a holistic approach, has been introduced, whose foundations demonstrate that the NLFTFM , based on modern TIV , can be a promising framework theory for future methodologies of SIC s. The paper outlined the framework theory and demonstrated its applicability on an industrially relevant example. One can conclude that NLFTFM , rooted in TIV , is a promising framework theory for future SIC methodologies, which can be well used in future industrial projects. References Bažant, Z.P., Cedolin, L., 1991. Stability of Structures – Elastic, Inelastic, Fracture and Damage Theories – . Oxford University Press, New York. Béda, Gy., Kozák, I., Verhás, J., 1995. Continuum Mechanics . Akadémiai Kiadó, Budapest. Chen, X.H., Mai, Y.W., 2013. Fracture Mechanics of Electromagnetic Materials. Nonlinear Field Theory and Applications . Imperial College Press, London. Fekete, T., 2019. Towards a Generalized Methodology for Structural Integrity Calculations of Large-Scale Pressure Vessels, Procedia Structural Integrity 17 464 – 471. https://10.1016/j.prostr.2019.08.061 Fekete, T., 2022. The Fundaments of Structural Integrity of Large-Scale Pressure Systems, Procedia Structural Integrity 37 779 – 787. https://10.1016/j.prostr.2022.02.009 Katona, T.J.; Biró, Á.; Rátkai, S. 2023, Feasibility of Safe Operation of WWER-440-Type Nuclear Power Plants for Up to 60 – 70 Years. Energies 16, 4170. https://doi.org/10.3390/en16104170 Oldofredi, A., Öttinger, H.C., 2021. The dissipative approach to quantum field theory: conceptual foundations and ontological implications, European Journal for Philosophy of Science , 11 18 https://doi.org/10.1007/s13194-020-00330-9 Öttinger, H.C., 2017. A philosophical approach to quantum field theory. Cambridge University Press, Cambridge, New York. Rice, J.R., 1968. A path independent integral and the approximate analysis of strain concentration of notches and cracks, J. Appl. Mech. 35 379 – 386. Sardanashvily, G., 2014. Advanced Differential Geometry for Theoreticians: Fiber bundles, jet manifolds and Lagrangian theory , Lambert Academic Publishing, Saarbrücken. Saunders, D.J., 1989. The Geometry of Jet Bundles , Cambridge University Press, 1989 Steinmann, P., 2022. Spatial and Material Forces in Nonlinear Continuum Mechanics. A Dissipation-Consistent Approach . In: Solid Mechanics and Its Applications 272. Springer Nature, Cham. https://doi.org/10.1007/978-3-030-89070-4 Torromé, R.G., 2021. General theory of non-reversible local dynamics, International Journal of Geometric Methods in Modern Physics 18 7 2150111. https://doi.org/10.1142/S0219887821501115 Yavari, A., Marsden, J.E., Ortiz, M., 2006. On spatial and material covariant balance laws in elasticity, Journal of Mathematical Physics 47 4 042903. https://doi.org/10.1063/1.2190827

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