PSI - Issue 68

Tamás Fekete et al. / Procedia Structural Integrity 68 (2025) 915–921 T. Fekete / Structural Integrity Procedia 00 (2025) 000–000

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In sum, the modern AM is a generalized and conceptually improved version of Aristotle’s ASM , which is widely used and accepted in scientific research. Its suitability as a tool for solving problems of theory development involving Conceptual Shifts is demonstrated by the fact that the AM adequately models the open-endedness of human problem solving and knowledge acquisition. 2.4. The new methodology is the result of a twofold Conceptual change The development of the new theoretical framework for SICs was supported by the AM, which, unlike the Aristotelian ASM, is not only a methodological tool for the development of a discipline, but also adequately describes the situation of theory development in which a new theory is created from pre-existing theories through a Conceptual Shift, so that the development of the new theory begins with a revision of the hypotheses underlying the old theory, which are taken as fundamental principles, in the light of new knowledge that has emerged in the meantime. Conceptual Shift therefore necessarily builds on accumulated knowledge – see Cellucci (2017 157.), (2022 123.), Rovelli (2024 44.). The theoretical apparatus behind the classical methodology of SIC s – for a summary see Fekete (2019), (2022) – bears the imprint of a disciplinary worldview, in which the relevant physical properties of the system of interest are discussed independently within disciplines that are considered independent of each other. The underlying physical model is based on three classical theories: (1) the Fourier theory of heat conduction in solids, (2) the classical theory of solid mechanics, (3) one of the classical theoretical models of fracture mechanics, and (4) empirically based models of aging. The theoretical models were developed independently by different people from different perspectives during the 19 th and 20 th centuries. The basic hypotheses of the models, relevant to the world view, were not harmonized. The couplings between the theoretical modules are oversimplified. The physical theory underlying the new methodology of SIC s – summarized in Fekete (2023) – is based on a holistic worldview, and assumes that the world – and the objects in it – form an entangled, irreversible evolutionary system – see Öttinger (2017), Oldofredi, Öttinger (2021) and also Torromé (2021), (2024) – whose elements, although they can in some situations be considered as independent entities, are not independent of each other. The framework theory underlying the computational model is based on a unified set of hypotheses; the physical framework theory is a holistic, multidisciplinary theory based on the modern Continuum Thermodynamics with Internal Variables and integrates Continuum Thermodynamics with Fracture Mechanics in a single framework. This is the ‘Nonlinear Field Theory of Fracture Mechanics’ – Chen, Mai (2013). The new framework is continuous with and within the validity domain of the previous framework, but its own domain of validity extends far beyond the boundaries of the old framework. Conclusions The paper outlined the new concept developed for the methodology of Structural Integrity Calculations for Large-Scale Pressure Systems, and a new research methodology for theory development – the Analytic Method. The Analytic Method is a tool of unprecedented power –much more general than the Aristotelian Analytic-Synthetic Method–, which is not only applicable in the development of a scientific discipline, but also adequately describes the situation where a new theory is created from pre-existing theories, building on existing knowledge, through Conceptual Shift. The results presented show that the Analytic Method is a ‘ cutting-edge tool ’ that can be applied in research practice. Based on the outlined results, it can also be stated that a double Conceptual Shift has been made in the development of the new concept for Large-Scale Pressure Systems Structural Integrity Calculations Methodology. This forms the main novelty of the paper. References Amari, S., 2020. Information Geometry and Its Applications . Applied Mathematical Sciences Vol. 194., Springer Japan https://doi.org/10.1007/ 978-4-431-55978-8 Bechhoefer, J., 2021. Control Theory for Physicists . Cambridge University Press, Cambridge https://doi.org/10.1017/9780511734809 Böer, K.W., Pohl, U.W., 2023. Semiconductor Physics (2 nd edition). Springer, Cham https://doi.org/10.1007/978-3- 03118286-0