A closed-form solution for evaluating the Findley critical plane factor

The fatigue assessment of structural components is a significant topic investigated both in the academia and industry. Despite the significant progress in comprehension over the past few decades, fatigue damage remains a significant challenge, often leading to unexpected component failures. One comm...

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Vydané v:European journal of mechanics, A, Solids Ročník 105; s. 105274
Hlavní autori: Chiocca, A., Sgamma, M., Frendo, F.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Elsevier Masson SAS 01.05.2024
Predmet:
Algorithm optimization
Computational efficiency
Critical plane
Findley
Material fatigue
Critical plane
Findley
Computational efficiency
Material fatigue
Algorithm optimization
ISSN:0997-7538, 1873-7285
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Shrnutí:The fatigue assessment of structural components is a significant topic investigated both in the academia and industry. Despite the significant progress in comprehension over the past few decades, fatigue damage remains a significant challenge, often leading to unexpected component failures. One commonly used approach for fatigue assessment is the critical plane analysis, which aids in identifying the critical location and early crack propagation direction in a component. However, the conventional method for calculating critical plane factors is computationally demanding and is typically utilized only when the critical regions of the component are already known. In situations where the critical areas are difficult to be identified due to complex geometry, loads, or constraints, a more efficient method is required for evaluating critical plane factors. This research paper introduces an analytical algorithm to efficiently evaluates the widely used Findley critical plane factor. The algorithm operates within the framework of linear-elastic material behavior and proportional loading conditions, relying on tensor invariants and coordinate transformation laws. The algorithm has been tested on different component geometries, including a box-welded joint and a tubular specimen, subjected to proportional loading conditions such as tension, torsion, and a combination of them. The analytical method allowed a significant reduction in computation time while providing the exact solution of critical plane factor and critical plane orientations. •This study introduces a solution in closed form for the Findley critical plane factor.•The approach applies effectively to proportional loading and linear elasticity scenarios.•Its precision and efficiency were demonstrated in comparison to the standard procedure.•A remarkable reduction of over 99.8% in computation time was attained.
ISSN:0997-7538
1873-7285
DOI:10.1016/j.euromechsol.2024.105274