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Closed form solution for Fatemi-Socie critical plane method in case of linear elasticity and proportional loading
  • Andrea Chiocca,
  • Michele Sgamma,
  • Francesco Frendo
Andrea Chiocca
Universita degli Studi di Pisa Dipartimento di Ingegneria Civile e Industriale

Corresponding Author:[email protected]

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Michele Sgamma
Universita degli Studi di Pisa Dipartimento di Ingegneria Civile e Industriale
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Francesco Frendo
Universita degli Studi di Pisa Dipartimento di Ingegneria Civile e Industriale
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Abstract

The fatigue analysis of structural components is a relevant research topic in both scientific and industrial communities. Despite major advances in understanding, fatigue damage remains a significant issue for both metallic and non-metallic components, sometimes leading to unexpected failures of in-service parts. Among the different assessment methodologies, critical plane methods have gained significance as they enable identification of a component’s critical location and direction of early crack propagation. However, the standard plane scanning method for calculating critical plane factors is computationally intensive and, for that, it is only applied when the component critical regions are already known. When critical areas are not easily identifiable due to complex geometries, loads or constraints, a more efficient method for evaluating critical plane factors would be required. This work presents a closed form solution for efficiently evaluating the Fatemi-Socie critical plane factor, in case of linear-elastic material behaviour and proportional loading conditions, based on tensor invariants and coordinates transformation laws. The proposed algorithm was tested on different test cases (i.e. hourglass, notched and welded joint geometries) under different loading conditions (i.e. tensile, bending and torsion) and showed a significant reduction in computation time compared to the standard plane scanning method.
29 Jun 2023Submitted to Fatigue & Fracture of Engineering Materials & Structures
29 Jun 2023Submission Checks Completed
29 Jun 2023Assigned to Editor
30 Jun 2023Reviewer(s) Assigned
06 Jul 2023Review(s) Completed, Editorial Evaluation Pending
26 Jul 2023Editorial Decision: Revise Major
25 Aug 20231st Revision Received
25 Aug 2023Submission Checks Completed
25 Aug 2023Assigned to Editor
25 Aug 2023Reviewer(s) Assigned
01 Sep 2023Review(s) Completed, Editorial Evaluation Pending
03 Sep 2023Editorial Decision: Revise Minor
04 Sep 20232nd Revision Received
04 Sep 2023Submission Checks Completed
04 Sep 2023Assigned to Editor
04 Sep 2023Reviewer(s) Assigned
04 Sep 2023Review(s) Completed, Editorial Evaluation Pending
06 Sep 2023Editorial Decision: Accept