Efficient implementation of critical plane for 3D stress histories using triangular elements

Sunde, Steffen Loen; Berto, Filippo; Haugen, Bjørn Olav

doi:10.1016/j.ijfatigue.2019.105448

Cited by 13 publications

(3 citation statements)

References 33 publications

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“…Wentingmann et al 27 have developed an algorithm that increases the speed of critical plane detection by segmenting a coarse Weber half sphere with quad elements. Similarly, Sunde et al 28 developed an adaptive scheme that densifies a triangular mesh around the elements where the greatest damage has been observed. Sometimes instead, the loading condition of the specimen results in a reduced stress state that allows for a purely analytical formulation of the damage factor 29–31 …”

Section: Introductionmentioning

confidence: 99%

Closed‐form solution for the Fatemi‐Socie extended critical plane parameter in case of linear elasticity and proportional loading

Chiocca,

Sgamma,

Frendo

2023

Fatigue Fract Eng Mat Struct

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Fatigue damage remains a significant issue for both metallic and non‐metallic components, being the main cause of in‐service failures. Among the different assessment methodologies, critical plane methods have gained significance as they enable identifying the critical location and the early crack propagation orientation. However, the standard plane scanning method used for calculating critical plane factors is computationally intensive, and as a result, it is usually applied only when the component's critical region is known in advance. In the presence of complex geometries, loads, or constraints, a more efficient method would be required. This work presents a closed‐form solution to efficiently evaluate a critical plane factor based on the Fatemi‐Socie criterion, in the case of isotropic linear‐elastic material behavior and proportional loading conditions. The proposed algorithm, based on tensor invariants and coordinate transformation laws, was tested on different case studies under various loading conditions, showing a significant reduction in computation time compared to the standard plane scanning method.

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Section: Introductionmentioning

confidence: 99%

Closed‐form solution for the Fatemi‐Socie extended critical plane parameter in case of linear elasticity and proportional loading

Chiocca,

Sgamma,

Frendo

2023

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…Wentingmann et al [28] have developed an algorithm that increases the speed of critical plane detection by segmenting a coarse Weber half sphere with quad elements. Similarly, Sunde et al [29] developed an adaptive scheme that densifies a triangular mesh around the elements where the greatest damage has been observed. Sometimes instead, the loading condition of the specimen results in a reduced stress state that allows for a purely analytical formulation of the damage factor [30][31][32].…”

Section: Introductionmentioning

confidence: 99%

Closed form solution for Fatemi-Socie critical plane method in case of linear elasticity and proportional loading

Chiocca

Sgamma

Frendo

2023

Preprint

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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.

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“…Wentingmann et al [38] developed an algorithm that accelerated critical plane detection by segmenting a coarse Weber half sphere with quad elements. Similarly, Sunde et al [39] devised an adaptive scheme that densified a triangular mesh around elements where the greatest damage had been observed. These advancements have shown promise in reducing computation time, thereby enabling more efficient fatigue assessment procedures.…”

Section: Introductionmentioning

confidence: 99%

Fatigue assessment of a FSAE car rear upright by a closed form solution of the critical plane method

Chiocca,

Sgamma,

Frendo

et al. 2023

Frattura Ed Integrità Strutturale

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Material fatigue is extensively discussed and researched within scientific and industrial communities. Fatigue damage poses a significant challenge for both metallic and non-metallic components, often resulting in unexpected failures of in-service parts. Within multiaxial fatigue assessment, critical plane methods have gained importance due to their ability to characterize a component's critical location and detect early crack propagation. However, the conventional approach to calculate critical plane factors is time-consuming, making it primarily suitable for research purposes or when critical regions are already known. In many real-world scenarios, identifying the critical area of a component is difficult due to complex geometries, varying loads, or time limitations. This challenge becomes particularly crucial after topological optimization of components and in the context of lightweight design. Recently, the authors proposed an efficient method for evaluating critical plane factors in closed form, applicable to all cases that necessitate the maximization of specific parameters based on stress and strain components or their combination. This paper presents and validates the proposed methodology, with reference to a rear upright of a FSAE car, which is characterized by a complex geometry and is subjected to non-proportional loading conditions. The efficient algorithm demonstrated a substantial reduction in computation time compared to the standard plane scanning method, while maintaining solution accuracy.

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Efficient implementation of critical plane for 3D stress histories using triangular elements

Cited by 13 publications

References 33 publications

Closed‐form solution for the Fatemi‐Socie extended critical plane parameter in case of linear elasticity and proportional loading

Closed‐form solution for the Fatemi‐Socie extended critical plane parameter in case of linear elasticity and proportional loading

Closed form solution for Fatemi-Socie critical plane method in case of linear elasticity and proportional loading

Fatigue assessment of a FSAE car rear upright by a closed form solution of the critical plane method

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