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Advanced 3D elasto-plastic modeling for stress-strain analysis of notched components under general multiaxial cyclic loadings

Researchers have developed several simplified approximation methods to estimate the local elasto-plastic stress and strain responses for engineering notched components subjected to complex loadings due to computationally inefficient non-linear Finite Element Analysis (FEA) [1-3]. While all current approximation models/methodologies have the capability to calculate the 2D stress/strain state at the notch root, the estimated notch root stresses and strains from such models can only be used to address fatigue crack initiation at the notch root [1-3]. However, 3D stress and strain distributions ahead of the notch root are critical to the damage tolerance and crack growth analysis of the components because the mechanisms that cause fatigue damage occur within a finite material volume along…

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Description

To address this issue, an innovative 3D approximation model has been developed to predict complete 3D stresses and strains around notches under complex multiaxial loadings. The proposed model is based on the systematic extension of the author's recent 2D computational modeling approach [1-3, 5]. The 3D modeling approach incorporates material constitute theory, the incremental multiaxial notch correction, and stress re-distribution effects in the 3D stress state around the notch root into the mathematical modeling framework shown in Figure 1. The proposed model accurately estimates elasto-plastic stress and strain distributions ahead of the notch root using linear elastic FEA solutions. The predicted 3D stress and strain responses are compared with non-linear FEA data of a cylindrical notched sample made of SAE 1070 steel for several multiaxial load cases. The model correlates well with FEA results and provides efficient and accurate simulation of the 3D elasto-plastic stress and strain distributions around the notch for the box and X-type non-proportional loading paths in Figure 2. The proposed model provides a great advantage over experiments and complex elastic-plastic FEA due to its simplicity and computational efficiency. The proposed model offers a practical modeling method for fatigue life and crack growth analysis in notched components under complex multiaxial cyclic loadings.

Reference: LCF10-2026-027

Title: Advanced 3D elasto-plastic modeling for stress-strain analysis of notched components under general multiaxial cyclic loadings
Author(s): A. Ince
DOI: 10.48447/LCF10-2026-027
Event: Tenth International Conference on Low Cycle Fatigue (LCF-10)
Year of publication: 2026
Publication type: conference paper (PDF)
Language: English
Keywords: multiaxial loading,notch elastic-plastic analysis,crack propagation,computational modeling

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Publication type: conference paper (PDF)

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Author(s): A. Ince

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Author(s): M. Arai, Y. Yamazaki

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A study of small crack propagation behavior in a single crystal Ni based superalloy under TMF conditions

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Author(s): Y. Yamazaki, M. Arai

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Small Fatigue Crack Growth Mechanisms under Thermo-Mechanical Fatigue in a Polycrystalline Superalloy: Role of Crack Closure

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Author(s): F. Ebling, H. Oesterlin, A. Pundt, T. Michler

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Modeling low cycle fatigue life of alloy 718 in a hydrogen environment

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Author(s): M. Ito

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Creep-Fatigue Fracture Mechanisms in Aluminum Alloy 2618: Effect ofTensile Holding Period on Fatigue Lifetime

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English

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Author(s): T. Hayashibe, K. Sasaki, K. Ohguchi, K. Fukuchi, S. Honda, Y. Tsubota, W. Nagai, K. Ohsato, N. Shinya

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Neural-Network-Based Low Cycle Fatigue Life Estimation of Aluminum Alloys - Effect of Input Variables

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