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Three-dimensional modeling framework for elastic-plastic stress-strain prediction ahead of notches under general multiaxial loading

delete2026-08-06
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PRE
AI
A
A. Ince *
G
G. Glinka
DOI:10.1016/j.tafmec.2026.105851delete
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Abstract

Abstract

En 中文
Several notch correction-based approximation methods have been introduced to predict elastic-plastic stress and strain responses in notched components under complex loadings. However, most existing methods are limited to the notch root response and therefore, they are mainly applicable to fatigue crack initiation assessment. For damage tolerant analysis and crack growth assessment, three-dimensional (3D) elastic-plastic stress and strain field near the notch root is critical because fatigue damage evolves over a finite material volume near the notch root being under a multiaxial stress state. Therefore, a novel 3D computational framework is developed to compute complete 3D elastic-plastic stress and strain fields in the notch-root region of notched components under non-proportional multiaxial loading. The main novelty of the proposed framework is based on the extension of the authors' earlier deviatoric notch-analysis methodology from notch-root to a full 3D field formulation. The framework couples the linear-elastic finite element (FE) solution, incremental deviatoric notch correction, cyclic plasticity, and a spatially varying stress-redistribution correction. The proposed framework is verified against non-linear FE analysis data of a cylindrical SAE 1070 notched specimen. The FE notched specimen is subjected to three non-proportional multiaxial loading paths, namely Box-type, X-type, and Butterfly-type loading. The predicted maximum stress and strain errors are 14.6% and 15.8% for the Box-type path, 13.9% and 14.9% for the X-type path, and 16.6% and 18.4% for the Butterfly-type path respectively. The predicted results show that the proposed approach can predict the full 3D elastic-plastic field with good accuracy including the spatial stress and strain distributions and the local hysteresis responses ahead of the notch root for all three loading paths.

Journal

Theoretical and Applied Fracture Mechanics cover
Theoretical and Applied Fracture Mechanics
IF:
5.6
Papers:
4.4K
Citations:
1.3W

Organization

C
Concordia University
Scholars:
939
Papers: 533
Citations: 125
U
university of waterloo
Scholars:
2.1K
Papers: 1.1K
Citations: 1
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