長年の工学的課題を解決する新しい3次元モデリング手法を開発(Concordia professor tackles decades-old engineering challenge with new 3D modeling framework)

2026-11-04 :コンコルディア大学

カナダ・コンコルディア大学のAyhan Ince教授らは、金属部品に繰り返し荷重が加わった際、切り欠きや穴、溝などの応力集中部周辺で発生する疲労損傷を、効率的に予測する新しい3次元モデリング手法を開発した。従来の簡易解析では部品表面の応力状態しか十分に評価できず、材料内部の変形や損傷の進展を把握するには、計算負荷の大きい非線形シミュレーションが必要だった。今回の手法は、複数の力学モデルを統合し、引張り、圧縮、曲げ、ねじりなどが複合的に作用する場合でも、応力分布と弾塑性変形を3次元的に予測できる。切り欠き付き鋼材を用いた計算比較では、従来の詳細な非線形シミュレーションが28分を要したのに対し、新手法は4.5分で計算を完了し、約6倍の高速化を実現した。自動車の車軸やサスペンション、航空機部品などの耐久性評価や設計最適化への応用が期待される。今後、異なる材料や形状を用いた実験による検証が予定されている。

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一般的な多軸荷重下におけるノッチ前方の弾塑性応力-ひずみ予測のための3次元モデリングフレームワーク Three-dimensional modeling framework for elastic-plastic stress-strain prediction ahead of notches under general multiaxial loading

A. Ince, G. Glinka
Theoretical and Applied Fracture Mechanics  Available online: 6 August 2026
DOI:https://doi.org/10.1016/j.tafmec.2026.105851

Abstract

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.

0102材料力学
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