Statistical and geometrical size effects in notched members based on weakest-link and short-crack modelling

被引:54
|
作者
Hertel, O. [1 ]
Vormwald, M. [1 ]
机构
[1] Tech Univ Darmstadt, Mat Mech Grp, D-64287 Darmstadt, Germany
关键词
Size effect; Short cracks; Design recommendation;
D O I
10.1016/j.engfracmech.2011.10.017
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Cracks originate at defects of numerous kinds spread in the material. The fatigue life is - besides many other factors - governed by the large defects in the highly stressed area. The statistical size effect may be taken into account by identifying the highly stressed surface of a structure. The geometrical size effect is strictly interpreted from the viewpoint of fracture mechanics. Endurance limit stresses are correlated with thresholds of fatigue crack growth. For short cracks the increase of the threshold with crack length may be steeper than the increase of the applied stress intensity factor. In terms of applied local stresses this phenomenon of non propagating cracks can be expressed as a support factor. Additionally, some metals may show stable cyclic plastic deformation at the endurance limit. If proofs of the fatigue strength are based on the Theory of Elasticity a hypothetical stress state in accordance with the theory must be found which corresponds with the real stresses and strains at the critical locations of components. Neuber's formula is used to supply this correlation expressed as a macro support factor. The paper describes a multiplicative ansatz for considering these combined effects in a design environment. A validation of the system of factors against experimental evidence is provided. (C) 2012 Elsevier Ltd. All rights reserved.
引用
收藏
页码:72 / 83
页数:12
相关论文
共 12 条
  • [1] Deterministic and probabilistic description of fatigue short-crack growth in notched members
    Kocanda, D
    Kocanda, S
    Tomaszek, H
    [J]. MATERIALS SCIENCE, 1998, 34 (05) : 662 - 671
  • [2] Deterministic and probabilistic description of fatigu short-crack growth in notched members
    D. Kocańda
    S. Kocańda
    H. Tomaszek
    [J]. Materials Science, 1998, 34 : 662 - 671
  • [3] Probabilistic fatigue assessment of notched components under size effect using generalized weakest-link model
    Zhu, Shun-Peng
    Wu, Yan-Lai
    Yi, Xiaojian
    Fu, Sicheng
    Correia, Jose A. F. O.
    [J]. INTERNATIONAL JOURNAL OF FATIGUE, 2022, 162
  • [4] Size effect in fatigue modelling of defective materials: Application of the calibrated weakest-link theory
    He, Jin-Chao
    Zhu, Shun-Peng
    Luo, Changqi
    Niu, Xiaopeng
    Wang, Qingyuan
    [J]. INTERNATIONAL JOURNAL OF FATIGUE, 2022, 165
  • [5] Failure modelling of glass plates in biaxial loading: using flaw-size based weakest-link systems
    Kinsella, David
    Serrano, Erik
    [J]. GLASS STRUCTURES & ENGINEERING, 2021, 6 (04) : 397 - 424
  • [6] Failure modelling of glass plates in biaxial loading: using flaw-size based weakest-link systems
    David Kinsella
    Erik Serrano
    [J]. Glass Structures & Engineering, 2021, 6 : 397 - 424
  • [7] Application of Weibull weakest-link theory for calculation of size effects in continuous dynamic stress
    Friederich, H
    Kaiser, B
    Kloos, KH
    [J]. MATERIALWISSENSCHAFT UND WERKSTOFFTECHNIK, 1998, 29 (04) : 178 - 184
  • [8] A calibrated weakest-link model for probabilistic assessment of LCF life considering notch size effects
    Liu, Xi
    Wang, Rongqiao
    Hu, Dianyin
    Mao, Jianxing
    [J]. INTERNATIONAL JOURNAL OF FATIGUE, 2020, 137
  • [9] Deterministic and probabilistic description of fatigue short-crack growth in notched members (vol 34, pg 666, 1998)
    Kocanda, D
    Kocanda, S
    Tomaszek, H
    [J]. MATERIALS SCIENCE, 1998, 34 (06) : 897 - 897
  • [10] Size effect in fatigue modelling of defective materials: Application of the calibrated weakest-link theory (vol 165, 107213, 2022)
    He, Jin-Chao
    Zhu, Shun-Peng
    Luo, Changqi
    Niu, Xiaopeng
    Wang, Qingyuan
    [J]. INTERNATIONAL JOURNAL OF FATIGUE, 2023, 167