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Stress concentration formulae useful for any shape of notch in a round test specimen under tension and under bending
Author(s) -
Noda,
Hideki Takase
Publication year - 1999
Publication title -
fatigue and fracture of engineering materials and structures
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.887
H-Index - 84
eISSN - 1460-2695
pISSN - 8756-758X
DOI - 10.1046/j.1460-2695.1999.00230.x
Subject(s) - radius , geometry , bar (unit) , mathematics , bending , tension (geology) , mathematical analysis , physics , compression (physics) , thermodynamics , computer science , computer security , meteorology
In this work stress concentration factors, K t , for a round bar with a circular‐arc or V‐shaped notch are considered on the basis of exact solutions for special cases and accurate numerical results. Then, a set of K t formulae useful for any shape of notch is proposed. The conclusions can be summarized as follows. (i) For the limiting cases of deep (d) and shallow (s) notches, the body force method is used to calculate the K t values. Then, the formulae are obtained as K t d and K t s . (ii) On the one hand, upon comparison of K t and K t d it is found that K t is nearly equal to K t d if the notch is deep or blunt. (iii) On the other hand, if the notch is sharp or shallow, K t is mainly controlled by K t s and the notch depth. (iv) The notch shape is classified into several groups according to the notch radius and notch depth. Then, the least‐squares method is applied for the calculation of K t / K t d and K t / K t s . (v) Finally, a set of convenient formulae is proposed that are useful for any shape of notch in a round test specimen. The formulae give SCFs with <1% error for any shape of notch.