A tentative explanation for two parameters, C and m, in Paris equation of fatigue crack growth

Tanaka, Kōichi; Matsuoka, Saburo

doi:10.1007/bf00017293

Cited by 53 publications

(12 citation statements)

References 24 publications

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“…Before finding this correlation the emprical relationship in (2) will be confirmed by using a larger number of data than those compiled in a previous paper [11], and the correlation of m with strength, fracture toughness, mechanical constraint (specimen thickness), and microstructure will be examined in association with the growth mechanisms. (2) into (1).…”

Section: K Tanakamentioning

confidence: 87%

“…where A and AK0 are material constants independent of microstructure and strength of material [7][8][9][10][11]. As pointed out by Tanaka and Matsuoka [11], the correlation of Eqn.…”

Section: K Tanakamentioning

confidence: 99%

“…Tanaka and Matsuoka [11] suggested that the cyclic plastic behavior in the COD-affected zone just ahead of fatigue crack tip controls the crack closure [46] and could affect the resistance for the fatigue crack growth. Tanaka and Matsuoka [11] suggested that the cyclic plastic behavior in the COD-affected zone just ahead of fatigue crack tip controls the crack closure [46] and could affect the resistance for the fatigue crack growth.…”

Section: The Correlation Of Akth With Mmentioning

confidence: 99%

“…That is, the crack growth rates corresponding to the upper and lower limits differ only by a factor of about four. This suggests that the fatigue crack growths of the relevant steels are mainly operated by the striation mechanism [16], being controlled by continuum mechanics [11]. 1 come from a wide variety of sources.…”

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confidence: 99%

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A correlation of ?K th-value with the exponent, m, in the equation of fatigue crack growth for various steels

Tanaka¹

1979

Int J Fract

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A B S T R A C T Literature (mainly in Japan) relating to fatigue-crack-growth-data at R = 0 in an air environment for a wide range of steels is reviewed with particular attention to the threshold stress intensity, AKth. The collected data are analyzed in terms of the exponent, m(the slope of the linear portion of the log(da/dN)-logAK relationship) by taking account of microstructure, material strength, fracture toughness and specimen thickness. The mean rate of fatigue crack growth for ductile steels in the range from the intermediate growth rate to threshold level and the relevant threshold values at R = 0, AKth0, can be represented as daldN = 1.700 x 10-4(AK/103.6) m -10 -6 and AKth0 = 103.6(5.88 x 10-3) |/m, where (da/dN) and AK are measured by the units of mm/cycle and kgf/mm 3/2, respectively. Contrary to this, in the case of extremely brittle steels with K~c-Value below 200 kgf/mm m (the fracture occurs by the intergranular separation), the relationships are given by da/dN = 2.893 × 10-~(AK/49.94) m -2.5 x 10 -7 and AKtb0 = 49.94(8.64 × 10-;) lira. dal d N = C{AKI(1 -R)~} m -C A K~o,where AKth0 is the threshold value at R = 0 and 3' is a material parameter. From (1), the threshold stress intensity at an arbitrary value of R may be obtained as ( l -R)VAKth0. The v-value in (1) is strongly influenced by microstructure and environment [1,6].

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Section: K Tanakamentioning

confidence: 87%

“…where A and AK0 are material constants independent of microstructure and strength of material [7][8][9][10][11]. As pointed out by Tanaka and Matsuoka [11], the correlation of Eqn.…”

Section: K Tanakamentioning

confidence: 99%

Section: The Correlation Of Akth With Mmentioning

confidence: 99%

mentioning

confidence: 99%

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A correlation of ?K th-value with the exponent, m, in the equation of fatigue crack growth for various steels

Tanaka¹

1979

Int J Fract

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“…Tanaka and Matsuoka studied the crack growth in a number of steels and determined a proper best-fit relation for room temperature growth conditions [88,89].…”

Section: Fatigue Crack Growthmentioning

confidence: 99%

A Review on Fatigue Life Prediction Methods for Metals

Santecchia

Hamouda

Musharavati

et al. 2016

Advances in Materials Science and Engineering

227

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Metallic materials are extensively used in engineering structures and fatigue failure is one of the most common failure modes of metal structures. Fatigue phenomena occur when a material is subjected to fluctuating stresses and strains, which lead to failure due to damage accumulation. Different methods, including the Palmgren-Miner linear damage rule- (LDR-) based, multiaxial and variable amplitude loading, stochastic-based, energy-based, and continuum damage mechanics methods, forecast fatigue life. This paper reviews fatigue life prediction techniques for metallic materials. An ideal fatigue life prediction model should include the main features of those already established methods, and its implementation in simulation systems could help engineers and scientists in different applications. In conclusion, LDR-based, multiaxial and variable amplitude loading, stochastic-based, continuum damage mechanics, and energy-based methods are easy, realistic, microstructure dependent, well timed, and damage connected, respectively, for the ideal prediction model.

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