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Crack Tip Strain Field of Strain-Hardening Materials at Low Temperature

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Advances in Cryogenic Engineering

Part of the book series: Advances in Cryogenic Engineering ((ACRE,volume 22))

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Abstract

Experimental data on the distribution of strains in the plastic strain zone at the crack tip have been obtained for thin-sheet specimens of aluminum alloy D16T (Aluminum Association grade 2024) at 293 and 77 K. The results have been used to check the possibility of relating the strain field by an equation having the form:

$$\varepsilon = A{{\sigma _y } \over E}\left( {{{r_y } \over r}} \right)^{1/\left( {1 + n} \right)} $$
(1)

Agreement between experimental and calculated data supports the physical validity of the analytical equations given by Rice and Rosengren[1], Landes and Wei [2], and Pisarenko and Krasowsky[3].

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Abbreviations

A :

experimental constant

B :

thickness

E :

elastic modulus

Eij :

function defined by Rice and Rosengren

K I :

current value of intensity factor

I :

length of the initial crack

n :

strain-hardening exponent

N :

l/n

r :

distance from crack tip

r y :

radius of plastic zone

W:

width of specimen

σ∞ :

Stress applied at infinity

σY :

flow stress

ε:

true strain

εl :

maximum strain

References

  1. J. R. Rice and G. F. Rosengren, Mech. Phys. Solids 16(1):1 (1968).

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  2. J. D. Landes and R. P. Wei, Dynamic Systems, Measurement and Control (Dec. 17, 1973), p. 1.

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  3. G. S. Pisarenko and A. I. Krasowsky, in: Proceedings of Intern. Conference on Mechanical Behavior of Materials, Vol. 1 (1972), p. 421.

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  4. A. A. Lebedev, N. V. Novikov, B. I. Kovalchuk, and V. P. Lamashevsky, in: Advances in Cryogenic Engineering, Vol. 22, Springer Science+Business Media New York (1976), p. 102

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Author information

Authors and Affiliations

  1. Institute for Problems of Strength, Kiev, USSR

    N. V. Novikov & A. L. Maystrenko

Authors
  1. N. V. Novikov
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  2. A. L. Maystrenko
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Editor information

Editors and Affiliations

  1. Engineering Research Center, University of Colorado, Boulder, Colorado, USA

    K. D. Timmerhaus

  2. NBS Institute for Basic Standards, Boulder, Colorado, USA

    R. P. Reed  & A. F. Clark  & 

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© 1977 Springer Science+Business Media New York

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Novikov, N.V., Maystrenko, A.L. (1977). Crack Tip Strain Field of Strain-Hardening Materials at Low Temperature. In: Timmerhaus, K.D., Reed, R.P., Clark, A.F. (eds) Advances in Cryogenic Engineering. Advances in Cryogenic Engineering, vol 22. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-9850-9_11

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  • DOI: https://doi.org/10.1007/978-1-4613-9850-9_11

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-9852-3

  • Online ISBN: 978-1-4613-9850-9

  • eBook Packages: Springer Book Archive

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