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The characteristic scale of ρ is related to the damage zone width on the crack surface and is of the order of a micron for brittle polymers [the craze layer width, R. P. Kambour, J. Polym. Sci. A-2 4, 17 (1966)].
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84988755751
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note
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We assume incompressibility condition (divv = 0).
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29
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0000514637
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1 cannot be interpreted as the hydrostatic pressure due to thermal expansion. Although the temperature at the crack tip can be of the order of several hundred degrees, the thermal equilibrium is unlikely to be achieved at the crack tip; see, e.g., K. N. G. Fuller, P. G. Fox, and J. E. Field, Proc. R. Soc. London A 341, 537 (1975); J. A. Kallivayalil and A. T. Zender, Int. J. Fract. 66, 99 (1994).
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30
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0028384013
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1 cannot be interpreted as the hydrostatic pressure due to thermal expansion. Although the temperature at the crack tip can be of the order of several hundred degrees, the thermal equilibrium is unlikely to be achieved at the crack tip; see, e.g., K. N. G. Fuller, P. G. Fox, and J. E. Field, Proc. R. Soc. London A 341, 537 (1975); J. A. Kallivayalil and A. T. Zender, Int. J. Fract. 66, 99 (1994).
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Kallivayalil, J.A.1
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33
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84988791330
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note
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The interaction with sound can be reduced by introducing additional damping term ∼u̇ to the right-hand side of Eq. (1).
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