Estimation of the Stress Intensity Factor Range Where Crack Propagates in Elastic Materials

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  • 弾性体中で亀裂が伸展する応力拡大係数範囲,K<sub><font size="-1">0</font></sub> ∼ K<sub><font size="-1">IC</font></sub>,の推定

Abstract

A crack in an elastic material propagates, giving phenomenally viscoelastic behavior, in some stress intensity factor range. The upper limit of the range, KIC, is expressed in terms of the nearest atomic distance, d0, and Young's modulus, E, as KIC = 0.9d01/2E. The lower limit of the range, K0, is not expressed in the similar form as KIC, which causes some difficulty in the estimation of the safe factor for the stress, under which no crack propagates. The expression for K0 was studied on a less empirical basis, using the expression for KIC as well as the theoretical one for surface tension, γT. The following results were given: K0 ∼ 0.5 KIC, γT ∼ (1/11) d0E, the theoretical strain limit, εf ∼ 0.3, for any material whose KIC follows the expression, KIC = 0.9d01/2E. The “surface bond energy: γb”, the origin of KIC expressed as KIC = (2γbE)”1/2, is related to γT as γb = 4γT. The estimated value of K0 is in good agreement with literature values.

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