High-order asymptotic analysis for the crack in nonlinear material |
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Authors: | Xia Lin Wang Tzuchiang |
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Institution: | (1) Institute of Mechanics, Chinese Academy of Sciences, 100080 Beijing, China |
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Abstract: | Accurate high-order asymptotic analyses were carried out for Mode II plane strain crack in power hardening materials. The
second-order crack tip fields have been obtained. It is found that the amplitude coefficientk
2 of the second term of the asymptotic field is correlated to the first order field as the hardening exponentn<n
* (n
*≈5), but asn≥n
*,k
2 turns to become an independent parameter. Our results also indicated that, the second term of the asymptotic field has little
influence on the near-crack-tip field and can be neglected whenn<n
*. In fact,k
2 directly reflects the effects of triaxiality near the crack tip, the crack geometry and the loading mode, so that besidesJ-integral it can be used as another characteristic parameter in the two-parameter criterion.
The project supported by National Natural Science Foundation of China |
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Keywords: | asymptotic analysis near-crack-tip field triaxiality |
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