LI Yi-fan, DONG Shi-ming, LI Nian-bin, HUA Wen. A Strain-Based Criterion for General[J]. Applied Mathematics and Mechanics, 2017, 38(4): 447-456. doi: 10.21656/1000-0887.370212
Citation: LI Yi-fan, DONG Shi-ming, LI Nian-bin, HUA Wen. A Strain-Based Criterion for General[J]. Applied Mathematics and Mechanics, 2017, 38(4): 447-456. doi: 10.21656/1000-0887.370212

A Strain-Based Criterion for General

doi: 10.21656/1000-0887.370212
Funds:  The National Natural Science Foundation of China(11172186)
  • Received Date: 2016-07-11
  • Rev Recd Date: 2016-08-20
  • Publish Date: 2017-04-15
  • The maximum tangential strain (MTSN) criterion proposed in the past under mixed mode Ⅰ/Ⅱ loading was extended to spatial cracks. The effects of the Poisson’s ratio on the in-plane and out-of-plane fracture angles and on the fracture envelopes were detailedly discussed for mixed mode cracks. It is shown that the Poisson’s ratio has little effect on the out-of-plane fracture angles for mixed mode Ⅰ/Ⅲ cracks. For mixed modes Ⅱ/Ⅲ and Ⅰ/Ⅱ/Ⅲ cracks, a higher value of the Poisson’s ratio would bring a smaller value of in-plane fracture angle θf but a bigger value of out-of-plane fracture angle φf. It is also shown that the fracture envelope decreases with the Poisson’s ratio for mixed mode cracks. The influence of the Poisson’s ratio on the fracture envelope is greater than that on the in-plane fracture angle and is the least on the out-of-plane fracture angle. The theoretical results fit the experimental data well, so the extended MTSN criterion can predict spatial fracture satisfactorily.
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