XUE Gang. Fracture Criterion Hypothesis Based on First Stress Invariant[J]. Development and Application of Materials, 2014, 29(6): 1-5. DOI: 10.19515/j.cnki.1003-1545.2014.06.001
Citation: XUE Gang. Fracture Criterion Hypothesis Based on First Stress Invariant[J]. Development and Application of Materials, 2014, 29(6): 1-5. DOI: 10.19515/j.cnki.1003-1545.2014.06.001

Fracture Criterion Hypothesis Based on First Stress Invariant

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  • Received Date: October 22, 2014
  • Available Online: March 21, 2024
  • According to the physical process of material fracture, the theoretical assumption of fracture depending on the first stress invariant I1 is proposed, and the corresponding facture criterion is also given. Material begins to fracture when first stress invariant I1 of material local region reaches critical value Ib, Ibis defined as fracture strength. It can be determined by uniaxial tensile tests. Based on this fracture criterion and Mises yield criterion, four basic mechanical behavior criterions are given. The results are as follows, (1) elastic deformation:σmises< σy, I1< Ib; (2) plastic deformation:σmisesσy, I1< Ib; (3) brittle fracture:σmises< σy, I1Ib; (4) plastic fracture:σmisesσy, I1Ib.
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