Fracture Strength Analysis of the Plane-Stress State by the Ellipse Criterion

DU Jingfeng; WU Qiangjie

doi:10.21656/1000-0887.400155

Volume 41 Issue 3

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DU Jingfeng, WU Qiangjie. Fracture Strength Analysis of the Plane-Stress State by the Ellipse Criterion[J]. Applied Mathematics and Mechanics, 2020, 41(3): 292-301. doi: 10.21656/1000-0887.400155

Citation:

DU Jingfeng, WU Qiangjie. Fracture Strength Analysis of the Plane-Stress State by the Ellipse Criterion[J]. Applied Mathematics and Mechanics, 2020, 41(3): 292-301. doi: 10.21656/1000-0887.400155

Citation:

DU Jingfeng, WU Qiangjie. Fracture Strength Analysis of the Plane-Stress State by the Ellipse Criterion[J]. Applied Mathematics and Mechanics, 2020, 41(3): 292-301. doi: 10.21656/1000-0887.400155

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Fracture Strength Analysis of the Plane-Stress State by the Ellipse Criterion

doi: 10.21656/1000-0887.400155

Department of Civil Engineering, North China Institute of Science & Technology, Sanhe, Hebei 065201, P.R.China

Received Date: 2019-05-05
Rev Recd Date: 2019-12-18
Publish Date: 2020-03-01

Abstract

Abstract

The features of the ellipse criterion for fracture mechanics was briefly analyzed, and the general equation of the criterion was derived in the principal stress coordinate system. According to this general equation, a complete description of the theoretical fracture loci was proposed for the fracture under the plane stress state, then a discussion by this criterion was presented about the relationship between the failure plane direction, the fracture pattern and the material intrinsic parameters of mechanical properties. The comparison with previous theoretical results and experimental phenomena explains the limitation of the ellipse criterion in the determination of material parameters. With material characteristic parameters associated with the stress state as 2 constants in the tension and the compression zones, the theoretical fracture loci were obtained for the cast iron and the concrete. The theoretical results coincide well with the related experimental data in the tension zone, but vastly differ in the compression zone. The work illustrates the necessity to reveal the relation between the material intrinsic parameters and the stress state for the development of the ellipse criterion.
- fracture,
- failure criterion,
- plane stress,
- ellipse criterion

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References(20)

References

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