A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones

HOU Yongkang; DUAN Shujin; AN Ruimei

doi:10.21656/1000-0887.380296

Volume 39 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(8): 979-988

HOU Yongkang, DUAN Shujin, AN Ruimei. A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones[J]. Applied Mathematics and Mechanics, 2018, 39(8): 979-988. doi: 10.21656/1000-0887.380296

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A Semi-Analytical Method for Stress Functions Meeting Crack Opening Displacements in Fracture Process Zones

doi: 10.21656/1000-0887.380296

¹School of Civil Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China;²Key Laboratory of Roads and Railway Engineering Safety Control of Ministry of Education, Shijiazhuang Tiedao University, Shijiazhuang 050043, P.R.China

Received Date: 2017-11-23
Rev Recd Date: 2018-01-15
Publish Date: 2018-08-15

Abstract

Abstract

Based on the Duan-Nakagawa model, with the weighted integral method, a semi-analytical method for stress functions meeting crack opening displacements in fracture process zones was proposed. The weighted function was determined by means of the boundary selected point method and the superposition of analytical functions with the same crack length but different fracture process zone lengths, to meet the given crack opening displacement in the fracture process zone, and then the final stress function and displacement function can be obtained with the weighted integral method. As an example, a special analytical solution for a double edge notched plate under Mode-I loading was derived, and the tensile strain softening curve and the fracture energy were obtained.
- fracture mechanics,
- fracture process zone,
- semi-analytical method,
- stress function,
- crack opening displacement,
- tensile strain softening curve,
- double edge notched plate

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References(21)

References

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