LI Ya, YI Zhijian, WANG Min, SU Kang. The Stress Intensity Factor of a FiniteWidth Plate With a Mode-Ⅰ Center Crack Subjected to Uniform Stress on the Crack Surface Near the Crack Tip[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1083-1091. doi: 10.21656/1000-0887.410130
Citation: LI Ya, YI Zhijian, WANG Min, SU Kang. The Stress Intensity Factor of a FiniteWidth Plate With a Mode-Ⅰ Center Crack Subjected to Uniform Stress on the Crack Surface Near the Crack Tip[J]. Applied Mathematics and Mechanics, 2020, 41(10): 1083-1091. doi: 10.21656/1000-0887.410130

The Stress Intensity Factor of a FiniteWidth Plate With a Mode-Ⅰ Center Crack Subjected to Uniform Stress on the Crack Surface Near the Crack Tip

doi: 10.21656/1000-0887.410130
Funds:  The National Science Fund for Young Scholars of China(51408091)
  • Received Date: 2020-05-10
  • Rev Recd Date: 2020-07-26
  • Publish Date: 2020-10-01
  • With the crack line analysis method for stress intensity factors, the stress intensity factor of a finite-width plate with a mode-Ⅰ center crack subjected to uniform stress on the crack surface near the crack tip was studied analytically. Through analytical solution of the stress field and correction of the stress components on the crack line of an infinite-width plate with a mode-Ⅰ crack under uniform stress on the crack surface near the crack tip, the corrected stress components on the crack line of the corresponding finite-width plate were further deduced. Reasonable requirements on the corrected stress field at the crack line were proposed, the stress intensity factor of the finite-width plate was derived, and the correction coefficient of the stress intensity factor of the finite-width plate relative to the corresponding infinite-width plate was obtained. When the width of the finite-width plate approaches infinity, the stress intensity factor of the finite-width plate will be consistent with that of the corresponding infinite-width plate.
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