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ACTA AERONAUTICAET ASTRONAUTICA SINICA ›› 2023, Vol. 44 ›› Issue (12): 227671-227671.doi: 10.7527/S1000-6893.2022.27671

• Solid Mechanics and Vehicle Conceptual Design • Previous Articles     Next Articles

Energy⁃based J⁃integral solutions for mode⁃I cracked specimens under plane strain and plane stress

Ziye FENG, Lixun CAI(), Simiao YU   

  1. School of Mechanics and Aerospace Engineering,Southwest Jiaotong University,Chengdu 610031,China
  • Received:2022-06-22 Revised:2022-08-02 Accepted:2022-09-30 Online:2023-06-25 Published:2022-10-26
  • Contact: Lixun CAI E-mail:lix_cai@263.net
  • Supported by:
    National Natural Science Foundation of China(11872320)

Abstract:

J-integral is used to characterize the degree of stress and strain field at the tip of mode-I crack, and to determine the initial elastic-plastic fracture toughness and extended fracture toughness (J-resistance curves) of the material under crack initiation and quasi-static propagation. Based on energy density equivalence, a semi-analytical energy model is proposed to describe the relationship between J-integral, energy, the dimensions and material parameters for a mode-I cracked specimen under plane strain and plane stress. The J-integral-energy relationships of the six specimens for different materials and dimensions predicted by the presented model are in close agreement with the results given by finite element analysis.

Key words: J-integral, mode-I crack, elastoplasticity, plane strain, plane stress

CLC Number: