CHEN Chang-rong. On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces[J]. Applied Mathematics and Mechanics, 2014, 35(9): 979-985. doi: 10.3879/j.issn.1000-0887.2014.09.004
Citation: CHEN Chang-rong. On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces[J]. Applied Mathematics and Mechanics, 2014, 35(9): 979-985. doi: 10.3879/j.issn.1000-0887.2014.09.004

On the Fracture Modeling Method for Crack Tips Penetrating Elastic Interfaces

doi: 10.3879/j.issn.1000-0887.2014.09.004
Funds:  The National Natural Science Foundation of China(51175321)
  • Received Date: 2014-03-10
  • Rev Recd Date: 2014-05-05
  • Publish Date: 2014-09-15
  • The theoretical defects of the linear elastic fracture mechanics in modeling crack tips passing through elastic interfaces were analyzed; for an idealized layered material, the cohesive zone model was applied to study the effects of the material cohesive strength ahead of the interface on the behavior of a crack perpendicularly approaching and penetrating an elastic interface; based on the finite element calculation results, the difference between the cohesive zone model and the linear elastic fracture mechanics in simulating a perpendicular crack near an elastic interface was discussed. The results show that the material cohesive strength ahead of the interface is the key factor causing the simulation difference between the cohesive zone model and the linear elastic fracture mechanics. The study gives the conclusion that, to model the crack growth in complex materials, the strength criterion is needed in addition to the traditional energy-based fracture criterion, and the cohesive zone model theoretically satisfies this requirement.
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