On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load

V. N. Lapin, A. A. Fomina

Research output: Contribution to journalArticlepeer-review


Validation is carried out of the previously proposed implicit criterion for choosing the direction of a fracture propagation under the complex loading characterized by the presence of all three modes of the stress intensity factors KI, KII, and KIII. The criterion is based on the principle of local symmetry according to which the fracture propagates in the direction providing the zero values of the factors of both mixed modes KII and KIII. Since in the general case the two conditions cannot be satisfied simultaneously, the criterion is formulated as a minimization problem for a functional that contains the sum of the values of the mixed modes integrated along the entire front of the fracture. The formulation of the criterion includes some parameter that describes the effect of each of the mixed modes; the value of this parameter should be chosen by using the experimental data. Based on two fracture propagation experiments with complex mixed loading, validation of the criterion is carried out and some estimates are given for the interval of the best value of the weight parameter.

Original languageEnglish
Pages (from-to)653-662
Number of pages10
JournalJournal of Applied and Industrial Mathematics
Issue number4
Publication statusPublished - 1 Oct 2019


  • fracture growth criterion
  • mixed loading


Dive into the research topics of 'On the Global Implicit Criterion of a Fracture Propagation Under Mixed Load'. Together they form a unique fingerprint.

Cite this