SELF-SIMILAR SOLUTION TO THE PROBLEM OF MIXED DEFORMATION OF PLATE WITH A CRACK TIP IN A DAMAGED MEDIUM

In the article asymptotic solution of the problem of defining of stressed state of strain and field of continousness in the neighbourhood of crack tip in the sample which is in state of mixed deformation is received. On the basis of self-similar presentation of solution and hypothesis about the formation of area fully defragmentated material near the crack tip, the distribution of strains, speed of deformation and continuousness of a stationary crack in a damaged medium at full range of mixed forms deformation (from simple share to normal fracture) is obtained. Highest approximations in asymptotic resolution of fields of strain, speed of deformation of creep and continuous are obtained.

stressed state of strain near the crack tip, sedate determining law, mixed deformation, method of eigenfunction expansion, nonlinear problem on eigenvalues, nonlinear problem on eigen functions, damage, parameter of damage