PSI - Issue 13

4

Author name / Structural Integrity Procedia 00 (2018) 000–000

A. Vshivkov et al. / Procedia Structural Integrity 13 (2018) 1189–1194

1192

B

1.0

0.5

A

1.0

0.5

0.5

1.0

C

0.5

1.0

D

�

�

1.5

Fig. 3. Measured field of strain for uniaxial loading

Fig. 4. Boundary of plastic area.

Table 1. Character size of plastic zone. Numerical, mm Measure, mm

AB AC AD BD

1,20E-01 1,35E-02 1,19E-01 2,18E-01

9,13E-02 3,13E-02 6,98E-02 1,27E-01

4. Results of numerical simulation A numerical simulation of plastic deformation near the crack tip for have been carried out. The estimation of the plastic strain field was carried out using the elastic solution and equation (1) for the strain components ε 11 , ε 12 , ε 22 , maximum shear strain γ , intensity of plastic deformation ε pe (6). Numerical and theoretical calculations were made for four biaxial coefficients (n = 0, 0.5, 0.7, 1). The characteristic deformation fields are shown in figures 5, 6. To compare the theoretical and calculated results, an error was calculated for different strain levels corresponded to the applied load (Fig. 7).

1/2





2

3 2

  2

2

  2

  

  

2 2 2 12 13 23     





(6)



11 22   

11 33  

33 22  



 

 



pe

3

(a) (b) Fig. 5. Plastic strain (n=0, component ε 22 ): (a) by a numerical simulation; (b) analytic solution by equation (1).