PSI - Issue 14

Sanjeev M Kavale et al. / Procedia Structural Integrity 14 (2019) 584–596 Sanjeev M. Kavale, Krishnaraja G Kodancha, Nagaraj Ekbote / Structural Integrity Procedia 00 (2018) 000–000

595

12

For SENB specimen,

106.680155 146.946257 - 45.881916 66.954326 - 0.794286 170.322490 - 264.614548 75.574378 - 150.651244 1.439849 - 45.577012 120.644408 - 24.124343 119.248995 - 0.675662 15.595854 8.867699 3.758715 44.831306 0.073609 - 0.9621885 4.858874 - 0.743616 9.638561 - 0.029564

1

D D D D D

       

       

       

       

       

       

0



1

2

D





  

2

3

3

4

4

The generated polynomials are validated with the FE analyses done by Kudari and Kodancha (2017) and Kodancha (2012). An error of 4.89% and 12.7% is observed in the magnitudes of T 11 for CT and SENB specimen respectively. Whilst, an error of 5.6% and 6.3% is observed in the magnitudes of T 33 for CT and SENB specimen respectively. Variation of normalized K I(max) and corresponding T 11(max) and T 33(max) at the center for a/W = 0.50 and B/W = 0.50 for SENB and CT specimens for same applied stress over different Poisson’s ratio are shown in the Fig. 15. It can be observed that CT specimen offers higher magnitudes of K I(max) and T 11(max) than SENB specimen for increasing Poisson’s ratio, while SENB specimen offers higher magnitudes of T 33(max) than CT specimen for increasing Poisson’s ratio.

Normalised K I(max) , SENB Normalised K I(max) , CT Normalised T 11(max) , SENB Normalised T 11(max) , CT Normalised T 33(max) , SENB Normalised T 33(max) , CT

1.6

1.2

-1.2 Normalised K I(max) , T 11(max) , T 33(max) -0.8 -0.4 0.0 0.4 0.8

a/W=0.50 B/W=0.50

0.20 0.25 0.30 0.35 0.40 0.45

Poisson's Ratio

Fig. 15 Variation of normalized K I(max) , T 11(max) and T 33(max) for different Poisson's ratio for CT and SENB specimens for same applied stress σ =100 MPa

4. Conclusions A detailed 2D and 3D analyses are conducted on Single Edge Notch Bend (SENB) and Compact Tension (CT) specimen to study the effect of thickness and Poisson’s ratio on Stress Intensity Factor ( K I ), T 11 -Stress and T 33 -Stress for a/W =0.50. It has been observed from the 2D study that there is no effect of Poisson’s ratio on K I and T 11 -Stress. However by 3D study it has been observed that both Poisson’s ratio and specimen thickness have effect on the magnitudes of K I and T ij -Stress. In both, SENB and CT specimens, the maximum magnitudes of K I is observed at the center of the specimen. It is also observed that the magnitude of K I increases with the increase in Poisson’s ratio of the specimen. Due to higher out of plane constraint the material at the center of the specimen thickness may fail earlier than that on the surface.