Evaluation of stress intensity factors in functionally graded plate under mechanical and thermal loadings

The analysis of FGM structures requires the implementation of sophisticated mechanical behavior simulation tools, and the interaction between design and manufacturing and the risks associated with cracks play an important role in understanding the mechanical behavior of crack structures. The effect of cracking on the functional gradient plate was studied in this research. In our study and for damage tolerance insurance, the stress intensity factor was determined for the purpose of predicting the behavior of cracked structures similar to the examples studied i.e. type of combination of FGM materials, type of applied load and type of crack, the numerical evaluation of this factor is determined using the displacement extrapolation technique (DET) and the generalized displacement correlation method (GDC) in an APDL (Ansys Parametric Design Language) numerical code to prove the evolution, the continuous variations of the material properties are incorporated by specified parameters at the centroid of each element. The crack growth paths with different FGM gradient parameters under mechanical and thermal loads are investigated and compared with reference solutions. The current DET, GDC, and reference solution results are in good agreement.