**4. Conclusion**

This work aimed at studying the fracture behavior of the Alumina-Tricalcium phosphate. From the main results, the following conclusions can be drawn:

The fracture toughness KIC of the samples contains a crack were assessed using Semi Circular Bending tests. The best fracture properties in terms of fracture

*Combination of Numerical, Experimental and Digital Image Correlation for Mechanical… DOI: http://dx.doi.org/10.5772/intechopen.99357*

toughness, were obtained for Al2O3–10 wt.% TCP composition. The best value is 8.76 MPa m1/2.

The CSTBD specimen is an appropriate test specimen for fracture tests of Ushaped notches particularly when the notch is subjected to pure mode II loading.

The CSTBD specimen was employed for mixed Mode I and II fracture studies. The numerical analysis of Alumina-TCP subjected to static indentation by a spherical indenter was presented. From a CDM based constitutive modeling, the anisotropic damage mechanisms developed in the specimens were examined through the principal (mode I) and shear stresses (mode II). The stress intensity factor under mode I and II of the Alumina-TCP composites increase with the amount of TCP until 10 wt.%.

The initiation and propagation of each crack depends on the type of solicitation. The geometry model used includes a Brazilian disc containing a crack with two different orientations: 0° for tensile mode (mode I), 22° for shear mode (mode II). The predicted directions were found in good agreement with the experimental observations reported in the literature.
