I hope some of you may find this work interesting:
Size effects in elastic-plastic functionally graded materials
Tittu V. Mathew, Sundararajan Natarajan, Emilio Martínez-Pañeda
Composite Structures, 204, pp. 43-51 (2018)
https://www.sciencedirect.com/science/article/pii/S0263822318313928
Hi
I am studying the mechanical response (behavior) of an FGM ( Functionally Graded Material )material that has a varying properties in the x direction according to the following Young's modulus formula
E(x)=E0*exp(ß*x) for: 0<x<L
with: ß the non-homogeneity parameter of the material
This work investigates the existing capabilities and limitations in numerical modeling of fracture problems in functionally graded materials (FGMs) by means of the well-known finite element code ABAQUS. Quasi-static crack initiation and growth in planar FGMs is evaluated. Computational results of fracture parameters are compared to experimental results and good agreement is obtained. The importance of the numerical fit of the elastic properties in the FE model is analyzed in depth by means of a sensitivity study and a novel method is presented.
