Journal of Theoretical
and Applied Mechanics
0, 0, pp. , Warsaw 0

Non-linear fracture analysis of functionally graded four point bend beams

Victor Rizov
Delamination fracture was studied theoretically in the Four Point Bend (FPB) functionally graded beam exhibiting material non-linearity. Fracture was analyzed by applying the J-integral approach. It was assumed that the material is functionally graded along the beam height. An analytical solution of the J-integral was derived for a delamination crack located arbitrary along the FPB beam height. The solution was verified by analyzing the strain energy release rate with considering the material non-linearity. The analytical solution obtained is very useful for parametric investigations, since the simple equation derived captures the essentials of non-linear fracture in the FPB functionally graded beam.
Keywords: Material non-linearity; Functionally graded beam; Fracture; Analytical solution

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