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Delamination fracture analysis of an elastic-plastic functionally graded multilayered beam
Abstract
Background: A theoretical study was performed of mode II delamination in a multilayered functionally graded beam
configuration with considering the material non-linearity.
Methods: The fracture was analysed by the J-integral approach. Two laws (quadratic and exponential) for variation of
the modulus of elasticity along the beam height were applied. The J-integral closed form non-linear analytical solutions
derived were verified by performing analyses of the strain energy release rate with taking into account the material
non-linearity. Parametric investigations of mode II non-linear fracture were conducted.
Results: It was found that material non-linearity leads to increase of the J-integral value. Therefore, the non-linear
behaviour of material has to be taken into account in fracture mechanics-based safety design of functionally graded
structural members.
Conclusions: The present paper contributes to the understanding of non-linear fracture in functionally graded
materials. The results obtained can be used for optimization of functionally graded beam structures with respect to the
fracture performance.
Keywords: Functionally graded beam, Material non-linearity, Delamination fracture, Analytical approach
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