Mode II Fracture of Functionally Graded Beams Exhibiting Material Non-Lynearity

Abstract:

A non-linear analysis of the mode II fracture in functionally graded materials was developed by using a beam configuration with two longitudinal cracks located symmetrically with respect to the centroid. The beam mechanical behaviour was described by a non-linear stress-strain relation. The non-linear fracture was studied by the J-integral approach. An analysis of the strain energy release rate was conducted with considering the material non-linearity in order to verify the J-integral non-linear analytical solution derived. The solution obtained is very convenient for parametric studies of mode II fracture in functionally graded beams exhibiting material non-linearity. The effects of material properties and crack location along the beam height on the non-linear fracture were evaluated. The results can be used for optimization of the beam structures with respect to the fracture performance.

• Periodical: Applied Mechanics and Materials (Volume 863)
• Pages: 317-322
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.863.317
• Online since: February 2017
• Authors: Victor Iliev Rizov*
• Keywords: Analytical Solution, Functionally Graded Beam, Material Non-Linearity, Mode II Fracture

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