Hybrid finite element for analysis of functionally graded beams

SARITAŞ A., Gurol T., Soydas O.

MECHANICS OF ADVANCED MATERIALS AND STRUCTURES, vol.24, no.3, pp.228-239, 2017 (SCI-Expanded) identifier identifier


A hybrid finite element model is presented, where stiffness and mass distributions over a beam with functionally graded material (FGM) are accurately modeled for both elastic and inelastic material responses. Von Mises and Drucker-Prager plasticity models are implemented for metallic and ceramic parts of FGM, respectively. Three-dimensional stress-strain relations are solved by a general closest point projection algorithm, and then condensed to the dimensions of the beam element. Numerical examples and verification studies on a proposed element demonstrate accuracy and robustness under inelastic material response as well as capturing fundamental, higher, and mix modes of vibration frequencies and shapes.