On the buckling behavior of multi-cracked FGM plates

In this paper, a model of statically stability plate with crack-based finite element analysis will be introduced by numerical simulation computation. The simulation model was built based on phase field theory in mechanics of fracture; the case study of plate was significantly computed with the new third-order shear deformation plate theory (TSDT), which is derived from an elasticity formulation, rather by the hypothesis of displacements [1]. Importantly, to verify of reliability of the modeling computation theory, the simulation result was compared to the experiment of Seifi and Nafiseh [2] to ensure the essential reliability for the paper. After that, the authors also propose and test the effects due to the size, the declination of cracks as well as the thickness of the plate to the stability, additionally, the relation between number of cracks and buckling load involved to instability of plate will be discussed. Lastly, visual configurations about forms of instability of plate with cracks will be presented. © 2018, Springer Nature Singapore Pte Ltd.