Buckling of cracked functionally graded plates under tension

• Study of buckling of FGM plates with a central crack.
• Study of buckling in cracked plates under uni-axial and bi-axial tension.
• Use of a special formulation for elements surrounding crack tips.
• Pre-buckling solution of cracked plate.
• Investigation of effect of plate dimensions and material properties on critical load.

Buckling of functionally graded cracked plates under tension has not been investigated so far. In this paper critical buckling load of functionally graded plates containing a crack has been obtained using classical plate theory through the finite element method. Displacement in vicinity of crack tips has been approximated using previous solutions related to bending of cracked plates. Effect on buckling of plate under uni-axial and bi-axial tension of different parameters, such as plate dimensions and material properties, are studied. Results show that the critical load decreases as material gradient index increases, while bi-axial loading leads to higher critical loads compared to uni-axial case.

This figure shows first mode of buckling of a cracked FGM plate under uniaxial tension along with the graph of critical load versus crack length to plate width ratio.Figure optionsDownload as PowerPoint slide