Stability of multi-cracked FG plate on elastic foundations

Recently, the stability calculation of functionally graded (FG) plate has attracted many scientists, especially when considering FG with cracks. In this work, is made from a new generation composite material consisting two components, ceramic and metal, law continuous exponential distribution. The placed on Winkler - Pasternak elastic foundation background parameters. Then, we used third-order shear deformation theory to establish dynamical equations. After applying Phase-Field simulate crack state, applied finite element method solve equations find critical force causing instability plate. Next, investigated influence index, number cracks, length, shape as well parameters stability. results show that length parameter have great Especially, large coefficient, creating high for That very meaningful in exploiting using structure cracks appear.