Complex dynamics of functionally graded plates with thermal load in 1:2 internal resonance (Q987286)

Functionally graded (FG) materials are always composed of two or more kinds of different materials, every one has its own characteristics. In results of Reddy's third order shear deformation theory and von Karman nonlinear strain-displacements relations application the authors derive non-dimensional governing ODEs of transversal oscillations of the simply-supported FG rectangular plate subjected to thermal load at the usage of Hamilton principle and Galerkin method. For the obtained dynamic model based on the \textit{J. Porter} and \textit{E. Knobloch} [Physica D 201, 318-344 (2005; Zbl 1082.37054)] results solutions classification is discussed. Effects of temperature rise and volume fraction on the bifurcating solutions and their stability are analyzed.