Thermomechanical Postbuckling of Plates and Shells Incorporating Non-Classical Effects

Topology of the Four-Mode Strain Energy of Thermally Buckling Plates

“…Nonetheless, f tg brings about asymmetry in the strain energy, which therefore indicates a signi®cant qualitative change in plate dynamics. It must be pointed out that the so-called initial geometric imperfection also engenders an asymmetric strain energy [37], and Librescu and Lin [7] recently documented the initial geometric imperfection e ects in plate and shell structures under thermomechanical loading.…”

“…The ®rst is a constant temperature rise above the reference (room) temperature; the second is a local temperature variation on the midplate to be superimposed on the ®rst; and the third is a linear temperature gradient across the plate thickness, consistent with the Kirchho ±Love hypothesis [5,6]. Clearly, the heated plate equations provide a framework to deal with the dual thermal and mechanical, or for short thermomechanical , loads [7,8]. In aerospace engineering applications, however, there emerge two distinct disciplines of panel utter [9,10] and sonic fatigue [11,12] from the choice of externally applied pressure ®elds.…”