Dynamic buckling of suddenly heated or compressed FGM beams resting on nonlinear elastic foundation

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

“…According to review of the literature, it appears that most researches related to non-linear elastic foundation are about analysis of beams resting on non-linear elastic foundation [114][115][116][117][118]. Studies related to analysis of plates on non-linear elastic foundation are, however, scarce in comparison with those available on beams.…”

Nonlinear thermal dynamic buckling of FGM beams

“…Ma an Lee [17] also examined the thermal stability and vibration M A N U S C R I P T A C C E P T E D ACCEPTED MANUSCRIPT of thermally post-buckled behavior of FGM beams suitable for moderately thick beams. Present authors analyzed the static and dynamic limit load type of buckling in an FGM beam resting on non-linear softening elastic foundation [18]. Only the case of a beam with both edges clamped is investigated.…”

Dynamic buckling of an imperfect elastoplastic beam subjected to an impulsive load analyzed using transport equations

“…Extensive researches have been undertaken on the static and dynamic buckling behavior of structures under various boundary and loading conditions . Static and dynamic buckling analysis were investigated in various structures such as columns [8][9][10][11][12][13][14][15] and beams [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]. For example, using the Galerkin technique, the dynamic buckling of elastic plastic imperfect beams under compressive axial forces has been studied by Lepik [21][22][23][24][25].…”