Static and Dynamic Buckling of Rectangular Functionally Graded Plates Subjected to Thermal Loading

Abstract

Ëîäçèíñêèé òåõíè÷åñêèé óíèâåðñèòåò, Ëîäçü, ÏîëüøàÏðåäñòàâëåíî ÿâëåíèå ïîòåðè óñòîé÷èâîñòè ïðè ñòàòè÷åñêîé è äèíàìè÷åñêîé íàãðóçêå (èìïóëüñ êîíå÷íîé äëèòåëüíîñòè) ôóíêöèîíàëüíî-ãðàäèåíòíûõ ïëàñòèí, ïîäâåðaeåííûõ âîçäåéñòâèþ ðàâíîìåðíîãî ïîâûøåíèÿ òåìïåðàòóðû. Ðàññìîòðåíû øàðíèðíî îïåðòûå èëè çàêðåïëåííûå (âäîëü êðîìîê) òîíêèå ïðÿìîóãîëüíûå ïëàñòèíû ñ íåïîäâèaeíûìè êðîìêàìè. Ïðåäïîëàãàåòñÿ, ÷òî ñâîéñòâà ìàòåðèàëà, ïëàâíî èçìåíÿþùèåñÿ ïî òîëùèíå, íå çàâèñÿò îò òåìïåðàòóðû. Ïðîâåäåíû èññëåäîâàíèÿ äëÿ ðàçíûõ çíà÷åíèé êîýôôèöèåíòà îòíîñèòåëüíîãî îáúåìà è ðàâíîìåðíîãî ïðèðàùåíèÿ òåìïåðàòóðû, ïðåäñòàâëåííîãî â âèäå ïðÿìîóãîëüíîãî èìïóëüñà êîíå÷íîé äëèòåëüíîñòè.Êëþ÷åâûå ñëîâà: äèíàìè÷åñêîå âûïó÷èâàíèå, ôóíêöèîíàëüíî-ãðàäèåíòíûå ïëàñòèíû, òåïëîâàÿ íàãðóçêà.Introduction. Known since 1984 functionally graded materials (FGM) very soon became popular in scientific research and engineering applications. Typical FGM is an inhomogeneous composite made up of two constituents -typically of metallic and ceramic phases which relative content changes gradually across the thickness of a plate or a shell. This eliminates the adverse effects between the layers (e.g., shear stress concentrations and/or thermal stress concentrations), typical for layered composites. The high-resistance heat capacity of ceramic and good mechanical properties of metal phase make that the leading application area of FGM structures are high-temperature environments (spacecraft, nuclear reactors or structures for the chemical industry and defence) [1,2].Nonlinear analysis of plates and shells devoted to basic types of loads is covered in Shen monograph [2]. He considered static bending and thermal bending as an introduction to buckling and postbuckling behaviour of FGM plates and shells. The shear deformation effect is employed in the framework of Reddy's higher order shear deformation theory (HSDT).

The Collapse of Titanium C-Column due to Thermal Compression

“…Tests of one-directional tension on metallic samples were conducted in high temperature in references [ 19 , 20 , 21 , 22 ], among others. There are many papers based on theoretical approach of thermal analysis on structures whose accomplishments are included in [ 23 , 24 , 25 , 26 , 27 , 28 , 29 ]. Theoretical or/and experimental studies involving the pre- and post-buckling state of thin-walled structures were widely discussed in [ 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 , 39 ].…”

The Buckling and Post-Buckling of Steel C-Columns in Elevated Temperature

“…The present paper deals with the post-buckling state of thin-walled open columns under compression due to temperature rise. The edges of columns during tests were inserted into grooves of the plates to reflect the articulated supports often used in the literature [20][21][22]. The experimental studies were executed until the drop of the compression force (maximum value of the load is often called the load carrying capacity).…”

Analysis of the Functionally Step-Variable Graded Plate Under In-Plane Compression

“…Such results of buckling and post-buckling of the FGM plate under mechanical loads were included in references [10][11][12][13][14][15][16][17] or were developed for plate structures in reference [18][19][20]. Analyses of natural vibrations of FGM structures were reported in references [21][22][23]. Other works were focused on the investigation of the structure behavior under static or dynamic thermal loads [24][25][26][27].…”