@Article{icces.2023.09020,
AUTHOR = {Ke Liang, Zhen Yin, Zheng Li, Jiaqi	Mu},
TITLE = {Thermal-Mechanical	Buckling	and	Postbuckling	Analysis	of	Thin-Walled	 Structures	Using	a	Reduced	Order	Method},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {26},
YEAR = {2023},
NUMBER = {2},
PAGES = {1--2},
URL = {http://www.techscience.com/icces/v26n2/53908},
ISSN = {1933-2815},
ABSTRACT = {Thermal-mechanical	buckling	has	become	one	of	the	major	failure	modes	of	thin-walled	structures	which	
suffer	 from	 the	 high	 temperature	 service	 environment.	 These	 structures,	 such	 as	 plates	 and	 shells,	 are	
commonly	 involved	 in	 many	 branches	 of	 engineering,	 especially	 for	 the	 aerospace	 structures.	 Thermalmechanical	buckling	analysis	plays	an	important	role	for	lightweight	design	of	aircrafts	and	launch	vehicles,	
which	 significantly	 influences	 the	 load-carrying	 capability	 of	 the	 structure.	 Geometrical	 nonlinearities	
should	be	well	considered	to	determine	an	accurate	value	of	the	critical	buckling	temperature/load	as	well	
as	the	postbuckling	response.<br/>
In	this	work,	a	reduced-order	method	is	proposed	for	geometrically	nonlinear	thermal-mechanical	analysis	
of	 thin-walled	 structures.	 The	initial	 temperature	 field	is	 converted	into	 a	 thermal	load	imposed	 on	 the	
structure.	 The	 thermal	 load	is	 treated	 as	 an	independently	 unchanged	 load	 corresponding	 to	 the	initial	
temperature	 field.	 The	 internal	 force	 space	 is	 expanded	 using	 the	 mechanical	 load,	 thermal	 load	 and	
predefined	perturbation	loads.	The	thermal-mechanical	reduced-order	model	is	constructed	using	the	first	
to	 fourth-order	 derivatives	 of	 strain	energy	with	 thermal	effects	in	 terms	 of	 the	 degrees	 of	 freedom.	An	
additional	degree	of	freedom	related	to	the	thermal	load	appears	in	the	construction	of	reduced-order	model	
based	on	the	novel	Koiter	theory.	A	path-following	scheme	is	proposed	to	make	the	method	able	to	trace	the	
entire	geometrically	nonlinear	thermoelastic	response.	A	much	larger	step	size	can	be	achieved	benefiting	
from	the	favorable	prediction	of	the	reduced-order	model,	compared	to	the	classical	Newton-like	methods.	
Various	numerical	results	have	been	used	to	validate	the	excellent	performance	of	the	proposed	method	in	
thermal-mechanical	buckling	analysis [1,2].},
DOI = {10.32604/icces.2023.09020}
}