@Article{icces.2023.09207,
AUTHOR = {Shuo Yang, Yongxing Shen},
TITLE = {An	Acceleration	Scheme	for the	Phase	Field	Fatigue	Fracture	Simulation	 with	a Concurrent	Temporal	Homogenization	Method},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {26},
YEAR = {2023},
NUMBER = {4},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v26n4/54078},
ISSN = {1933-2815},
ABSTRACT = {Fatigue	refers	to	repeated	cyclic	loading	well	below	the	ultimate	failure	stress	of	the	structure.	It	accounts	
for	most	mechanical	failures,	and	thus	deserves	serious	consideration	in	engineering	practice. Phase	field	
approach	is	a	powerful	 tool	 for	 fracture	 simulation,	which	 tracks arbitrary	and	complicated crack	paths
without	extra	criterion.	This	approach	has	been	widely	applied	to	various	cracking	problems,	such as	shell	
fracture,	beam	fracture ,	etc. The	phase	field	approach	for	fracture	has	been	adapted	for	fatigue	fracture	in	
recent	years.	Due	to	the	mesh	requirement	of	the	phase	field	approach	and	the	large	amount	of	load	steps	of	
the	fatigue	problem,	such	simulations	are time-consuming.	Therefore,	the	acceleration	for	fatigue	simulation	
with	phase	field	approach	is	a	developing	research	area.<br/>
In	 this	 work,	 we	 propose	 an	 efficient	 acceleration	 scheme	 for	 this	 approach	 based	 on	 a	 time-scale	
homogenization	 theory.	 In	 this	 scheme,	 the	 original	 fatigue	 fracture	 problem	 is	 decomposed	 into	 a	
macrochronological	 problem	 and	 a	 microchronological	 problem,	 and	 is	 accelerated	 with	 the	 time	 steps	
adaptively	 skipped.	The	 properties,	 such	as	efficiency	and	accuracy,	 of	 this	 scheme	are	 showcased.	This	
scheme	is	able	to	successfully	improve	the	efficiency	of	fatigue	fracture	simulations	without	sacrificing	much	
accuracy,	 and	 can	 be	 up	 to	 16 times	 faster	 than	 direct	 numerical	 simulations	 in	 some	 cases,	 which	 is	
demonstrated	by	numerical	examples.},
DOI = {10.32604/icces.2023.09207}
}