
@Article{icces.2023.09336,
AUTHOR = {Shourong Hao, Yongxing Shen},
TITLE = {An	Efficient	Solution	Strategy	for	Phase	Field	Model	of	Dynamic	Fracture	 Problems	Based	on	Domain	Decomposition},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {25},
YEAR = {2023},
NUMBER = {4},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v25n4/53879},
ISSN = {1933-2815},
ABSTRACT = {Dynamic	fracture	is	an	important	class	of	damage	widely	present	in	engineering	materials	and	structures,	
e.g.,	 high-speed	impact	and	explosion.	 In	 recent	 years,	 the	 phase	 field	approach	 to	 fracture	 proposed	 by	
Bourdin	 et	 al.	 [1]	 becomes	 popular	 for	 complicated	 fracture	 problems	 for	 its	 ability	 to	 simulate	 crack	
nucleation,	propagation,	branching,	and	merging	without	extra	criteria,	and	the	crack	path	does	not	need	to	
be	tracked,	which	makes	the	implementation	straightforward	and	the	calculation	efficient.	However,	one	of	
the	major	issues	of	the	phase	field	method	is	the	high	computational	cost	due	to	the	need	of	a	very	fine	mesh,	
which	usually	limits	its	applications.	<br/>
In	this	work,	we	propose	an	efficient	parallel	solution	strategy	 for	phase	 field	model	of	dynamic	 fracture	
problems	based	on	a	domain	decomposition	method,	specifically,	the	dual-primal	finite	element	tearing	and	
interconnecting	 (FETI-DP)	 method	 proposed	 by	 Farhat	 et	 al.	 [2].	 The	 whole	 computational	 domain	 is	
decomposed	 into	 multiple	 non-overlapping	 subdomains.	 A	 coupled	 parallel	 explicit-implicit	 solution	
strategy	is	proposed,	where	the	displacement	field	is	updated	in	parallel	between	subdomains	by	an	explicit	
scheme,	and	 the	phase	 field	is	 reformulated	in	 the	domain	decomposition	 framework	and	 solved	 by	 the	
FETI-DP	method	in	 parallel.	 In	 the	 computational	 process,	 there	is	merely	 a	little	information	 exchange	
between	 subdomains,	which	 significantly	improves	 efficiency.	Moreover,	 the	 solution	 strategy	is	 able	 to	
solve	large	 scale	 phase field	 simulations	 with	implicit	 scheme,	 and	 has	 flexible	 extensibility	 for	 existing	
phase	field	codes.	It	is	expected	that	excellent	performance	can	be	achieved	by	the	proposed	method	without	
the	loss	of	accuracy.},
DOI = {10.32604/icces.2023.09336}
}



