@Article{icces.2023.08941,
AUTHOR = {Zhaoyang Ma, Qingda Yang, Xingming Guo},
TITLE = {A	Local	to	Global	(L2G)	Finite	Element	Method	for	Efficient	and	Robust	 Analysis	of	Arbitrary	Cracking	in	2D	Solids},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {26},
YEAR = {2023},
NUMBER = {2},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v26n2/53905},
ISSN = {1933-2815},
ABSTRACT = {P This	paper	presents	and	validates	a	new	local	to	global	(L2G)	FEM	approach	that	can	analyze	multiple,	
interactive	fracture	processes	in	2D	solids	with	improved	numerical	efficiency	and	robustness.	The	method	
features:	 1)	 forming	 local	 problems	 for	 individual	 and	 interactive	 cracks;	 and	 2)	 parallel	 solving	 local	
problems	 and	 returning	 local	 solutions	 as	 part	 of	 the	 trial	 solution	 for	 global	 iteration.	 It	 has	 been	
demonstrated	analytically	(through	a	simple	1D	problem)	and	numerically	(through	several	benchmarking	
examples)	 that,	 the	 proposed	 method	 can	 substantially	 improve	 the	 robustness	 of	 the	 global	 solution	
process	 and	 significantly	 reduce	 the	 costly	 global	 iteration	 for	 convergence.	 The	 demonstrated	
improvement	in	numerical	efficiency	is	up	to	20	∼ 40%	for	mildly	unstable	problems.	For	problems	with	
severely	 unstable	 crack	 initiation	 and	 propagation,	 the	 improvement	 can	 be	 more	 significant.	 This	 new	
method	is	readily	applicable	to	other	popular	methods	such	as	the	extended	FEM	(X-FEM),	Augmented	FEM	
(A-FEM)	and	Phantom-node	method	(PNM).},
DOI = {10.32604/icces.2023.08941}
}