@Article{icces.2023.09023,
AUTHOR = {Fei Han, Zhibin Li, Jianyu Zhang, Zhiying Liu, Chen Yao, Wenping Han},
TITLE = {A Peridynamics-Based Finite Element Method (PeriFEM) and Its Implementation in Commercial FEM Software for Brittle Fractures},
JOURNAL = {The International Conference on Computational \& Experimental Engineering and Sciences},
VOLUME = {26},
YEAR = {2023},
NUMBER = {3},
PAGES = {1--1},
URL = {http://www.techscience.com/icces/v26n3/54046},
ISSN = {1933-2815},
ABSTRACT = {The	classical	finite	element	method	has	been	successfully	applied	to	many	engineering	problems	but	not	to	
cases	 with	 space	 discontinuity.	 A	 peridynamics-based	 finite	 element	 method	 (PeriFEM)	 is	 presented	
according	 to	 the	 principle	 of	minimum	 potential	 energy,	 which	 enables	 discontinuity.	 First,	 the	integral	
domain	of	peridynamics	is	reconstructed,	and	a	new	 type	of	element	called	peridynamic	element	(PE)	is	
defined.	Although	PEs	are	generated	by	the	continuous	elements	(CEs)	of	classical	FEM,	they	do	not	affect	
each	other.	Then,	spatial	discretization	is	performed	based	on	PEs	and	CEs,	and	the	linear	equations	about	
nodal	displacement	are	established	according	to	the	principle	of	minimum	potential	energy.	Besides,	cracks	
are	 characterized	 by	 the	 degradation	 of	 the	 mechanical	 properties	 of	 PEs.	 Consequently,	 PeriFEM	 is	 a	
reformulation	of	the	traditional	FEM	for	solving	peridynamic	equations	numerically.	It	considers	the	nonlocal	features	of	peridynamics	yet	possesses	the	same	computational	framework	as	the	traditional	FEM.	As	
a	result,	this	implementation	benefits	from	the	consistent	computational	frameworks	of	both	PeriFEM	and	
traditional	 FEM.	 After	 that,	 we	 propose	 the	 first	 unified	 implementation	 strategy	 for	 peridynamics	 in	
commercial	FEM	software packages	based	on	their	application	programming	interface	using	the	PeriFEM.	
Using	ANSYS	and	ABAQUS	as	examples,	we	present	 the	numerical	 results	and	implementation	details	of	
PeriFEM	 in	 commercial	 FEM	 software.	 The	 codes	 integrated	 into	 ANSYS	 and	 ABAQUS	 are	 both	 verified	
through	 benchmark	 examples,	 and	 the	 computational	 convergence	 and	 costs	 are	 compared.	 The	 results	
show	that	ABAQUS	is	more	efficient	for	some	specific	examples,	whereas	the	convergence	criterion	adopted	
in	ANSYS	is	more	robust.	Finally,	3D	examples	are	presented	 to	demonstrate	 the	ability	of	 the	proposed	
approach	to	deal	with	complex	engineering	problems.},
DOI = {10.32604/icces.2023.09023}
}