TY  - EJOU
AU  - Zhang, Mengnan 
AU  - Tian, Fucheng 

TI  - Extension	of	Ordinary	State-Based	Peridynamic	Model	for	Nonlinear	 Analysis
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2023
VL  - 26
IS  - 4
SN  - 1933-2815

AB  - Peridynamic	is	a	 nonlocal	 theory	 that	 uses	integral	 forms	 of	governing	equations,	making	it	 suitable	 for	
describing	objects	with	discontinuous	states	such	as	cracks.	After	more	than	two	decades	of	development,	
peridynamic	 has	 been	 effectively	 applied	 to	 numerous	 solid	mechanics	 studies.	However,	in	 the	 field	 of	
ordinary	state-based	peridynamic	modeling	nonlinear	deformation,	a	more	comprehensive	model	that	can	
establish	a	general	connection	with	continuum	mechanics	and	allow	for	the	selection	of	different	influence	
functions	 is	 still	 lacking.	 As	 a	 consequence,	 a	 further	 extension	 to	 existing	 models	 is	 promising,	 and	 it	
represents	a	substantial	addition	 to	 the	current	peridynamic	model.	 In	 this	study,	an	extended	model	of	
ordinary	state-based	peridynamic	for	nonlinear	analysis	is	constructed,	along	with	the	basic	definition	of	
nonlinear	 peridynamic	 volumetric	 strain,	 and	 strain	 energy	 function.	 Based	 on	 the	 principle	 of	 virtual	
displacement,	the	complete	derivations	of	the	peridynamic	parameters	are	presented	for	two-dimensional	
and	three-dimensional	conditions.	After	that,	the	specific	numerical	scheme	and	algorithm	implementation	
are	 summarized.	 Its	 capability	 and	 accuracy	 are	 shown	 by	 contrasting	 the	 proposed	 nonlinear	 model's	
predictions	 of	 film	 tensile	 fracture	 with	 experimental	 observations.	 Finally,	 several	 other	 numerical	
examples	 are	 provided	 to	 demonstrate	 further	 the	 applicability	 of	 the	 proposed	 model	 and	 its	
implementation.
KW  - Nonlinear	analysis;	peridynamic;	finite	deformation;	fracture	simulation

DO  - 10.32604/icces.2023.09593