@Article{icces.2023.09135,
AUTHOR = {Zeyuan Zhou, Ming Yu, Zaixing Huang},
TITLE = {Peridynamic Analysis	on	Failure	of	Cantilever	Beam	Subjected	to	a	 Concentrated	Force	and	Uniform	Distributed	Traction},
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/v26n4/54068},
ISSN = {1933-2815},
ABSTRACT = {Peridynamics	 (PD)	 is	 a	 reformulation	 of	 the	 classical	 continuum	 mechanics.	 Its	 core	 consists	 in	 that	 a	
weighted	integral	of	relative	displacement	over	a	spatial	domain	is	used	instead	of	the	spatial	derivative	of	
displacement	in	governing	equations	of	deformation.	Based	on	an	improved	technique	of	exerting	traction	
on	boundary	surface, an	improved	peridynamic	motion	equation	has	been	proposed	within	the	framework	
of	the	peridynamic(PD)	theory.	It	is	more	natural	and	easier	to	deal	with	boundary	conditions	for	the	elastic	
deformation	and	fracture	analysis.	Under	the	enhancement	effect	in	the	constructed	transfer	functions	of	
boundary	traction,	there	is	not	needed	the	surface	correction	technique	due	to	the	material	points	closed	to	
the	 boundary	 surface	 is	 the incompleteness	 horizon	 in	 the	 numerical	 algorithm.	 Following	 the	 new	
peridynamic	motion	equation,	we	 calculate	 the deflection	and	 fracture	of	a	 cantilever	 beam	 subject	 to	a	
concentrated	 force	 at	 the	 free	 end and	 uniform	 distributed	 traction	 on	 the	 upper	 side.	 The	 acquired	
numerical	solutions	are	close	to	the	analytical	solutions	of	elasticity	and	numerical	solutions	given	by	the	
finite	 element	method.	 The	 results	 show	 that	 the	improved	 technique	 of	 exerting	 traction	 on	 boundary	
surface	is	valid	for	calculating	the	deformation	and	failure	of	solid.	It	provides	a	new	method	and	path	for	
the	analysis	of	traction	boundary	value	problems	in	peridynamics.},
DOI = {10.32604/icces.2023.09135}
}