@Article{icces.2022.08813,
AUTHOR = {Zhiheng Luo, Lin Chen, Nan Wang, Bin Li},
TITLE = {A	Phase-Field	Fracture	Model	for	Brittle	Anisotropic	Materials},
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/v25n4/53862},
ISSN = {1933-2815},
ABSTRACT = {Anisotropy	 is	 inherent	 in	 many	 materials,	 either	 because	 of	 the	 manufacturing	 process,	 or	 due	 to	 their	
microstructure,	and	can	markedly	influence	the	failure	behavior.	Anisotropic	materials	obviously	possess
both	 anisotropic	 elasticity	 and	 anisotropic	 fracture	 surface	 energy.	 Phase-field	methods	 are	 elegant	 and	
mathematically	well-grounded,	and	have	become	popular	 for	simulating	isotropic	and	anisotropic	brittle	
fracture.	 Here,	 we	 developed	 a	 variational	 phase-field	 model	 for	 strongly	 anisotropic	 fracture,	 which	
accounts	for	the	anisotropy	both	in	elastic	strain	energy	and	in	fracture	surface	energy,	and	the	asymmetric	
behavior	of	cracks	in	traction	and	in	compression.	We	implement	numerically	our	higher-order phase-field	
model	with	mixed	finite	element,	inspired	by	formulations	for	plate/shell	elements,	where	similar	continuity	
requirements	exist.	For	strongly	anisotropic	materials,	as	 reported	in	 the	 recent	experiments,	 one	could	
obtain	several	crack	propagation	directions	for	a	given	loading	configuration,	depending	on	imperfections	
of	the	initial	crack.	From	an	energy	point	of	view,	the	selection	of	crack	propagation	direction	is	dictated	by	
local	 principle	 of	 the	 generalized	 maximum	 energy	 release	 rate.	 Herein,	 for	 the	 first	 time	 we	 examine	
numerically	this	local	principle,	reproduce	the	crack	behaviors	observed	in	recent	experiments.	Numerical	
simulations	exhibit	all	the	features	of	strongly	anisotropic	fracture.},
DOI = {10.32604/icces.2022.08813}
}