TY  - EJOU
AU  - Su, Haibo 
AU  - Wang, Liang 

TI  - A	Double-Phase-Field	Model	for	the	Cohesive	Failure	Modelling in	 Laminated	Composite Materials
T2  - The International Conference on Computational \& Experimental Engineering and Sciences

PY  - 2023
VL  - 26
IS  - 2
SN  - 1933-2815

AB  - This	work	presents	a	novel	double-phase-field	formulation to	characterize	the	distinct	damage	mechanisms	
and	the	mixed-mode cohesive	fracture	behaviors	in	fiber-reinforced	composites (FRC). A	hybrid	phase	field	
formulation	is	first	proposed to	derive	the	phase	field	and	stress	through	distinct	energy	functionals. Then,	
the	 phase	 field	 degradation	 function	 and	material	 damaged	 stiffness	 are	 properly	 defined	 based	 on	 the	
unique	failure	mechanisms,	which	enable	the	derivation	of	the	embedded Hashin	failure	criteria	for	fiber	
and	matrix	failures in	FRC respectively.	Furthermore,	the	mixed-model	cohesive	law	with	linear	softening	is	
analytically	derived within	the	phase	field	framework	and	is	validated	by	the	numerical	results	of	composite	
bar	under	off-axial	traction. Finally,	the	standard	MMB	tests	are	simulated to validate	the model in	modelling
the mixed-mode	fractures	in	FRC. The	distinct	advantage	of	the	proposed	mode	is	that	it	predicts	an	accurate	
mixed-mode fracture toughness	without	 the	 need	 of	 any	 ad	 hoc	 model	 parameters	 as	 compared	 to	 the	
classical	B-K	law. The	numerical	results	presented	here	demonstrate the	capability of	the	proposed	model	
in predicting qualitatively	and	quantitatively	the	mixed-mode	fracture	behaviors in	FRC.
KW  - Mixed-mode	fracture; multi	phase-field;	cohesive	fracture;	fiber-reinforced	composites

DO  - 10.32604/icces.2023.09611