An Eulerian model is described that simulates orthogonal cutting of unidirectional fiber-reinforced polymer (FRP) composites. The continuous finite element method (FEM) and the discontinuous Galerkin (DG) method are combined to solve the governing equations. A progressive damage model is implemented to predict subsurface damage in the composite. A correction factor that accounts for fiber curvature is included in the model that incorporates the influence of fiber bending. It was found that fiber orientation has a dominant influence on both the cutting forces and subsurface damage. Good agreement was found between predicted cutting forces and subsurface damage and published experimental observations.

References

References
1.
Rao
,
G. V. G.
,
Mahajan
,
P.
, and
Bhatnagar
,
N.
,
2008
, “
Three-Dimensional Macro-Mechanical Finite Element Model for Machining of Unidirectional-Fiber Reinforced Polymer Composites
,”
Mater. Sci. Eng. A
,
498
(
1–2
), pp.
142
149
.
2.
Phadnis
,
V. A.
,
Makhdum
,
F.
,
Roy
,
A.
, and
Silberschmidt
,
V. V.
,
2013
, “
Drilling in Carbon/Epoxy Composites: Experimental Investigations and Finite Element Implementation
,”
Compos. Part A
,
47
(
1
), pp.
41
51
.
3.
Usui
,
S.
,
Wadell
,
J.
, and
Marusich
,
T.
,
2014
, “
Finite Element Modeling of Carbon Fiber Composite Orthogonal Cutting and Drilling
,”
Procedia CIRP
,
14
, pp.
211
216
.
4.
Santiuste
,
C.
,
Miguelez
,
H.
, and
Soldani
,
X.
,
2011
, “
Out-of-Plane Failure Mechanisms in LFRP Composite Cutting
,”
Compos. Struct.
,
93
(
11
), pp.
2706
2713
.
5.
Bhatnagar
,
N.
,
Nayak
,
D.
,
Singh
,
I.
,
Chouhan
,
H.
, and
Mahajan
,
P.
,
2004
, “
Determination of Machining-Induced Damage Characteristics of Fiber Reinforced Plastic Composite Laminates
,”
Mater. Manuf. Processes
,
19
(
6
), pp.
1009
1023
.
6.
Iliescu
,
D.
,
Gehin
,
D.
,
Iordanoff
,
I.
,
Girot
,
F.
, and
Gutierrez
,
M.
,
2010
, “
A Discrete Element Method for the Simulation´ of CFRP Cutting
,”
Compos. Sci. Technol.
,
70
(
1
), pp.
73
80
.
7.
Nayak
,
D.
, and
Singh
,
I.
,
2004
, “
An Analysis of Machining Induced Damages in FRP Composites a Micromechanics Finite Element Approach
,”
Materials Processing and Design: Modeling, Simulation and Applications
, American Institute of Physics, College Park, MD.
8.
Rao
,
G. V. G.
,
Mahajan
,
P.
, and
Bhatnagar
,
N.
,
2007
, “
Micro-Mechanical Modeling of Machining of FRP Composites Cutting Force Analysis
,”
Compos. Sci. Technol.
,
67
(
3–4
), pp.
579
593
.
9.
Venu Gopala Rao
,
G.
,
Mahajan
,
P.
, and
Bhatnagar
,
N.
,
2007
, “
Machining of UD-GFRP Composites Chip Formation Mechanism
,”
Compos. Sci. Technol.
,
67
(
11–12
), pp.
2271
2281
.
10.
Dandekar
,
C. R.
, and
Shin
,
Y. C.
,
2008
, “
Multiphase Finite Element Modeling of Machining Unidirectional Composites: Prediction of Debonding and Fiber Damage
,”
ASME J. Manuf. Sci. Eng.
,
130
(
5
), p.
051016
.
11.
Calzada
,
K. A.
,
Kapoor
,
S. G.
,
DeVor
,
R. E.
,
Samuel
,
J.
, and
Srivastava
,
A. K.
,
2012
, “
Modeling and Interpretation of Fiber Orientation-Based Failure Mechanisms in Machining of Carbon Fiber-Reinforced Polymer Composites
,”
J. Manuf. Processes
,
14
(
2
), pp.
141
149
.
12.
Abena
,
A.
,
Soo
,
S. L.
, and
Essa
,
K.
,
2015
, “
A Finite Element Simulation for Orthogonal Cutting of UD-CFRP Incorporating a Novel Fibre-Matrix Interface Model
,”
Procedia CIRP
,
31
, pp.
539
544
.
13.
Arola
,
D.
, and
Ramulu
,
M.
,
1997
, “
Orthogonal Cutting of Fiber-Reinforced Composites: A Finite Element Analysis
,”
Int. J. Mech. Sci.
,
39
(
5
), pp.
597
613
.
14.
Daniel
,
I. M.
, and
Ishai
,
O.
,
2005
,
Engineering Mechanics of Composite Materials
,
2nd ed
,
Oxford University Press
,
Oxford, UK
.
15.
Arola
,
D.
,
Sultan
,
M. B.
, and
Ramulu
,
M.
,
2002
, “
Finite Element Modeling of Edge Trimming Fiber Reinforced Plastics
,”
ASME J. Manuf. Sci. Eng.
,
124
(
1
), pp.
32
41
.
16.
Ramesh
,
M. V.
,
Seetharamu
,
K. N.
,
Ganesan
,
N.
, and
Sivakumar
,
M. S.
,
1998
, “
Analysis of Machining of FRPs Using FEM
,”
Int. J. Mach. Tools Manuf.
,
38
(
12
), pp.
1531
1549
.
17.
Mahdi
,
M.
, and
Zhang
,
L.
,
2001
, “
A Finite Element Model for the Orthogonal Cutting of Fiber-Reinforced Composite Materials
,”
J. Mater. Process. Technol.
,
113
(
1–3
), pp.
373
377
.
18.
Nayak
,
D.
,
Bhatnagar
,
N.
, and
Mahajan
,
P.
,
2005
, “
Machining Studies of Ud-Frp Composites—Part 2: Finite Element Analysis
,”
Mach. Sci. Technol.
,
9
(
4
), pp.
503
528
.
19.
Lasri
,
L.
,
Nouari
,
M.
, and
El Mansori
,
M.
,
2009
, “
Modelling of Chip Separation in Machining Unidirectional FRP Composites by Stiffness Degradation Concept
,”
Compos. Sci. Technol.
,
69
(
5
), pp.
684
692
.
20.
Lasri
,
L.
,
Nouari
,
M.
, and
Mansori
,
M. E.
,
2011
, “
Wear Resistance and Induced Cutting Damage of Aeronautical FRP Components Obtained by Machining
,”
Wear
,
271
(
9–10
), pp.
2542
2548
.
21.
Xu
,
J.
, and
El Mansori
,
M.
,
2016
, “
Cutting Modeling of Hybrid CFRP/Ti Composite With Induced Damage Analysis
,”
Materials
,
9
(
1
), p.
22
.
22.
Hashin
,
Z.
, and
Rotem
,
A.
,
1973
, “
A Fatigue Failure Criterion for Fiber Reinforced Materials
,”
J. Compos. Mater.
,
7
(
4
), pp.
448
464
.
23.
Hashin
,
Z.
,
1981
, “
Fatigue Failure Criteria for Unidirectional Fiber Composites
,”
ASME J. Appl. Mech.
,
48
(
4
), pp. 846–852.
24.
Santiuste
,
C.
,
Soldani
,
X.
, and
Miguelez
,
M. H.
,
2010
, “
Machining FEM Model of Long Fiber Composites for Aeronautical Components
,”
Compos. Struct.
,
92
(
3
), pp.
691
698
.
25.
Soldani
,
X.
,
Santiuste
,
C.
,
Munoz-Sanchez
,
A.
, and
Miguelez
,
M.
,
2011
, “
Influence of Tool Geometry and Numerical Parameters When Modeling Orthogonal Cutting of LFRP Composites
,”
Compos. Part A
,
42
(
9
), pp.
1205
1216
.
26.
Camanho
,
P.
, and
Davila
,
C.
,
2002
, “
Mixed-Mode Decohesion Finite Elements for the Simulation of Delamination in Composite Materials
,” NASA Center for Aerospace Information (CASI), Hanover, MD, Report No.
NASA/TM-2002-211737
.https://ntrs.nasa.gov/archive/nasa/casi.ntrs.nasa.gov/20020053651.pdf
27.
Zenia
,
S.
,
Ben Ayed
,
L.
,
Nouari
,
M.
, and
Delamzire
,
A.
,
2015
, “
Numerical Analysis of the Interaction Between the Cutting Forces, Induced Cutting Damage, and Machining Parameters of CFRP Composites
,”
Int. J. Adv. Manuf. Technol.
,
78
(
1–4
), pp.
465
480
.
28.
Zienkiewicz
,
O. C.
,
Jain
,
P. C.
, and
Onate
,
E.
,
1978
, “
Flow of Solids During Forming and Extrusion: Some Aspects of Numerical Solutions
,”
Int. J. Solids Struct.
,
14
(
1
), pp.
15
38
.
29.
Strenkowski
,
J. S.
, and
Moon
,
K. J.
,
1990
, “
Finite Element Prediction of Chip Geometry and Tool/Workpiece Temperature Distributions in Orthogonal Metal Cutting
,”
J. Eng. Ind.
,
112
(4), pp.
313
318
.
30.
Zhang
,
L. C.
,
Zhang
,
H. J.
, and
Wang
,
X. M.
,
2001
, “
A Force Prediction Model for Cutting Unidirectional Fibre-Reinforced Plastics
,”
Mach. Sci. Technol.
,
5
(
3
), pp.
293
305
.
31.
Lapczyk
,
I.
, and
Hurtado
,
J. A.
,
2007
, “
Progressive Damage Modeling in Fiber-Reinforced Materials
,”
Compos. Part A
,
38
(
11
), pp.
2333
2341
.
32.
Van Der Meer
,
F. P.
, and
Sluys
,
L. J.
,
2009
, “
Continuum Models for the Analysis of Progressive Failure in Composite Laminates
,”
J. Compos. Mater.
,
43
(
20
), pp.
2131
2156
.
33.
Budiansky
,
B.
, and
Fleck
,
N. A.
,
1994
, “
Compressive Kinking of Fiber Composites: A Topical Review
,”
ASME Appl. Mech. Rev.
,
47
(
6S
), pp.
S246
S250
.
34.
Hsiao
,
H. M.
, and
Daniel
,
I. M.
,
1998
, “
Strain Rate Behavior of Composite Materials
,”
Compos. Part B
,
29
(
5
), pp.
521
533
.
35.
Benson
,
D. J.
,
1997
, “
A Mixture Theory for Contact in Multi-Material Eulerian Formulations
,”
Comput. Methods Appl. Mech. Eng.
,
140
(
1–2
), pp.
59
86
.
36.
Benson
,
D. J.
,
2008
, “
Momentum Advection on Unstructured Staggered Quadrilateral Meshes
,”
Int. J. Numer. Methods Eng.
,
75
(
13
), pp.
1549
1580
.
37.
Belytschko
,
T.
,
Liu
,
W. K.
,
Moran
,
B.
, and
Elkhodary
,
K.
,
2014
,
Nonlinear Finite Elements for Continua and Structures
, John Wiley & Sons, West Sussex, UK.
38.
Wang
,
D. H.
,
Ramulu
,
M.
, and
Arola
,
D.
,
1995
, “
Orthogonal Cutting Mechanisms of Graphite/Epoxy Composite. Part I: Unidirectional Laminate
,”
Int. J. Mach. Tools Manuf.
,
35
(
12
), pp.
1623
1638
.
39.
Geuzaine
,
C.
, and
Remacle
,
J.-F.
,
2016
, “
Gmsh Reference Manual
,” Gmsh 3.0.
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