Unidirectional fiber-reinforced plastic (UD-FRP) laminates have been modeled previously as an equivalent quasihomogeneous monoclinic half-space subjected to an inclined line load on the surface using Lekhnitskii’s formulation simulating the orthogonal edge trimming loads in UD-FRPs. In continuation, failure analysis of the aforementioned composite half-space has been carried out in the present investigation based on Tsai–Wu criterion. In particular, the failure behavior of the half-space laminate with respect to the fiber orientation, load inclination angle, and spatial coordinates has been examined in detail. The motivation behind such a study lies in correlating the failure behavior of the half-space laminate with the machining damage observed during orthogonal edge trimming experiments. The present work strives at identifying this relationship and, in the process, understanding the physics of orthogonal cutting of UD-FRP laminates.

1.
Teti
,
R.
, 2002, “
Machining of Composite Materials
,”
CIRP Ann.
,
51
(
2
), pp.
611
634
. 0890-6955
2.
Wang
,
D.
,
Ramulu
,
M.
, and
Arola
,
D.
, 1995, “
Orthogonal Cutting Mechanisms of Graphite/Epoxy Composite. Part 1: Unidirectional Laminate
,”
Int. J. Mach. Tools Manuf.
0890-6955,
35
(
12
), pp.
1623
1638
.
3.
Wang
,
D.
,
Ramulu
,
M.
, and
Arola
,
D.
, 1995, “
Orthogonal Cutting Mechanisms of Graphite/Epoxy Composite. Part 2: Multi-Directional Laminate
,”
Int. J. Mach. Tools Manuf.
0890-6955,
35
(
12
), pp.
1639
1648
.
4.
Wern
,
C. W.
, and
Ramulu
,
M.
, 1997, “
Influence of Fiber on the Cutting Stress State in Machining Idealized Glass Fiber Composite
,”
J. Strain Anal. Eng. Des.
0309-3247,
32
(
1
), pp.
19
27
.
5.
Wern
,
C. W.
,
Ramulu
,
M.
, and
Shukla
,
A.
, 1996, “
Investigation of Stresses in the Orthogonal Cutting of Fiber-Reinforced Plastics
,”
Exp. Mech.
,
36
, (
1
), pp.
33
41
. 0014-4851
6.
Wern
,
C. W.
, 1995, “
Fiber and Fiber-Matrix Interface Effects on the Orthogonal Cutting of Fiber-Reinforced Plastics
,” Ph.D. thesis, University of Washington, Seattle, WA.
7.
Gururaja
,
S.
, 2008, “
Stress Analysis of Machining Damage in Laminated Polymer Composites
,” Ph.D. thesis, University of Washington, Seattle, WA.
8.
Gururaja
,
S.
, and
Ramulu
,
M.
, 2007, “
Stress Distribution Due to Inclined Line Loads in Fibrous Polymer Composites
,”
International Conference on Computational and Experimental Engineering and Sciences (ICCES)
, Miami, FL, Jan. 3–8,
Tech Science
,
Miami, FL
.
9.
Lekhnitskii
,
S. G.
, 1977,
Theory of Elasticity of an Anisotropic Body
,
Mir
,
Moscow
.
10.
Muskhelishvelli
,
N.
, 1953,
Some Basic Problem of the Mathematical Theory of Elasticity: Fundamental Equations, Plane Theory of Elasticity, Torsion and Bending
,
5th ed.
,
Nauka
,
Moscow
.
11.
Gdoutos
,
E.
,
Pilakoutas
,
K.
, and
Rodopoulus
,
C.
, 2000,
Failure Analysis of Industrial Composite Materials
,
McGraw-Hill
,
New York
.
12.
Hinton
,
M. J.
, and
Soden
,
P. D.
, 1998, “
Predicting Failure in Composite Laminates: The Background to the Exercise
,”
Compos. Sci. Technol.
0266-3538,
58
(
7
), pp.
1001
1010
.
13.
Tsai
,
S. W.
, and
Wu
,
E. M.
, 1971, “
A General Theory of Strength for Anisotropic Materials
,”
J. Compos. Mater.
0021-9983,
5
, pp.
58
80
.
14.
Arola
,
D.
, and
Ramulu
,
M.
, 1997, “
Orthogonal Cutting of Fiber-Reinforced Composites: A Finite Element Analysis
,”
Int. J. Mech. Sci.
0020-7403,
39
(
5
), pp.
597
613
.
15.
Arola
,
D.
,
Sultan
,
M. B.
, and
Ramulu
,
M.
, 2002, “
Finite Element Modeling of Edge Trimming Fiber Reinforced Plastics
,”
ASME J. Manuf. Sci. Eng.
1087-1357,
124
(
1), pp.
32
41
.
16.
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
. 1042-6914
17.
Arakere
,
N. K.
,
Knudsen
,
E.
,
Swanson
,
G. R.
,
Duke
,
G.
, and
Ham-Battista
,
G.
, 2006, “
Subsurface Stress Fields in Face-Centered-Cubic Single-Crystal Anisotropic Contacts
,”
ASME J. Eng. Gas Turbines Power
0742-4795,
128
, (
4
), pp.
879
888
.
18.
Herakovich
,
C. T.
, 1998,
Mechanics of Fibrous Composites
,
Wiley
,
New York
.
19.
DeTeresa
,
S. J.
, and
Larsen
,
G. J.
, 2003, “
Polynomial Theory of Strength for Composite Materials Reduction in the Number of Independent Parameters for the Tsai–Wu Tensor
,”
J. Compos. Mater.
0021-9983,
37
, pp.
1769
1785
.
20.
Wang
,
L.
, and
Yuan
,
F. G.
, 2005, “
Damage Identification in a Composite Plate Using Prestack Reverse-Time Migration Technique
,”
Struct. Health Monit.
,
4
, pp.
195
211
. 1475-9217
21.
Dávila
,
C. G.
,
Camanho
,
P. P.
, and
de Moura
,
M. F. S. F.
, 2001, “
Progressive Damage Analyses of Skin/Stringer Debonding
,”
American Society for Composites 16th Technical Conference
, Blacksburg, VA, Sept. 9–12.
22.
Ning
,
X.
, and
Lovell
,
M. R.
, 2002, “
On the Sliding Friction Characteristics of Unidirectional FRP Composites
,”
ASME J. Tribol.
0742-4787,
124
, pp.
5
13
.
23.
Christensen
,
R. M.
, 1998, “
The Number of Elastic Properties and Failure Parameters for Fiber Composites
,”
ASME J. Eng. Mater. Technol.
0094-4289,
120
(
2
), pp.
110
113
.
24.
Hashin
,
Z.
, 1983, “
Analysis of Composite Materials–A Survey
,”
ASME J. Appl. Mech.
,
50
, pp.
481
503
. 0021-8936
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