Research Papers

Effect of Geometrical Discontinuities on Strain Distribution for Orthotropic Laminates Under Biaxial Loading

[+] Author and Article Information
M. A. Mateen

JNTU Hyderabad,
Hyderabad, Telangana 500085, India;
Department of Mechanical Engineering,
Nizam Institute of Engineering and Technology,
Nalgonda, Telangana 508 284, India
e-mail: abdulmateen7@gmail.com

D. V. Ravi Shankar

Department of Mechanical Engineering,
TKR College of Engineering and Technology,
Hyderabad, Telangana 500097, India
e-mail: shankardasari@rediffmail.com

M. Manzoor Hussain

Department of Mechanical Engineering,
Sultanpur, Telangana 502293, India
e-mail: manzoorjntu@gmail.com

Contributed by the Materials Division of ASME for publication in the JOURNAL OF ENGINEERING MATERIALS AND TECHNOLOGY. Manuscript received September 3, 2015; final manuscript received October 30, 2015; published online December 10, 2015. Assoc. Editor: Vikas Tomar.

J. Eng. Mater. Technol 138(1), 011007 (Dec 10, 2015) (4 pages) Paper No: MATS-15-1211; doi: 10.1115/1.4032004 History: Received September 03, 2015; Revised October 30, 2015

The contemporary approach of utilizing uniaxial tests data for prediction of failure in composite materials, that are anisotropic and inhomogeneous under multi-axial loading has witnessed to be inadequate. Consequently, biaxial and multi-axial tests appeared obligatory to enhance our perceptive about the performance of these complex materials. The present paper is focused on selection of suitable geometry for the test coupons required under biaxial loading. The specimen with (1) uniform stress about the gauge section, (2) failure in the gauge section, and (3) preventing the undesired nonuniform strain distribution due to stress concentration is selected. Finite element analysis (FEA) is implemented on the cross shape (╬) specimen with different undercuts and holes with different stress ratios ranging from (σx:σy) = 1:1, 1:0.5, 1:0.75, 1:−0.25, 1:−0.5, and 1:−0.75 are applied on the four edges of the specimen for selection of suitable geometry.

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Soden, P. D. , Hinton, M. J. , and Kaddour, A. S. , 2002, “ Biaxial Test Results for Strength and Deformation of a Range of E-Glass and Carbon Fibre Reinforced Composite Laminates: Failure Exercise Benchmark Data,” Compos. Sci. Technol., 62(12–13), pp. 1489–1514. [CrossRef]
Hinton, M. J. , Kaddour, A. S. , and Soden, P. D. , 2004, “ The World-Wide Failure Exercise: Its Origin, Concept and Content,” Failure Criteria in Fibre Reinforced Polymer Composites: The World-Wide Failure Exercise, Elsevier Ltd., Oxford, UK, pp. 2–40.
Quaglini, V. , Corazza, C. , and Poggi, C. , 2008, “ Experimental Characterization of Orthotropic Technical Textiles Under Uniaxial and Biaxial Loading,” Composites, Part A, 39(8), pp. 1331–1342. [CrossRef]
Kwonz, H. J. , Xia, Z. , and Jar, B. , 2005, “ Characterization of Biaxial Fatigue Resistance of Polymer Plates,” J. Mater. Sci., 40(4), pp. 965–972. [CrossRef]
Demmerle, S. , and Boehler, J. P. , 1993, “ Optimal Design of Biaxial Tensile Cruciform Specimens,” J. Mech. Phys. Solids, 41(1), pp. 143–181. [CrossRef]
Yu, Y. , Wan, M. , and Wu, X. D. , 2002, “ Design of a Cruciform Biaxial Tensile Specimen for Limit Strain Analysis by FEM,” J. Mater. Process. Technol., 123(1), pp. 67–70. [CrossRef]
Makris, A. , Van Hemelrijck, D. , Ramault, C. , Zarouchas, D. , Lamkanfi, E. , and Van Paepegem, W. , 2010, “ An Investigation of the Mechanical Behavior of Carbon Epoxy Cross Ply Cruciform Specimens Under Biaxial Loading,” Polym. Compos., 31(9), pp. 1554–1561. [CrossRef]
Welsh, J. S. , and Adams, D. F. , 2002, “ An Experimental Investigation of Biaxial Strength of IM6/3501-6 Carbon/Epoxy Cross-Ply Laminates Using Cruciform Specimens,” Composites, Part A, 33(6), pp. 829–839. [CrossRef]
Smits, A. , Van Hemelrijck, D. , Philippidis, T. P. , and Cardon, A. , 2006, “ Design of a Cruciform Specimen for Biaxial Testing of Fibre Reinforced Composite Laminates,” Compos. Sci. Technol., 66(7–8), pp. 964–975. [CrossRef]
Lamkanfi, E. , Van Paepegem, W. , Degrieck, J. , Ramault, C. , Makris, A. , and Van Hemelrijck, D. , 2010, “ Strain Distribution in Cruciform Specimens Subjected to Biaxial Loading Conditions—Part 1: Two-Dimensional Versus Three-Dimensional Finite Element Model,” Polym. Test., 29(1), pp. 7–13. [CrossRef]
Mateen, M. A. , Tajuddin, Md. , Ravi Shankar, D. V. , and Manzoor Hussain, M. , 2013, “ Finite Element Analysis of Glass/Epoxy Composite Under Bi-Axial Loading,” International Conference on Advancements in Polymeric materials, CIPET Lucknow, India, Mar. 1–3, pp. 152–159.
Sun, C. T. , and Tao, J. , 1998, “ Prediction of Failure Envelopes and Stress/Strain Behavior of Composite Laminates,” Compos. Sci. Technol., 58(7), pp. 1125–1136. [CrossRef]
Susuki, I. , 1992, “ Biaxial Testing of Composite Plate Using Cruciform Specimens,” Composites Design, Manufacture and Application/ICCM VIII, Honolulu, HI, July 15–19, pp. 30–39.
Lamkanfi, E. , Van Paepegem, W. , Degrieck, J. , Ramault, C. , Makris, A. , and Van Hemelrijck, D. , 2010, “ Strain Distribution in Cruciform Specimens Subjected to Biaxial Loading Conditions—Part 2: Influence of Geometrical Discontinuities,” Polym. Test., 29(1), pp. 132–138. [CrossRef]
Shiratori, E. , and Ikegami, K. , 1967, “ A New Biaxial Tensile Testing Machine With Flat Specimen,” Bull. Tokyo Inst. Technol., 82, pp. 105–118.
Parsons, M. W. , and Pascoe, K. J. , 1975, “ Development of a Biaxial Fatigue Testing Rig,” J. Strain Anal., 10(1), pp. 1–9. [CrossRef]
Ferron, G. , and Makinde, A. , 1988, “ Design and Development of a Biaxial Strength Testing Device,” J. Test. Eval., 16(3), pp. 253–256. [CrossRef]
Fessler, H. , and Musson, J. , 1969, “ A 30 ton Biaxial Testing Machine,” J. Strain Anal., 4(1), pp. 22–26. [CrossRef]
Makinde, A. , Thibodeau, L. , and Neale, K. W. , 1992, “ Development of an Apparatus for Biaxial Testing Using Cruciform Specimens,” Exp. Mech., 32(2), pp. 138–144. [CrossRef]
Boehler, J. P. , Demmerle, S. , and Koss, S. , 1994, “ A New Direct Biaxial Testing Machine for Anisotropic Materials,” Exp. Mech., 34(1), pp. 1–9. [CrossRef]
Welsh, J. S. , and Adams, D. F. , 2000, “ Development of an Electromechanical Triaxial Test Facility for Composite Materials,” Exp. Mech., 40(3), pp. 312–320. [CrossRef]
Lin, W. P. , and Hu, H. T. , 2002, “ Parametric Study of Failure Stresses in Fiber Reinforced Composite Laminates Subjected to Biaxial Tensile Load,” J. Compos. Mater., 36(12), pp. 1481–1504. [CrossRef]
Geiger, M. , Hubn, W. , and Merklein, M. , 2005, “ Specimen for a Novel Concept of the Biaxial Tension Test,” J. Mater. Process. Technol., 167(2–3), pp. 177–183. [CrossRef]
Broughton, W. R. , and Sims, G. D. , 1994, “ An Overview of Through-Thickness Test Methods for Polymer Matrix Composites,” National Physical Laboratory, Middlesex, UK, NPL Report DMM (A) 148, NPL Doc. Ref: PDB: 144.


Grahic Jump Location
Fig. 1

Boundary conditions of the cruciform specimen

Grahic Jump Location
Fig. 2

Stress distribution on cruciform with a round corner for (a) ratios of T–T and C–T and (b) stress ratios C–C and T–C

Grahic Jump Location
Fig. 3

Stress distribution on cruciform with a spline cut and taper arm: (a) ratios of T–T and C–T and (b) ratios C–C and T–C

Grahic Jump Location
Fig. 4

Stress distribution on a model with spline cut and straight arm: (a) ratios of T–T ad C–T and (b) ratios C–C and T–C

Grahic Jump Location
Fig. 5

Failure locus of the three geometries



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