Comprehensive analytical, finite element analysis and experimental studies are made of the interaction between closely spaced multiple circular holes. The analytical model utilizes the technique of asymptotic homogenization and the complex variable method to obtain explicit expressions for the effective elastic properties of a completely perforated plate under uniaxial loading. The analytical predictions are then compared with a finite element model and the results of both techniques are verified experimentally using uniaxial testing under controlled conditions. The findings of the present work are also compared with earlier solutions and efforts are made to highlight inconsistencies and limitations of the three techniques.
Issue Section:
Technical Papers
1.
Bailey
R.
Hicks
R.
1960
, “Behaviour of Perforated Plates Under Plane Stress
,” J. Mech. Engng. Sci.
, Vol. 2
, pp. 143
–161
.2.
Christensen, R. M., 1991, Mechanics of Composite Materials, Krieger, Malabar.
3.
Christensen
R. M.
1990
, “A Critical Evaluation for a Class of Micromechanics Models
,” J. Mech. Phys. Solids
, Vol. 38
, pp. 379
–404
.4.
Cox
H. L.
1955
, “Some Problems Associated with Stress Concentration
,” J. R. Aeronaut. Soc.
, Vol. 59
, pp. 551
–561
.5.
Erickson
P. E.
Riley
W. F.
1978
, “Minimizing Stress Concentration Around Circular Holes in a Uniaxial Loaded Plate
,” Exp. Mech.
, Vol. 18
, pp. 97
–100
.6.
Gong, S. X., and Meguid, S. A., 1993, “On the Elastic Fields of an Elliptical Inhomogeneity Under Plane Deformation,” Proc. Royal Society of London, Series A, in press.
7.
Gong
S. X.
Meguid
S. A.
1992
, “A General Treatment of the Elastic Field of an Elliptical Inhomogeneity Under Antiplane Shear
,” ASME Journal of Applied Mechanics
, Vol. 59
, pp. S131–S135
S131–S135
.8.
Haddon
R. A.
1967
, “Stresses in an Infinite Plate with Two Unequal Circular Holes
,” Q. J. Mech. Appl. Math.
, Vol. 20
, pp. 277
–291
.9.
Hashin
Z.
Shtrikman
S.
1963
, “A Variational Approach to the Theory of the Elastic Behaviour of Multiphase Materials
,” J. Mech. Phys. Solids
, Vol. 11
, pp. 127
–140
.10.
Hashin
Z.
1983
, “Analysis of Composite Materials—A Survey
,” ASME Journal of Applied Mechanics
, Vol. 50
, pp. 481
–505
.11.
Horii
H.
Nemat-Nasser
S.
1985
, “Elastic Fields of Interacting Inhomogeneities
,” Int. J. Solids Struct.
, Vol. 21
, pp. 731
–745
.12.
Isida
M.
Igawa
H.
1991
, “Analysis of a Zig-Zag Array of Circular Holes in an Infinite Solid Under Uniaxial Tension
,” Int. J. Solids Structures
, Vol. 27
, pp. 849
–864
.13.
Jindal
U. C.
1983
, “Reduction of Stress Concentration Around a Hole in a Uniaxially Loaded Plate
,” J. Strain Anal.
, Vol. 18
, pp. 35
–141
.14.
Kalamkarov, A. L., 1992, Composite and Reinforced Elements of Construction, Wiley, New York.
15.
Meguid
S. A.
Shen
C. L.
1992
, “On the Elastic Fields of Interacting Defence and Main Hole Systems
,” Int. J. Mech. Sci.
, Vol. 34
, pp. 17
–29
.16.
Meguid
S. A.
1986
, “Finite Element Analysis of Defense Hole Systems for the Reduction of Stress Concentration in a Uniaxially Loaded Plate with Two Coaxial Holes
,” Engng. Fracture Mech.
, Vol. 25
, pp. 403
–413
.17.
Meguid
S. A.
Gong
S. X.
1993
, “Stress Concentration Around Interacting Circular Holes: A Comparison Between Theory and Experiments
,” Engng. Fracture Mech.
, Vol. 44
, pp. 247
–256
.18.
Mori
T.
Tanaka
K.
1973
, “Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions
,” Acta Metall.
, Vol. 21
, pp. 571
–574
.19.
Nemat-Nasser, S., and Hori, M., 1993, Micromechanics Overall Properties of Heterogeneous Solids, Elsevier, Amsterdam.
20.
Weng, G. J., Taya, M., and Abe´, H., Editors, 1990, Micromechanics and Inhomogeneity–the T. Mura 65th Anniversary Volume, Springer, New York.
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