Analytical, Numerical, and Experimental Studies of Effective Elastic Properties of Periodically Perforated Materials
Source abstract
Abstract
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.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Composite Material Mechanics · Numerical methods in engineering · Mechanical Behavior of Composites
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Engineering Mechanics and Design Laboratory, Department of Mechanical Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, M5S 1A4 Canada
References (20)
Show source-provided references
1. Bailey R. , and HicksR., 1960, “Behaviour of Perforated Plates Under Plane Stress,” J. Mech. Engng. Sci., Vol. 2, pp. 143–161.10.1243/JMES_JOUR_1960_002_023_02 ↗
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. 379–404.10.1016/0022-5096(90)90005-O ↗
4. Cox H. L. , 1955, “Some Problems Associated with Stress Concentration,” J. R. Aeronaut. Soc., Vol. 59, pp. 551–561.10.1017/S0368393100120413 ↗
5. Erickson P. E. , and RileyW. F., 1978, “Minimizing Stress Concentration Around Circular Holes in a Uniaxial Loaded Plate,” Exp. Mech., Vol. 18, pp. 97–100.10.1007/BF02325003 ↗
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.10.1098/rspa.1993.0157 ↗
7. Gong S. X. , and MeguidS. 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–S135S131–S135.10.1115/1.2899477 ↗
8. Haddon R. A. , 1967, “Stresses in an Infinite Plate with Two Unequal Circular Holes,” Q. J. Mech. Appl. Math., Vol. 20, pp. 277–291.10.1093/qjmam/20.3.277 ↗
9. Hashin Z. , and ShtrikmanS., 1963, “A Variational Approach to the Theory of the Elastic Behaviour of Multiphase Materials,” J. Mech. Phys. Solids, Vol. 11, pp. 127–140.10.1016/0022-5096(63)90060-7 ↗
10. Hashin Z. , 1983, “Analysis of Composite Materials—A Survey,” ASME Journal of Applied Mechanics, Vol. 50, pp. 481–505.10.1115/1.3167081 ↗
11. Horii H. , and Nemat-NasserS., 1985, “Elastic Fields of Interacting Inhomogeneities,” Int. J. Solids Struct., Vol. 21, pp. 731–745.10.1016/0020-7683(85)90076-9 ↗
12. Isida M. , and IgawaH., 1991, “Analysis of a Zig-Zag Array of Circular Holes in an Infinite Solid Under Uniaxial Tension,” Int. J. Solids Structures, Vol. 27, pp. 849–864.10.1016/0020-7683(91)90020-G ↗
13. Jindal U. C. , 1983, “Reduction of Stress Concentration Around a Hole in a Uniaxially Loaded Plate,” J. Strain Anal., Vol. 18, pp. 35–141.10.1243/03093247V182135 ↗
14. Kalamkarov, A. L., 1992, Composite and Reinforced Elements of Construction, Wiley, New York.
15. Meguid S. A. , and ShenC. L., 1992, “On the Elastic Fields of Interacting Defence and Main Hole Systems,” Int. J. Mech. Sci., Vol. 34, pp. 17–29.10.1016/0020-7403(92)90050-Q ↗
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. 403–413.10.1016/0013-7944(86)90254-7 ↗
17. Meguid S. A. , and GongS. X., 1993, “Stress Concentration Around Interacting Circular Holes: A Comparison Between Theory and Experiments,” Engng. Fracture Mech., Vol. 44, pp. 247–256.10.1016/0013-7944(93)90049-X ↗
18. Mori T. , and TanakaK., 1973, “Average Stress in Matrix and Average Elastic Energy of Materials with Misfitting Inclusions,” Acta Metall., Vol. 21, pp. 571–574.10.1016/0001-6160(73)90064-3 ↗
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.10.1007/978-1-4613-8919-4 ↗