The effective compliance moduli of a plate with a doubly periodic set of traction-free holes are considered. Attention is drawn to the perturbation form in which they are expressed by applying the complex variable methods in two-dimensional elasticity. This permits one to derive specific dimensionless combinations of the effective moduli, which are independent of the solid Poisson ratio. Using them saves computations of the structure moduli by FEM-like methods and helps one to evaluate their practical accuracy. Thus far, the only result of this kind has been observed numerically by Day, Snyder, Garboczi, and Thorpe (J. Mech. Phys. Solids. 40, pp. 1031–1051, 1992) and later proved by Cherkaev, Lurie, and Milton (Proc. R. Soc. London, Ser. A 458, pp. 519–529, 1992).
Skip Nav Destination
e-mail: smuel@iec.co.il
Article navigation
January 2006
Technical Briefs
Cross Relations Between the Planar Elastic Moduli of Perforated Structures
Shmuel Vigdergauz
Shmuel Vigdergauz
R&D Division,
e-mail: smuel@iec.co.il
The Israel Electric Corporation, Ltd.
, P. O. Box 10, Haifa 31000, Israel
Search for other works by this author on:
Shmuel Vigdergauz
R&D Division,
The Israel Electric Corporation, Ltd.
, P. O. Box 10, Haifa 31000, Israele-mail: smuel@iec.co.il
J. Appl. Mech. Jan 2006, 73(1): 163-166 (4 pages)
Published Online: November 1, 2004
Article history
Received:
July 8, 2004
Revised:
November 1, 2004
Citation
Vigdergauz, S. (November 1, 2004). "Cross Relations Between the Planar Elastic Moduli of Perforated Structures." ASME. J. Appl. Mech. January 2006; 73(1): 163–166. https://doi.org/10.1115/1.1938202
Download citation file:
Get Email Alerts
Cited By
Hamiltonian System-Based Symplectic Framework for Analytical Vibration Analysis of Microplates
J. Appl. Mech (December 2024)
Related Articles
Trefftz Finite Element Method and Its Applications
Appl. Mech. Rev (September,2005)
Mechanical Behavior of Random Fiber Composite Perforated Plates
J. Pressure Vessel Technol (April,2010)
Analytical and 3D Finite Element Study of the Deflection of an Elastic Cantilever Bilayer Plate
J. Appl. Mech (January,2011)
Corrosion Effects on Reliability of Flat Plates in Tension
J. Offshore Mech. Arct. Eng (May,2012)
Related Proceedings Papers
Related Chapters
Approximate Analysis of Plates
Design of Plate and Shell Structures
Data Tabulations
Structural Shear Joints: Analyses, Properties and Design for Repeat Loading
Buckling Analysis of Corrugated Sandwich Plates with Soft Core Using Three-Dimensional Finite Element Method
International Conference on Mechanical and Electrical Technology, 3rd, (ICMET-China 2011), Volumes 1–3