Stress-strain relationship for metal hollow sphere materials as a function of their relative density

Journal of Applied Mechanics, Transactions ASME

Volumn 74, Issue 5, 2007, Pages 898-907

  Karagiozova, D ^a,b   Yu, T X ^a,b   Gao, Z Y ^a,b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b INSTITUTE OF MECHANICS   (Bulgaria)

Author keywords

Metallic foam; Plastic deformation; Relative density; Strain hardening; Uniaxial loading; Yield strength

Indexed keywords

DENSITY MEASUREMENT (SPECIFIC GRAVITY); FINITE ELEMENT METHOD; PLASTIC DEFORMATION; STEEL; STRAIN HARDENING; STRAIN RELAXATION; STRESS ANALYSIS; YIELD STRESS;

METAL HOLLOW SPHERE; METALLIC FOAM; RELATIVE DENSITY; STRESS-STRAIN RELATIONSHIP; UNIAXIAL COMPRESSION;

METAL ANALYSIS;

EID: 35348833485     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2712235     Document Type: Article

References (20)

1. Gibson, L. J., and Ashby, M. F., 1997, Cellular Solids: Structure and Properties, 2nd ed., Cambridge University Press, Cambridge, UK.
2. Lu, G., and Yu, T. X., 2003, Energy Absorption of Structures and Materials, Woodhead Publishing Ltd., Cambridge, UK.
3. Hurysz, K. M., Clark, J. L., Nagle, A. R., Hardwicke, C. U., Lee, K. J., Cochran, J. K., and Sanders, T. H., 1998, "Steel and Titanium Hollow Sphere Foams," Porous and Cellular Materials for Structural Applications, MRS Proceedings, A. Evans, D. Schwartz, D. Shih, and H. Wadley, eds., Materials Research Society, Pittsburgh, PA, Vol. 521, pp. 191-203.
4. Clark, J. L., Hurysz, K. M., Lee, K. J., Cochran, J. K., and Sanders, T. H., 1999, "Stainless Steel Hollow Sphere Foams-Fabrication, Carburization, and Properties," Metal Foams and Porous Metal Structures, J. Banhart, M. F. Ashby, and N. A. Fleck, eds., MIT Publishers, Bremen, Germany, pp. 171-178.
5. Lim, T.-J., Smith, B., and McDowell, D. L., 2002, "Behavior of a Random Hollow Sphere Metal Foam," Acta Mater., 50, pp. 2867-2879.
6. Zhao, H., Elnasri, I., and Abdennadher, S., 2005, "An Experimental Study on the Behavior Under Impact Loading of Metallic Cellular Materials," Int. J. Mech. Sci., 47, pp. 757-774.
7. Gao, Z. Y., Yu, T. X., and Zhao, H., 2007, "Mechanical Behavior of Metallic Hollow Sphere (MHS) Materials: An Experimental Study," J. Aerosp. Eng., submitted.
8. Sanders, W. S., and Gibson, L. J., 2003, "Mechanics of Hollow Sphere Foams," Mater. Sci. Eng., A, 347, pp. 70-85.
9. Sanders, W. S., and Gibson, L. J., 2003, "Mechanics of BCC and FCC Hollow-Sphere Foams," Mater. Sci. Eng., A, 352, pp. 150-161.
10. Gasser, S., Paun, F., Cayzeele, A., and Bréchet, Y., 2003, "Uniaxial Tensile Elastic Properties of a Regular Stacking of Brazed Hollow Spheres," Scr. Mater., 48, pp. 1617-1623.
11. Gasser, S., Paun, F., and Bréchet, Y., 2004, "Finite Elements Computation for the Elastic Properties of a Regular Stacking of Hollow Spheres," Mater. Sci. Eng., A, 379, pp. 240-244.
12. Ruan, H. H., Gao, Z. Y., and Yu, T. X., 2006, "Crushing of Thin-Walled Spheres and Sphere Arrays," Int. J. Mech, Sci., 48, pp. 117-133.
13. Lekie, R A., and Penny, P. K., 1968, "Plastic Instability of a Spherical Shell," Engineering Plasticity, J. Heyman, and R A. Leckie, eds., Cambridge University Press, Cambridge, UK, pp. 401-411.
14. Morris, A., and Calladine, C. R., 1969, "The Local Strength of Thin Spherical Shell Loaded Radially Through a Rigid Boss," Proceedings 1st International Conference on Pressure Vessel Technology, Delft, Netherlands, I. Berman, ed., Pergamon, Oxford, UK, pp. 35-44.
15. Updike, D. P., 1972, "On the Large Deformation of a Rigid Plastic Spherical Shell Compressed by a Rigid Plate," J. Eng. Ind., 94, pp. 949-955.
16. De Oliveira, J. G., and Wierzbicki, T., 1982, "Crushing Analysis of Rotationally Symmetrical Plastic Shells," J. Strain Anal. Eng. Des., 17, pp. 229-236.
17. Reid, S. R., and Reddy, T. Y., 1983, "Experimental Investigation of Inertia Effects in One-Dimensional Metal Rings Systems Subjected to Impact - I. Fixed Ended Systems," Int. J. Impact Eng., 1, pp. 85-106.
18. Shim, V. P. W., and Stronge, W. J., 1986, "Lateral Crushing of Tightly Packed Arrays of Thin-Walled Metal Tubes," Int. J. Mech. Sci., 28, pp. 698-617.
19. Karagiozova, D., Yu, T. X., and Gao, Z. Y., 2006, "Modeling of MHS Cellular Solid in Large Strains," Int. J. Mech. Sci., 48, pp. 1273-1286.
20. Gao, Z. Y., Yu, T. X., and Karagiozova, D., 2007, "Finite Element Simulation on the Mechanical Properties of MHS Materials," Acta Mech. Sinica, 23, pp. 65-75.