Yield surfaces of various periodic metal honeycombs at intermediate relative density

International Journal of Plasticity

Volumn 21, Issue 2, 2005, Pages 285-320

  Wang, A J ^a   McDowell, D L ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Cellular metals; Honeycombs; Plastic collapse; Yield surface

Indexed keywords

ENERGY ABSORPTION; HEAT TRANSFER; LOADING; PLASTICITY; STRESS ANALYSIS; SURFACE PHENOMENA;

CELLULAR METALS; HONEYCOMBS; PLASTIC COLLAPSE; YIELD SURFACE;

HONEYCOMB STRUCTURES;

EID: 5144231039     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2003.12.002     Document Type: Article

References (46)

1. ABAQUS/Explicit, v5.8, 1999, Hibbit, Karlsson and Sorenson, Inc, Pawtucket, RI.
2. Abramowicz W., Wierzbicki T. Axial crushing of multicorner sheet metal columns. Journal of Applied Mechanics, Transactions of the ASME. 56(3):1989;113-120.
3. Bardi F.C., Yun H.D., Kyriakides S. On the axisymmetric progressive crushing of circular tubes under axial compression. International Journal of Solids and Structures. 40:2003;3137-3155.
4. Chen, W., Wierzbicki, T., 2000. Relative merits of single-cell, multi-cell and foam-filled structures in energy absorption. Impact & Crashworthiness Laboratory, Report No. 42, Massachusetts Institute of Technology.
5. Chen C., Lu T.J., Fleck N.A. Effect of imperfections on the yielding of two-dimensional foams. Journal of the Mechanics and Physics of Solids. 47:1999;2235-2272.
6. Cochran, J., Lee, K.J., McDowell, D., Sanders, T., Church, B., Clark, J., Dempsey, B., Hayes, A., Hurysz, K., McCoy, T., Nadler, J., Oh, R., Seay, W., Shapiro, B., 2000. Low density monolithic metal honeycombs by thermal chemical processing, Fourth Conference on Aerospace Materials, Processes and Environmental Technology, Huntsville, Alabama, September 18-20.
7. Deshpande V.S., Ashby M.F., Fleck N.A. Foam topology bending versus stretching dominated architectures. Acta Materialia. 49:2001;1035-1040.
8. Doyoyo M., Wierzbicki T. Experimental studies on the yield behavior of ductile and brittle aluminum foams. International Journal of Plasticity. 19:2003;1195-1214.
9. Doyoyo M., Mohr D. Microstructural response of aluminum honeycomb to combined out-of-plane loading. Mechanics of Materials. 35:2003;865-876.
10. Evans A.G., Hutchinson J.W., Fleck N.A., Ashby M.F., Wadley H.N.G. The topological design of multifunctional cellular metals. Progress in Materials Science. 46:2001;309-327.
11. Fazekas A., Dendievel R., Salvo L., Brechet Y. Effect of microstructural topology upon the stiffness and strength of 2D cellular structures. International Journal of Mechanical Sciences. 44:2002;2047-2066.
12. Gere J.M., Timoshenko S.P. Mechanics of Materials. second ed. 1984;Wadsworth Inc.
13. Gibson L.J., Ashby M.F., Zhang J., Triantafillou T.C. Failure surfaces for cellular materials under multiaxial loads - I. Modelling. International Journal of Mechanical Sciences. 31(9):1989;635-663.
14. Gibson L.J., Ashby M.F. Cellular Solids: Structure and Properties. second ed. 1997;Cambridge University Press.
15. Grediac M. A finite element study of the transverse shear in honeycomb cores. International Journal of Solids and Structures. 30(13):1993;1777-1788.
16. Gu S., Lu T.J., Evans A.G. On the design of two-dimensional cellular metals for combined heat dissipation and structural load capacity. International Journal of Heat and Mass Transfer. 44:2001;2163-2175.
17. Guo X.E., Gibson L.J. Behavior of intact and damaged honeycombs: a finite element study. International Journal of Mechanical Sciences. 41:1999;85-105.
18. Hanssen A.G., Langseth M., Hopperstad O.S. Static crushing of square aluminium extrusions with aluminium foam filler. International Journal of Mechanical Sciences. 41:1999;967-993.
19. Hayes, A.M., Wang, A., Dempsey, B.M., McDowell, D.L., 2003. Mechanics of linear cellular alloys. Mechanics of Materials, in-press.
20. Hodge P.G. Plastic Analysis of Structures. 1959;McGraw-Hill, London.
21. Hunt H.E.M. The mechanical strength of ceramic honeycomb monoliths as determined by simple experiments. Chemical Engineering Research and Design. 71(A):1993;257-266.
22. Hyun S., Torquato S. Optimal and manufacturable two-dimensional, Kagomeá-like cellular solids. Journal of Materials Research. 17(1):2002;137-144.
23. Kelsey S., Gellatly R.A., Clark B.W. The shear modulus of foil honeycomb cores. Aircraft Engineering. 30:1958;294-302.
24. Kim B., Christensen R.M. Basic two-dimensional core types for sandwich structures. International Journal of Mechanical Sciences. 42:2000;657-676.
25. Klintworth J.W., Stronge W.J. Elasto-plastic yield limits and deformation laws for transversely crushed honeycombs. International Journal of Mechanical Sciences. 30:1988;273-292.
26. Klintworth J.W., Stronge W.J. Plane punch indentation of a ductile honeycomb. International Journal of Mechanical Sciences. 31:1989;359-378.
27. McFarland R.K. Jr. Hexagonal cell structure under post-buckling axial load. AIAA Journal. 1:1963;1380-1385.
28. Okumura D., Ohno N., Noguchi H. Post-buckling analysis of elastic honeycombs subject to in-plane biaxial compression. International Journal of Solids and Structures. 39(13-14):2002;3487-3503.
29. Onck P.R., Andrews E.W., Gibson L.J. Size effects in ductile cellular solids. Part I: Modeling. International Journal of Mechanical Sciences. 43:2001;681-699.
30. Papka S.D., Kyriakides S. In-plane compressive response and crushing of honeycomb. Journal of the Mechanics and Physics of Solids. 42:1994;1499-1532.
31. Papka S.D., Kyriakides S. Experiments and full-scale numerical simulations of in-plane crushing of a honeycomb. Acta Materialia. 46(8):1998;2765-2776.
32. Papka S.D., Kyriakides S. Biaxial crushing of honeycombs, Part I: Experiments. International Journal of Solids and Structures. 36(29):1999;4367-4396.
33. Papka S.D., Kyriakides S. In-plane biaxial crushing of honeycombs, Part II: Analysis. International Journal of Solids and Structures. 36(29):1999;4397-4423.
34. Santosa S., Wierzbicki T. Effect of an ultralight metal filler on the bending collapse behavior of thin-walled prismatic columns. International Journal of Mechanical Sciences. 41:1999;995-1019.
35. Sluis O., Schreurs P.J.G., Brekelmans W.A.M., Meijer H.E.H. Overall behaviour of heterogeneous elastoviscoplastic materials: effect of microstructural modeling. Mechanics of Materials. 32:2000;449-462.
36. Timoshenko S.P., Gere J.M. Theory of Elastic Stability. second ed. 1961;McGraw-Hill, New York.
37. Torquato S., Gibiansky L.V., Silva M.J., Gibson L.J. Effective mechanical and transport properties of cellular solids. International Journal of Mechanical Sciences. 40(1):1998;71-82.
38. Triantafyllidis N., Schraad M.W. Onset of failure in aluminum honeycombs under general in-plane loading. Journal of the Mechanics and Physics of Solids. 46(6):1998;1089-1124.
39. Wang Y. Elastic collapse of honeycombs under out-of-plane pressure. International Journal of Mechanical Sciences. 33(8):1991;637-644.
40. Wang, A.J., D.L. McDowell, 2002. The in-plane mechanical properties of various periodic honeycombs. Journal of Engineering Materials and Technology, Transactions ASME, to appear.
41. Wierzbicki T. Crushing analysis of metal honeycombs. International Journal of Impact Engineering. 1(2):1983;157-174.
42. Wu E., Jiang W.-S. Axial crush of metallic honeycombs. International Journal of Impact Engineering. 19(5-6):1997;439-456.
43. Zeng Q., Combescure A., Arnaudeau F. An efficient plasticity algorithm for shell elements application to metal forming simulation. Computers and Structures. 79:2001;1525-1540.
44. Zhang J., Ashby M.F. Buckling of honeycombs under in-plane biaxial stresses. International Journal of Mechanical Sciences. 34(6):1992;491-509.
45. Zhang T., Lee J. A plasticity model for cellular materials with open-celled structure. International Journal of Plasticity. 19:2003;749-770.
46. Zhu H.X., Hobdell J.R., Windle A.H. Effects of cell irregularity on the elastic properties of open-cell foams. Acta Materialia. 48:2000;4893-4900.