Size effects in ductile cellular solids, I: modeling

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Onck, P. R.; Andrews, E. W.; Gibson, L. J.

Size effects in ductile cellular solids, I: modeling

Int J Mech Sci. 2001;43(3):681-699

Abstract and keywords

In the mechanical testing of metallic foams, an important issue is the effect of the specimen size, relative to the cell size, on the measured properties. Here we analyze size effects for the modulus and strength of regular, hexagonal honeycombs under uniaxial and shear loadings. Size effects for indentation of a honeycomb are evaluated using finite element analysis. Finally, the results for honeycombs are extrapolated to foams. The results are compared with data for metallic foams in the following, companion paper.

Keywords: Cellular solids; Size effects; Mechancial properties
Links

DOI: 10.1016/S0020-7403(00)00042-4

WoS: 000165652500006

Cited Works (2)

Year	Entry
1997	Gibson LJ, Ashby MF. Cellular Solids: Structure and Properties. 2nd ed. Cambridge, UK: Cambridge University Press; 1997. Cambridge Solid State Science Series.
2001	Andrews EW, Gioux G, Onck P, Gibson LJ. Size effects in ductile cellular solids, II: experimental results. Int J Mech Sci. 2001;43(3):701-713.

Cited By (14)

Year	Entry
2010	Lievers WB, Petryshyn AC, Poljsak AS, Waldman SD, Pilkey AK. Specimen diameter and "side artifacts" in cancellous bone evaluated using end-constrained elastic tension. Bone. August 2010;47(2):371-377.
2017	Tsirigotis A, Deligianni DD. Combining digital image correlation and acoustic emission for monitoring of the strain distribution until yielding during compression of bovine cancellous bone. Front Mater. December 20, 2017;4:44.
2001	Andrews EW, Gioux G, Onck P, Gibson LJ. Size effects in ductile cellular solids, II: experimental results. Int J Mech Sci. 2001;43(3):701-713.
2006	Guedes RM, Simões JA, Morais JL. Viscoelastic behaviour and failure of bovine cancellous bone under constant strain rate. J Biomech. 2006;39(1):49-60.
2006	Wang X, Niebur GL. Microdamage propagation in trabecular bone due to changes in loading mode. J Biomech. 2006;39(5):781-790.
2007	Bevill G, Easley SK, Keaveny TM. Side-artifact errors in yield strength and elastic modulus for human trabecular bone and their dependence on bone volume fraction and anatomic site. J Biomech. 2007;40(15):3381-3388.
2002	Arthur Moore TL, Gibson LJ. Microdamage accumulation in bovine trabecular bone in uniaxial compression. J Biomech Eng. February 2002;124(1):63-71.
2010	Lievers WB, Waldman SD, Pilkey AK. Minimizing specimen length in elastic testing of end-constrained cancellous bone. J Mech Behav Biomed Mater. January 2010;3(1):22-30.
2021	Bennison MBL, Pilkey AK, Lievers WB. Evaluating a theoretical and an empirical model of "side effects" in cancellous bone. Med Eng Phys. August 2021;94:8-15.
2001	Arthur Moore TL. Microdamage Accumulation in Bovine Trabecular Bone [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; June 2001.
2004	Wang X. Measurement and Analysis of Microdamage in Bone [PhD thesis]. University of Notre Dame; December 2004.
2009	Lievers WB. Effects of Geometric and Material Property Changes on the Apparent Elastic Properties of Cancellous Bone [PhD thesis]. Queen's University; April 2009.
2008	Bevill GR. Micromechanical Modeling of Failure in Trabecular Bone [PhD thesis]. Berkeley, CA: Berkeley, University of California; 2008.
2007	Ruffoni D. Modeling of Material and Architectural Quality of Trabecular Bone [PhD thesis]. Liège, Belgique: Université de Liège; September 2007.