TY - JOUR
T1 - Failure surfaces for cellular materials under multiaxial loads-I.Modelling
AU - Gibson, L. J.
AU - Ashby, M. F.
AU - Zhang, J.
AU - Triantafillou, T. C.
N1 - Funding Information:
Acknowledgements--We are grateful to Prof. J. W. Hutchinson of the Division of Applied Sciences, Harvard University, for enlightening discussions on the elastic buckling of gridworks. Financial support for this project was provided by the U.S. National Science Foundation Solid Mechanics Program (Grant No. MSM 8603821), the U.K. Science and Engineering Research Council (Grant No. GR/D/00528) and the NATO Program for International Collaborative Research (Grant No. 0805/06), for which we are grateful.
PY - 1989
Y1 - 1989
N2 - Materials with a cellular structure are increasingly used in engineering. Proper design requires an understanding of the response of the materials to stress; and, in real engineering design, the stress state is often a complex one. In this paper we model the elastic buckling, plastic yield and brittle fracture of cellular solids under multiaxial stresses to develop equations describing their failure surfaces. The models are compared to data in the following, companion, paper.
AB - Materials with a cellular structure are increasingly used in engineering. Proper design requires an understanding of the response of the materials to stress; and, in real engineering design, the stress state is often a complex one. In this paper we model the elastic buckling, plastic yield and brittle fracture of cellular solids under multiaxial stresses to develop equations describing their failure surfaces. The models are compared to data in the following, companion, paper.
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U2 - 10.1016/S0020-7403(89)80001-3
DO - 10.1016/S0020-7403(89)80001-3
M3 - Article
AN - SCOPUS:0024944309
SN - 0020-7403
VL - 31
SP - 635
EP - 663
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
IS - 9
ER -