The effects of relative density of metal foams on the stresses and deformation of beam under bending |
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Authors: | Aiyu Zhu Tianyou Fan |
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Institution: | (1) Department of Mathematics, School of Science, Beijing Institute of Technology, P. O. Box 327, Beijing, 100081, China;(2) Department of Physics, School of Science, Beijing Institute of Technology, P. O. Box 327, Beijing, 100081, China |
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Abstract: | The exact analytic solution of the pure bending beam of metallic foams is given. The effects of relative density of the material
on stresses and deformation are revealed with the Triantafillou and Gibson constitutive law (TG model) taken as the analysis
basis. Several examples for individual foams are discussed, showing the importance of compressibility of the cellular materials.
One of the objects of this study is to generalize Hill’s solution for incompressible plasticity to the case of compressible
plasticity, and a kinematics parameter is brought into the analysis so that the velocity field can be determined.
The English text was polished by Yunming Chen. |
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Keywords: | Metal foams Relative density Compressible plasticity Constitutive law TG model |
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