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 l...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.展开更多
文摘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.