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- W2053056711 abstract "A method is described for bounding the effective yield behavior of a mixture composed of anisotropic rigid-plastic materials. It is assumed that the only mechanism for deformation is plastic deformation of individual grains and that the set of stresses causing plastic flow (the “yield surface”) is known for each constituent material. Variational principles are used to generate an upper bound on the effective yield surface from bounds on the elastic moduli of a suitably chosen linearly elastic medium having the same geometry as the given material. This work is then compared with that of Taylor and of Bishop and Hill, who derived an upper bound for polycrystals deforming by slip. Their results are shown to be recovered when using the elementary arithmetic mean bound for the linear material. Moreover, it is shown that if one uses more sophisticated bounds on linear properties then the new bound is tighter than those of Taylor and of Bishop and Hill. An added advantage of the proposed bounding procedure is the ability to obtain bounds which depend on two-point correlation functions by using the analogous linear bounds." @default.
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- W2053056711 date "1994-02-01" @default.
- W2053056711 modified "2023-10-18" @default.
- W2053056711 title "Improvements on Taylor's upper bound for rigid-plastic composites" @default.
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- W2053056711 doi "https://doi.org/10.1016/0921-5093(94)91039-1" @default.
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