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G. I. Taylor revisited: The cone of unextended directions in double slip. (English) Zbl 0772.73008

Summary: Recently developed general equations for the cone of unextended directions in arbitrary double slip in f.c.c. crystals, in each of uniaxial tension and compression, are applied to the interpretation of finite deformation measurements from the classic series of papers (1923- 27) by G. I. Taylor [Proc. R. Soc. Lond. A 116, 39 ff. (1927)] on cubic metal crystals. Measurements of comparable completeness are not found readily elsewhere in the literature. From the equations and the experimental data (including lattice positions from \(X\)-ray diffraction analysis), the respective amounts of finite double slip are calculated for several cases from comparisons of theoretical and experimentally determined cones in stereographic projection. Apparent misconceptions in the literature about the subsequent deformations of Taylor’s crystals after the loading axis reached a crystallographic symmetry line are addressed.

MSC:

74E10 Anisotropy in solid mechanics
74C15 Large-strain, rate-independent theories of plasticity (including nonlinear plasticity)
74C20 Large-strain, rate-dependent theories of plasticity
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