... modulus and bifurcation strain of single-wall carbon nanotubes. Without losing generality, we discuss the noncentrosymmetric atomic structure that can be decomposed two centrosymmetric sublattice structures. The shift vector between two sublattice structures is denoted by ζ . The bond vector...

... to characterize the localized necking (or localized bifurcation) mechanism in elastoplastic materials. The plastic anisotropy of materials is considered. A generalized deformation theory of plasticity is proposed. The theory considers Hosford’s high-order yield criterion (1979), Hill’s quadratic yield criterion...

... that the deformation inside the neck is also proportional throughout the deformation process. In other words, the initiation of the strain localization does not change the strain rate ratio inside the neck, the proportional loading condition inside the neck will simplify the bifurcation problem and make it possible...

...A. S. Argon The mechanisms of brittle-to-ductile transition of fracture in intrinsically brittle crystalline solids such as structural steel have been of great technological interest for a long time. While much useful phenomenology on this important bifurcation behavior has evolved through material...