A computational model is developed for the analysis of elastic, partially plastic and residual stress states in long functionally graded (FGM) rotating solid shafts. The modulus of elasticity, Poisson's ratio, uniaxial yield limit and density of the shaft material are assumed to vary radially in any prescribed functional forms. Small deformations and a state of generalized plane strain are presumed. Using the von Mises' yield criterion, total deformation theory and a Swift-type nonlinear hardening law, a single nonlinear equation describing elastoplastic behavior of rotating shafts is obtained. A shooting technique using Newton iterations with numerically approximated tangents is designed and used for the computer solution of the governing equation. The model is verified by comparing predictions with elastoplastic solutions of homogeneous shafts available in the literature.
No takes yet. Share an insight, caveat, or question.
Argeso et al. (2007) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: