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• W2505584372 abstract "This chapter addresses the formulation of a rod model for nonlinear analysis and presents that model in a way that is optimally suited for numerical implementation. Many of the advanced mathematical and geometric concepts of Chapter 11, such as Frenet-Serret frame, curvature and torsion of a curve, or arc length parameterization, are embedded in the formulation without requiring explicit calculation. By adopting the curvilinear coordinate vector expression of nonlinear continuum mechanics presented in Chapter 12, those geometric concepts are easily integrated into the computational framework without undue geometric complexity nor computational penalty. The finite element implementation of nonlinear rod theory is illustrated with a two-node element." @default.
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• W2505584372 date "2014-01-01" @default.
• W2505584372 modified "2023-09-24" @default.
• W2505584372 title "A Nonlinear Geometrically Exact Rod Model" @default.
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• W2505584372 doi "https://doi.org/10.1016/b978-1-85617-634-7.00013-2" @default.
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