On the combined bending and twisting of beams of various sections
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Uniformly strained anisotropic elastoplastic rods: Determination of elastoplastic constitutive relations and yield surface in terms of rod's variables
2023, European Journal of Mechanics, A/SolidsThe role of plasticity in combined torsion and bending of elastic–plastic guidewires
2021, Journal of the Mechanics and Physics of SolidsCitation Excerpt :Steele (1955) continued the work of Hill and Siebel (1953) to obtain the upper and lower loading bounds for a perfectly plastic bar with square cross section. Gaydon and Nuttali (1957) applied the theory of Hill and Siebel (1953) to investigate yielding of perfectly plastic prisms of various cross sections. Sankaranarayanan and Hodge (1958) simplified the yield analysis by considering a piecewise linear yield surface while retaining reasonable accuracy.
Effect of Flexural Stress on Torsional Resistance of NiTi Instruments
2021, Journal of EndodonticsCitation Excerpt :Moreover, the higher the curvature degree, the higher the torsional resistance. These unexpected results can be explained with some engineering knowledge concerning the applied forces and the resulting loads20–22. First of all, it is important to clarify the registered driving torque, which is provided by the endodontic motor in order to keep the rotational speed constant, has to equalize the load torque23.
Discrete Elasto-Plastic Rods
2020, Extreme Mechanics LettersCitation Excerpt :Prior works on elasto-plastic deformation of rods typically consider only bending [18,19] or twisting [20–22]. The few studies that consider combined bending and torsion restricted themselves to simplified material behavior, e.g. rigid-plastic [23–28], elastic-perfectly plastic [29–31], and Ramberg–Osgood stress–strain law [32]. This motivates us to develop a simulation algorithm for elasto-plastic rods that can account for combined bending, twisting, and stretching for an infinite number of loading and unloading cycles.
Plastic interaction relations for semi-elliptical hollow sections
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