...J.R. Banerjee; D. Kennedy; I. Elishakoff In this paper, the theory of a Timoshenko–Ehrenfest beam is revisited and given a new perspective with particular emphasis on the relative significances of the parameters underlying the theory. The investigation is intended to broaden the scope...

... model, and the traditional elasticity theory, is invoked to realize the size effects at the ultra-small scale. Compatible with the kinematics of the Timoshenko–Ehrenfest beam, a stationary variational framework is established. The boundary-value problem of dynamic equilibrium along with the constitutive...

.... 5 ); while, Timoshenko–Ehrenfest beam systems generally require the use of lower class GPSFs (i.e., C 0 as in Fig. 4 ). Fig. 6 Beam-type system with inner complexities Beam-type system with inner complexities Therefore, based on the assumed displacement field Eq. (3) which...