This study presents three formulations for the static, dynamic, and fracture simulations of
planar arbitrarily curved beams using kinematic assumptions of Timoshenko-Ehrenfest …

This study elaborates the invariance of spatial Timoshenko–Ehrenfest​ beam formulations
in the context of isogeometric analysis. Such invariance confirms that zero strain measures …

This study considers Timoshenko beam theory and the isogeometric analysis method to
investigate the free vibration and buckling of axially functionally graded (AFG) tapered …

In this paper, we present numerical investigations on static bending and free vibration
behaviors of spatially curved functionally graded (FG) microbeam using isogeometric …

In the isogeometric formulation for three-dimensional Kirchhoff rods, the invariance is
required such that rigid-body modes associated with translations and infinitesimal rotations …

This paper presents a configuration and sizing design optimization method for large
deformation planar compliant mechanisms, using a continuum-based adjoint design …

Abstract Several Timoshenko-Ehrenfest beam formulations have been presented in the
literature for analysis of planar beam structures. In general, the displacements of the beam …

This study elaborates the invariance of spatial Timoshenko beam formulations in the context
of isogeometric analysis. Such invariance confirms that zero strain measures are always …