An inverse finite element method for beam shape sensing: theoretical framework and experimental validation

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Displacement and stress monitoring of a Panamax containership using inverse finite element method (2016, methodology): “Furthermore, Cerracchio et al. (2010) and Gherlone et al. (2011, 2012, 2014) formulated a robust inverse frame element that uses kinematic assumptions of Timoshenko beam theory including stretching, bending, transverse-shear and torsion deformation modes.”
An enhanced inverse finite element method for displacement and stress monitoring of multilayered composite and sandwich structures (2017, methodology): “Since the first publication of the iFEM algorithm in [26, 27], various theoretical studies including a three-node inverse shell element [28], a four-node quadrilateral inverseshell element [29], and an efficient inverse frame element [12, 30-32] have been devoted to expanding the horizon of the iFEM”
A quadrilateral inverse-shell element with drilling degrees of freedom for shape sensing and structural health monitoring (2016, methodology): “The iFEM framework is precise, powerful and sufficiently fast for real-time applications of any type of static and dynamic loading, as well as a wide range of elastic materials since only the strain–displacement relationship is used in the formulation [10,11].”