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On behalf of the European Association for the Control of Structures, the organizers of the European conference on structural control and the partners of the SureROB project would like to invite you to attend a talk on "Continuous media of higher order – Microstructures and mechanisms".
Continuous media of higher order – Microstructures and mechanisms
Prof. Claude Boutin, École Nationale des Travaux Publics de l'État, France (Short bio here: https://www.entpe.fr/media/claude-boutin-media-954)
Abstract
Procedures of control or monitoring structural behavior rely, on the one hand, on measurements and, on the other, on mechanical models. In fact, analyzing data within an appropriate physical framework enhances the effectiveness of the identification methods used for control, prediction, or diagnosis. However, complex mechanical systems may exhibit behaviors that are not captured by standard mechanical models.
This presentation focuses on the identification, via homogenization, of non-standard continuous models involving higher-order gradients.
In the first part, we will present examples of composite reinforced with rigid fibers and laminated glasses, the analysis of which leads, respectively, to second-order gradient media and tri-Laplacian plates. The relevance of these models is confirmed by experimental results.
In the second part, we will focus on media exhibiting an internal mechanism. Consequently, in addition to rigid-body modes, there exists a zero-energy deformation mode (or floppy mode) whose amplitude appears as an additional kinematic descriptor. In the case of pantographic plates, the floppy mode is a deviatoric mode, and the corresponding model is a second-gradient model in shear. In the case of periodic bi-parallelograms articulate system, the floppy mode is of constant curvature, and the 1D continuous model is then a beam whose the elastic energy depends on the curvature gradient.
In practice, these enriched media allow for a description consistent with the physics of the medium. It is also important to note that special attention must then be paid to the boundary conditions, which differ from those of standard media.
Head over to the conference website for more information. We look forward to your attendance!
