BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Eduard Rohan (University of West Bohemia\, Pilsen) DTSTART:20240325T144000Z DTEND:20240325T161000Z DTSTAMP:20260405T175451Z UID:NSCM/139 DESCRIPTION:Title: H omogenization based model of flows in piezoelectric porous metamaterials d riven by peristaltic deformation\nby Eduard Rohan (University of West Bohemia\, Pilsen) as part of Nečas Seminar on Continuum Mechanics\n\nLect ure held in Room K3\, Faculty of Mathematics and Physics\, Charles Univer sity\, Sokolovská 83 Prague 8..\n\nAbstract\nThe seminar talk is devoted to the multiscale modelling of an electroactive porous material intended for fluid transport. Its functionality is based on the peristaltic flow wh ich is induced by deforming pore walls. This phenomenon is of a great impo rtance in physiology and biomechanics\, however\, as a driving mechanism o f fluid transport\, it presents and important and challenging issue in the design of smart ``bio-inspired'' materials. We consider locally periodic porous structures saturated by a Newtonian fluid. The peristaltic deforma tion wave of the microchannels is induced by a convenient local control of piezoelectric segments. Several issues related to the construction of a c omputationally efficient two-scale metamaterial model within the homogeniz ation framework will be presented. We consider relatively small deformatio n which enables to use the linear kinematic framework. The poro-piezoelect ric model derived in [1] is extended for the viscous fluid flow while resp ecting the inertia effects in both the phases. Using the homogenization ba sed on the classic asymptotic analysis\, cell problems (at the microlevel) are obtained which provide characteristic responses of the microstructure s with respect to macroscopic strains\, fluid pressure and electric potent ials. These responses are needed to compute the effective (homogenized) pa rameters of the macroscopic problem which depend on the microconfiguration . The numerical studies demonstrate that such a linear model cannot captur e the desired pumping effect of the homogenized continuum. To achieve this functionality of the model\, it is necessary to account for the nonlinear ity associated with deformation-dependent microconfigurations. To avoid hu rdles associated with a fully nonlinear two-scale model\, we apply a linea rization procedure based on the sensitivity analysis of the local characte ristic responses with respect to the deformation induced by the macroscopi c quantities. In this way\, by virtue of the methodology introduced in [2] \, we get first-order expansions of all the homogenized coefficients. The dynamic effects lead to the macroscopic flow model in a convolution form. For this option\, a special treatment of the deformation-dependent dynamic permeability is needed. Numerical examples illustrate efficiency of the p roposed computational approach [3].\n\n\n[1] E. Rohan\, V. Lukeš. On mode lling nonlinear phenomena in deforming heterogeneous media using homogeniz ation and sensitivity analysis concepts. Applied Mathematics and Computati on (2015) 267:583-595.\n\n[2] E. Rohan\, V. Lukeš. Homogenization of the fluid-saturated piezoelectric porous media. Int. Jour. Solids and Structur es (2018) 147:110-125.\n\n[3] E. Rohan\, V. Lukeš. Homogenization of peri staltic flows in piezoelectric porous media. (2023) arXiv:2304.05393v1\, h ttps://doi.org/10.48550/arXiv.2304.05393\n LOCATION:https://researchseminars.org/talk/NSCM/139/ END:VEVENT END:VCALENDAR