2 citations · 3 across the 8 of their papers we have counts for
5 papers · 1 filter
Multilayered Poroelasticity Interacting with Stokes Flow
Lorena Bociu, Sunčica Čanić, Boris Muha +1
We consider the interaction between an incompressible, viscous fluid modeled by the dynamic Stokes equation and a multilayered poroelastic structure which consists of a thin, linea…
Nonlinear Quasi-static Poroelasticity
Lorena Bociu, Justin T. Webster
We analyze a quasi-static Biot system of poroelasticity for both compressible and incompressible constituents. The main feature of this model is a nonlinear coupling of pressure an…
Long-time dynamics of a hinged-free plate driven by a non-conservative force
Denis Bonheure, Filippo Gazzola, Irena Lasiecka +1
A partially hinged, partially free rectangular plate is considered, with the aim to address the possible unstable end behaviors of a suspension bridge subject to wind. This leads t…
Theory of Solutions for An Inextensible Cantilever
Maria Deliyianni, Justin T. Webster
Recent equations of motion for the large deflections of a cantilevered elastic beam are analyzed. In the traditional theory of beam (and plate) large deflections, nonlinear restori…
Large Deflections of A Structurally Damped Panel in A Subsonic Flow
Abhishek Balakrishna, Justin T. Webster
The large deflections of panels in subsonic flow are considered. Specifically, a fully clamped von Karman plate accounting for both rotational inertia in plate filaments and struct…