Zobrazeno 1 - 10
of 40
pro vyhledávání: '"Justin T. Webster"'
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 3, Pp 614-647 (2019)
We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms provided through
Externí odkaz:
https://doaj.org/article/ae56a7d987304f45b83e41b13d71bf08
Publikováno v:
Mathematical Models and Methods in Applied Sciences. 33:505-545
The strong asymptotic stabilization of 3D hyperbolic dynamics is achieved by a damped 2D elastic structure. The model is a Neumann wave-type equation with low regularity coupling conditions given in terms of a nonlinear von Karman plate. This problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6b3c94907f811ad1d07bbc3199c787c2
https://doi.org/10.1142/s0218202523500124
https://doi.org/10.1142/s0218202523500124
Publikováno v:
Archive of Applied Mechanics. 92:1929-1952
The large deflections of cantilevered beams and plates are modeled and discussed. Traditional nonlinear elastic models (e.g., that of von Karman) employ elastic restoring forces based on the effect of stretching on bending, and these are less applica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::329daddc9a406e20aa7306b229bcfd7c
https://doi.org/10.1007/s00419-022-02157-7
https://doi.org/10.1007/s00419-022-02157-7
Autor:
Lorena Bociu, Justin T. Webster
Publikováno v:
Journal of Differential Equations. 296:242-278
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 and dilation through the system's permeability tensor. Such a model has
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e61eb502cf0ddf2b5b890011dd5942e
https://doi.org/10.1016/j.jde.2021.05.060
https://doi.org/10.1016/j.jde.2021.05.060
We consider quasi-static nonlinear poroelastic systems with applications in biomechanics and, in particular, tissue perfusion. The nonlinear permeability is taken to be dependent on solid dilation, and physical types of boundary conditions (Dirichlet
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cabd849596bf51871eb6f492f47905cd
http://arxiv.org/abs/2108.10977
http://arxiv.org/abs/2108.10977
Publikováno v:
Journal of Mathematical Analysis and Applications. 477:334-356
We address semigroup well-posedness for a linear, compressible viscous fluid interacting at its boundary with an elastic plate. We derive the model by linearizing the compressible Navier-Stokes equations about an arbitrary flow state, so the fluid PD
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d252589823b549d05902c3f0dcb8b842
https://doi.org/10.1016/j.jmaa.2019.04.034
https://doi.org/10.1016/j.jmaa.2019.04.034
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 3, Pp 614-647 (2019)
We consider a beam model representing the transverse deflections of a one dimensional elastic structure immersed in an axial fluid flow. The model includes a nonlinear elastic restoring force, with damping and non-conservative terms provided through
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0d54eab2d20468148d6b78e95fba2a4c
https://www.aimspress.com/article/10.3934/mine.2019.3.614/fulltext.html
https://www.aimspress.com/article/10.3934/mine.2019.3.614/fulltext.html
Autor:
Justin T. Webster, Elena Gurvich
We consider a recent plate model obtained as a scaled limit of the three dimensional Biot system of poro-elasticity. The result is a "2.5" dimensional linear system that couples traditional Euler-Bernoulli plate dynamics to a pressure equation in thr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cf6ca28bbf722a9050b598a17ed3515e
http://arxiv.org/abs/2103.07569
http://arxiv.org/abs/2103.07569
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, linear, poroelastic plate layer (in direct contact with the free Stokes flo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c96b969ac69cabbc6386cd9ec1b8e45
http://arxiv.org/abs/2011.12602
http://arxiv.org/abs/2011.12602
Autor:
Justin T. Webster, Maria Deliyianni
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 restoring forces are due to the effect of stretching on bending; for an inext
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4115a7eaf7a2b2faba677028632bac1e
http://arxiv.org/abs/2005.11836
http://arxiv.org/abs/2005.11836