Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Nitschke, Ingo"'
Autor:
Nitschke, Ingo, Voigt, Axel
We consider active nematodynamics on deformable surfaces. Based on a thermodynamically consistent surface Beris-Edwards model we add nematic activity and focus on the emerging additional coupling mechanism between the nematic field, the flow field an
Externí odkaz:
http://arxiv.org/abs/2405.13683
Autor:
Nitschke, Ingo, Voigt, Axel
Using the Lagrange-D'Alembert principle we develop thermodynamically consistent surface Beris-Edwards models. These models couple viscous inextensible surface flow with a Landau-de Gennes-Helfrich energy and consider the simultaneous relaxation of th
Externí odkaz:
http://arxiv.org/abs/2311.06240
We present a mesoscale description of deformations and defects in thin, flexible sheets with crystalline order, tackling the interplay between in-plane elasticity, out-of-plane deformation, as well as dislocation nucleation and motion. Our approach i
Externí odkaz:
http://arxiv.org/abs/2309.11371
We consider two-phase fluid deformable surfaces as model systems for biomembranes. Such surfaces are modeled by incompressible surface Navier-Stokes-Cahn-Hilliard-like equations with bending forces. We derive this model using the Lagrange-D'Alembert
Externí odkaz:
http://arxiv.org/abs/2305.15147
Autor:
Nitschke, Ingo, Voigt, Axel
Observer-invariance is regarded as a minimum requirement for an appropriate definition of time derivatives. We systematically discuss such time derivatives for surface tensor field and provide explicit formulations for material, upper-convected, lowe
Externí odkaz:
http://arxiv.org/abs/2304.07220
We consider gradient flows of surface energies which depend on the surface by a parameterization and on a tangential tensor field. The flow allows for dissipation by evolving the parameterization and the tensor field simultaneously. This requires the
Externí odkaz:
http://arxiv.org/abs/2209.13272
Publikováno v:
In Mechanics of Materials November 2024 198
Autor:
Nitschke, Ingo, Voigt, Axel
Observer-invariance is regarded as a minimum requirement for an appropriate definition and derived systematically from a spacetime setting, where observer-invariance is a special case of a covariance principle and covered by Ricci-calculus. The analy
Externí odkaz:
http://arxiv.org/abs/2007.01177
Fluid deformable surfaces show a solid-fluid duality which establishes a tight interplay between tangential flow and surface deformation. We derive the governing equations as a thin film limit and provide a general numerical approach for their soluti
Externí odkaz:
http://arxiv.org/abs/2003.10264
Uniaxial nematic liquid crystals whose molecular orientation is subjected to a tangential anchoring on a curved surface offer a non trivial interplay between the geometry and the topology of the surface and the orientational degree of freedom. We con
Externí odkaz:
http://arxiv.org/abs/1912.08685