4 papers
Hyperelastic Membranes with Implicitly Defined, Continuously Embedded Fibers
Michael Wolfgang Kaiser, Thomas-Peter Fries
A novel mechanical model and corresponding finite element method for anisotropic, hyperelastic, curved membranes are proposed. Hyperelastic fibers are embedded into the otherwise i…
Simultaneous analysis of curved Kirchhoff beams and Kirchhoff--Love shells embedded in bulk domains
Jonas Neumeyer, Michael Wolfgang Kaiser, Thomas-Peter Fries
A set of curved beams and shells is geometrically implied by level sets of a scalar function over some bulk domain. The mechanical model for each structure is based on the Kirchhof…
Higher-order, mixed-hybrid finite elements for Kirchhoff-Love shells
Jonas Neumeyer, Michael Wolfgang Kaiser, Thomas-Peter Fries
A novel mixed-hybrid method for Kirchhoff-Love shells is proposed that enables the use of classical, possibly higher-order Lagrange elements in numerical analyses. In contrast to p…
Simultaneous solution of incompressible Navier-Stokes flows on multiple surfaces
Michael Wolfgang Kaiser, Thomas-Peter Fries
A mechanical model and finite element method for the simultaneous solution of Stokes and incompressible Navier-Stokes flows on multiple curved surfaces over a bulk domain are propo…