173 citations · 1.4k across the 55 of their papers we have counts for
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An objective isogeometric mixed finite element formulation for nonlinear elastodynamic beams with incompatible warping strains
Myung-Jin Choi, Sven Klinkel, Simon Klarmann +1
We present a stable mixed isogeometric finite element formulation for geometrically and materially nonlinear beams in transient elastodynamics, where a Cosserat beam formulation wi…
A selectively reduced degree basis for efficient mixed nonlinear isogeometric beam formulations with extensible directors
Myung-Jin Choi, Roger A. Sauer, Sven Klinkel
The effect of higher order continuity in the solution field by using NURBS basis function in isogeometric analysis (IGA) is investigated for an efficient mixed finite element formu…
New hybrid quadrature schemes for weakly singular kernels applied to isogeometric boundary elements for 3D Stokes flow
Maximilian Harmel, Roger Andrew Sauer
This work proposes four novel hybrid quadrature schemes for the efficient and accurate evaluation of weakly singular boundary integrals (1/r kernel) on arbitrary smooth surfaces. S…
An isogeometric finite element formulation for frictionless contact of Cosserat rods with unconstrained directors
Myung-Jin Choi, Sven Klinkel, Roger A. Sauer
This paper presents an isogeometric finite element formulation for nonlinear beams with impenetrability constraints, based on the kinematics of Cosserat rods with unconstrained dir…
A nonlinear thermomechanical formulation for anisotropic volume and surface continua
Reza Ghaffari, Roger A. Sauer
A thermomechanical, polar continuum formulation under finite strains is proposed for anisotropic materials using a multiplicative decomposition of the deformation gradient. First,…
An isogeometric finite element formulation for phase transitions on deforming surfaces
Christopher Zimmermann, Deepesh Toshniwal, Chad M. Landis +3
This paper presents a general theory and isogeometric finite element implementation for studying mass conserving phase transitions on deforming surfaces. The mathematical problem i…
C1-continuous space-time discretization based on Hamilton's law of varying action
Janine C. Mergel, Roger A. Sauer, Sina Ober-Blöbaum
We develop a class of C1-continuous time integration methods that are applicable to conservative problems in elastodynamics. These methods are based on Hamilton's law of varying ac…