  The numerical simulation of additive manufacturing techniques promises the
acceleration of costly experimental procedures to identify suitable process
parameters. We recently proposed Floating Isogeometric Analysis (FLIGA), a new
computational solid mechanics approach, which is mesh distortion-free in one
characteristic spatial direction. FLIGA emanates from Isogeometric Analysis and
its key novel aspect is the concept of deformation-dependent "floating" of
individual B-spline basis functions along one parametric axis of the mesh. Our
previous work showed that FLIGA not only overcomes the problem of mesh
distortion associated to this direction, but is also ideally compatible with
material point integration and enjoys a stability similar to that of
conventional Lagrangian mesh-based methods. These features make the method
applicable to the simulation of large deformation problems with
history-dependent constitutive behavior, such as additive manufacturing based
on polymer extrusion. In this work, we enhance the first version of FLIGA by
(i) a novel quadrature scheme which further improves the robustness against
mesh distortion, (ii) a procedure to automatically regulate floating of the
basis functions (as opposed to the manual procedure of the first version), and
(iii) an adaptive refinement strategy. We demonstrate the performance of
enhanced FLIGA on relevant numerical examples including a selection of
viscoelastic extrusion problems.
