@book{2021:hubrich:the_hierar,
title = {The hierarchical finite cell method for nonlinear problems: Moment fitting quadratures, basis function removel, and remeshing},
year = {2021},
note = {In this thesis, several approaches are discussed in order to
further enhance the performance of the finite cell method (FCM).
Thereby, novel moment fitting quadrature schemes are introduced that
allow to reduce the effort of the numerical integration process
significantly. Further, a basis function removal scheme is proposed to
improve the conditioning behavior of the resulting equation system.
Finally, an innovative remeshing strategy is presented that overcomes
the problem of severely distorted elements for simulations with large
deformations.Contents1 Introduction 11.1 Motivation . . . . . . . . .
. . . . . . . . . . . . . . . . . . . . . . . . . . . 11.2 Goal and
scope of this thesis . . . . . . . . . . . . . . . . . . . . . . . . .
. 31.3 Outline of this thesis . . . . . . . . . . . . . . . . . . . .
. . . . . . . . . . 42 Basic elements of continuum mechanics 62.1
Kinematics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
. . . . . 62.1.1 Motion and deformation . . . . . . . . . . . . . . .
. . . . . . . . . 62.1.2 Strain measures . . . . . . . . . . . . . . .
. . . . . . . . . . . . . . 102.2 Equilibrium and stress measures . .
. . . . . . ....},
edition = {1},
publisher = {VDI Verlag},
address = {Düsseldorf},
series = {Mechanik/Bruchmechanik},
volume = {355},
author = {Hubrich, Simeon}
}