20 citations · 52 across the 8 of their papers we have counts for
8 papers
Monolithic solution and null-space condensation of internal variables in finite viscoelasticity
A. K. K. Sethuraman, C. Hesch
Finite-strain viscoelasticity is commonly discussed from a constitutive perspective, whereas the nonlinear solution architecture induced by time and space discretization is studied…
Space--time formulation of geometrically exact beams
C. Hesch, E. Sahin
We formulate the dynamics of a straight-reference geometrically exact Cosserat beam as a directed world sheet in non-relativistic space--time. The centerline history is embedded in…
Computational homogenization of phase-field fracture
Felix Schmidt, Stefan Schuß, Christian Hesch
In this contribution we investigate the application of phase-field fracture models on non-linear multiscale computational homogenization schemes. In particular, we introduce differ…
Variational formulation and monolithic solution of computational homogenization methods
Christian Hesch, Felix Schmidt, Stefan Schuß
In this contribution, we derive a consistent variational formulation for computational homogenization methods and show that traditional FE2 and IGA2 approaches are special discreti…
Computational homogenization of higher-order continua
Felix Schmidt, Melanie Krüger, Marc-Andre Keip +1
We introduce a novel computational framework for the multiscale simulation of higher-order continua that allows for the consideration of first-, second- and third- order effects at…
Multidimensional coupling: A variationally consistent approach to fiber-reinforced materials
Ustim Khristenko, Stefan Schuß, Melanie Krüger +3
A novel mathematical model for fiber-reinforced materials is proposed. It is based on a 1-dimensional beam model for the thin fiber structures, a flexible and general 3-dimensional…
A strain-gradient formulation for fiber reinforced polymers: Hybrid phase-field model for porous-ductile fracture
Maik Dittman, Jonathan Schult, Felix Schmidt +1
A novel numerical approach to analyze the mechanical behavior within composite materials including the inelastic regime up to final failure is presented. Therefore, a second-gradie…
Frontiers in Mortar Methods for Isogeometric Analysis
Christian Hesch, Ustim Khristenko, Rolf Krause +4
Complex geometries as common in industrial applications consist of multiple patches, if spline based parametrizations are used. The requirements for the generation of analysis-suit…