4 papers
Isogeometric continuity constraints for multi-patch shells governed by fourth-order deformation and phase field models
Karsten Paul, Christopher Zimmermann, Thang X. Duong +1
This work presents numerical techniques to enforce continuity constraints on multi-patch surfaces for three distinct problem classes. The first involves structural analysis of thin…
An adaptive space-time phase field formulation for dynamic fracture of brittle shells based on LR NURBS
Karsten Paul, Christopher Zimmermann, Kranthi K. Mandadapu +3
We present an adaptive space-time phase field formulation for dynamic fracture of brittle shells. Their deformation is characterized by the Kirchhoff-Love thin shell theory using a…
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…
Adaptive local surface refinement based on LR NURBS and its application to contact
Christopher Zimmermann, Roger A. Sauer
A novel adaptive local surface refinement technique based on Locally Refined Non-Uniform Rational B-Splines (LR NURBS) is presented. LR NURBS can model complex geometries exactly a…