[en] In addition to the well-known classical displacement-based and mixed displacement-stress formulations of 3D elasticity a number of non-standard formulations can be derived. We will discuss and compare (a) the tangential-displacement normal-normal-stress (TDNNS) form [1], (b) a novel stress-only formulation [2], and (c) a spectral formulation using principal strain and stress quantities [3] including their respective requirements on boundary conditions as well as implementation aspects with FEniCSx.
Numerical examples and demos based on the extension package `dolfiny` (https://github.com/fenics-dolfiny/dolfiny) are presented.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
ZILIAN, Andreas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)
Language :
English
Title :
Non-standard formulations of 3D elasticity with FEniCSx
