Premium
Reissner–Mindlin shell theory based on Tangential Differential Calculus
Author(s) -
Schöllhammer Daniel,
Fries ThomasPeter
Publication year - 2019
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201900099
Subject(s) - shell (structure) , parametrization (atmospheric modeling) , differential calculus , mathematics , calculus (dental) , differential (mechanical device) , calculus of variations , mathematical analysis , physics , engineering , medicine , dentistry , thermodynamics , civil engineering , quantum mechanics , radiative transfer
We propose a reformulation of the linear Reissner–Mindlin shell theory in terms of tangential differential calculus. An advantage of our approach is that shell analysis on implicitly defined surfaces is enabled and a parametrization of the surface is not required. In addition, the implementation is more compact and intuitive compared to the classical approach. The numerical results confirm, that this approach is equivalent to the classical theory based on local coordinates.