Premium
Kirchhoff‐Love shell theory based on Tangential Differential Calculus
Author(s) -
Schöllhammer Daniel,
Fries ThomasPeter
Publication year - 2018
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201800170
Subject(s) - stress resultants , shell (structure) , mathematics , parametrization (atmospheric modeling) , differential calculus , calculus (dental) , differential (mechanical device) , ordinary differential equation , mathematical analysis , surface (topology) , differential equation , geometry , physics , finite element method , engineering , medicine , dentistry , quantum mechanics , thermodynamics , radiative transfer , civil engineering
We propose a parametrization‐free reformulation of the classical Kirchhoff‐Love shell equations in terms of tangential differential calculus. An advantage of our approach is that the surface may be defined implicitly, and the resulting shell equations and stress resultants lead to a more compact and intuitive implementation. Numerical tests are performed and it is confirmed that the obtained approach is equivalent to the classical formulation based on local coordinates.