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Implicit Analysis of Reissner–Mindlin shells with the Trace FEM
Author(s) -
Schöllhammer Daniel,
Fries Thomas-Peter
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000049
Subject(s) - finite element method , trace (psycholinguistics) , shell (structure) , discretization , boundary value problem , mathematics , mathematical analysis , geometry , structural engineering , engineering , mechanical engineering , philosophy , linguistics
The linear Reissner–Mindlin shell is discretized with the Trace FEM. The geometry of the shell is implicitly defined by means of (multiple) level‐set functions. The implementational aspects of the Trace FEM, i.e., integration, stabilization and essential boundary conditions, are considered in detail resulting in a higher‐order accurate Trace FEM.