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Ritz solutions for axisymmetric temperature and stress fields in finite elastic cylinders
Author(s) -
Tauchert Theodore R.
Publication year - 1978
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620120315
Subject(s) - orthotropic material , finite element method , ritz method , lagrange multiplier , rotational symmetry , thermal conduction , mathematics , cylinder , mathematical analysis , stress (linguistics) , geometry , materials science , structural engineering , engineering , mathematical optimization , boundary value problem , composite material , linguistics , philosophy
Abstract Variational formulations are given for the stationary heat conduction and thermodelasticity problems of an orthotropic, non‐homogeneous, finite length, cylinder. It is demonstrated that a single‐element approach based upon Ritz approximations and the method of Lagrange multipliers offers and efficient means for computing the temperature and thermal stress distributions.