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Thermoelastic stability of trusses with temperature‐dependent constitutive relations
Author(s) -
Wriggers P.,
Reese S.
Publication year - 1992
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.1620350910
Subject(s) - thermoelastic damping , truss , finite element method , linearization , tangent , constitutive equation , mathematics , computation , stability (learning theory) , operator (biology) , mathematical analysis , nonlinear system , thermal , structural engineering , computer science , geometry , engineering , physics , algorithm , thermodynamics , biochemistry , chemistry , quantum mechanics , machine learning , repressor , transcription factor , gene
This paper is concerned with stability problems of spatial trusses due to thermal and mechanical loading. A fully coupled thermomechanical truss element is formulated which accounts also for the temperature dependence of the constitutive parameters. The formulation leads to a non‐linear problem which is solved by the finite element method. The computation of critical points is based on the linearization of the coupled weak form which yields a non‐symmetric tangent operator. The formulation and its associated algorithmic treatment is validated by means of examples.