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Finite Element Analysis of Structures at High Temperatures with Special Application to Plane Steel Beams and Frames

Peterson, Anders (1984) In TVSM
Abstract
Nonlinear analysis of structures at high temperatures is studied. Both geometric and material nonlinearities are taken into account.
Continuum mechanics relations are used to derive general finite element equations. An alternative formulation to Total Lagrangian (TL) and Updated Lagrangian (UL) formulations named Partially updated Lagrangian (PL) formulation i presented.
An isotropic small strain constitutive model using the von Mises yield criterion is derived for high temperatures conditions. The model developed can be characterized as combined elastic-plastic-viscoplastic. The strain components are treated separately but plastic strains and viscoplastic (creep) strains are allowed to interact.
A new formulation of the creep... (More)
Nonlinear analysis of structures at high temperatures is studied. Both geometric and material nonlinearities are taken into account.
Continuum mechanics relations are used to derive general finite element equations. An alternative formulation to Total Lagrangian (TL) and Updated Lagrangian (UL) formulations named Partially updated Lagrangian (PL) formulation i presented.
An isotropic small strain constitutive model using the von Mises yield criterion is derived for high temperatures conditions. The model developed can be characterized as combined elastic-plastic-viscoplastic. The strain components are treated separately but plastic strains and viscoplastic (creep) strains are allowed to interact.
A new formulation of the creep behaviour is given. Both primary and secondary creep are considered.
As an application of the derived finite element equations and the constitutive model steel beams and frames are studied. The theory is implemented in a computer program, CALFEM. The program operates on a command language with possibilities to store user-defined matrices on files and to create macro commands.
Comparison with experimental observations shows that the present theory well describes experimentally observed phenomena. (Less)
Please use this url to cite or link to this publication:
author
supervisor
publishing date
type
Thesis
publication status
published
subject
keywords
Finite element method, Constitutive model, High temperature, Plasticity, Visco-plasticity, Creep, Steel, Beams, Frames, Computer program, Command language, Macro command
in
TVSM
issue
1001
edition
1
pages
151 pages
publisher
Division of Structural Mechanics, LTH
language
English
LU publication?
no
id
c11f82a5-7cdf-4baf-bc89-9ab6d9d60c76
date added to LUP
2023-06-02 17:15:20
date last changed
2023-09-29 14:38:19
@phdthesis{c11f82a5-7cdf-4baf-bc89-9ab6d9d60c76,
  abstract     = {{Nonlinear analysis of structures at high temperatures is studied. Both geometric and material nonlinearities are taken into account.<br/>Continuum mechanics relations are used to derive general finite element equations. An alternative formulation to Total Lagrangian (TL) and Updated Lagrangian (UL) formulations named Partially updated Lagrangian (PL) formulation i presented.<br/>An isotropic small strain constitutive model using the von Mises yield criterion is derived for high temperatures conditions. The model developed can be characterized as combined elastic-plastic-viscoplastic. The strain components are treated separately but plastic strains and viscoplastic (creep) strains are allowed to interact.<br/>A new formulation of the creep behaviour is given. Both primary and secondary creep are considered.<br/>As an application of the derived finite element equations and the constitutive model steel beams and frames are studied. The theory is implemented in a computer program, CALFEM. The program operates on a command language with possibilities to store user-defined matrices on files and to create macro commands.<br/>Comparison with experimental observations shows that the present theory well describes experimentally observed phenomena.}},
  author       = {{Peterson, Anders}},
  keywords     = {{Finite element method; Constitutive model; High temperature; Plasticity; Visco-plasticity; Creep; Steel; Beams; Frames; Computer program; Command language; Macro command}},
  language     = {{eng}},
  number       = {{1001}},
  publisher    = {{Division of Structural Mechanics, LTH}},
  series       = {{TVSM}},
  title        = {{Finite Element Analysis of Structures at High Temperatures with Special Application to Plane Steel Beams and Frames}},
  url          = {{https://lup.lub.lu.se/search/files/148773735/web1001.pdf}},
  year         = {{1984}},
}