Mathematical modelling of welded pipes and plates using Cosserat theory
Mathematical modelling of welded pipes and plates using Cosserat theory
Creep deformation in welded pipes and plates is of particular importance in the
power industries. Most failures of welded pipes occur in the type IV region at the
boundary with the parent material, which is relatively much harder.
This thesis extends the work of Nicol (1985), Hawkes (1989) and Newman (1993)
on the Cosserat theory of plates and shells, and has two major aims. The first is to
develop the work of Hawkes to model successfully the strain rates in four-zone, thickwalled
welded pipes. It is possible to determine the effects that the thickness of the
pipe wall, the radius of the pipe and the creep index, n, in Norton's law have on the
strain-rate distribution throughout the pipe. Using Continuum Damage Mechanics and
this Cosserat model, the position and time to rupture in welded pipes is then calculated.
The second aim of this thesis is to develop further the initial modelling work of
Nicol (1985) and Hawkes (1989) by obtaining some simple perturbation models for
both welded pipes and plates. The results obtained with the perturbation solutions
are then compared with the numerical solutions of Newman (1993) for a plate and the
numerical solutions derived in this thesis for a pipe.
Buck, Alec
219d269d-3968-470b-bdce-0da44685e89a
May 1998
Buck, Alec
219d269d-3968-470b-bdce-0da44685e89a
Buck, Alec
(1998)
Mathematical modelling of welded pipes and plates using Cosserat theory.
University of Southampton, Department of Mathematics, Doctoral Thesis, 223pp.
Record type:
Thesis
(Doctoral)
Abstract
Creep deformation in welded pipes and plates is of particular importance in the
power industries. Most failures of welded pipes occur in the type IV region at the
boundary with the parent material, which is relatively much harder.
This thesis extends the work of Nicol (1985), Hawkes (1989) and Newman (1993)
on the Cosserat theory of plates and shells, and has two major aims. The first is to
develop the work of Hawkes to model successfully the strain rates in four-zone, thickwalled
welded pipes. It is possible to determine the effects that the thickness of the
pipe wall, the radius of the pipe and the creep index, n, in Norton's law have on the
strain-rate distribution throughout the pipe. Using Continuum Damage Mechanics and
this Cosserat model, the position and time to rupture in welded pipes is then calculated.
The second aim of this thesis is to develop further the initial modelling work of
Nicol (1985) and Hawkes (1989) by obtaining some simple perturbation models for
both welded pipes and plates. The results obtained with the perturbation solutions
are then compared with the numerical solutions of Newman (1993) for a plate and the
numerical solutions derived in this thesis for a pipe.
Text
00067480.pdf
- Other
Restricted to Repository staff only
More information
Published date: May 1998
Organisations:
University of Southampton
Identifiers
Local EPrints ID: 50643
URI: http://eprints.soton.ac.uk/id/eprint/50643
PURE UUID: 9168d426-0384-42dc-be7c-4e9a61bfd685
Catalogue record
Date deposited: 06 Apr 2008
Last modified: 13 Mar 2019 20:50
Export record
Contributors
Author:
Alec Buck
University divisions
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics