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Relaxation of Thick-Walled Cylinders and Spheres

Ottosen, Niels Saabye LU (1982) In Journal of Applied Mechanics, ASME 49(3). p.487-491
Abstract
Using the nonlinear creep law proposed by Soderberg, closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal of Applied Mechanics, ASME
volume
49
issue
3
pages
487 - 491
publisher
American Society Of Mechanical Engineers (ASME)
external identifiers
  • Scopus:0020186102
DOI
10.1115/1.3162486
language
English
LU publication?
yes
id
d36c0ba7-b69d-4f73-8070-9b6314094082 (old id 1370235)
date added to LUP
2010-09-18 10:58:27
date last changed
2016-10-13 04:41:43
@misc{d36c0ba7-b69d-4f73-8070-9b6314094082,
  abstract     = {Using the nonlinear creep law proposed by Soderberg, closed-form solutions are derived for the relaxation of incompressible thick-walled spheres and cylinders in plane strain. These solutions involve series expressions which, however, converge very quickly. By simply ignoring these series expressions, extremely simple approximate solutions are obtained. Despite their simplicity these approximations possess an accuracy that is superior to approximations currently in use. Finally, several physical aspects related to the relaxation of cylinders and spheres are discussed.},
  author       = {Ottosen, Niels Saabye},
  language     = {eng},
  number       = {3},
  pages        = {487--491},
  publisher    = {ARRAY(0x9776508)},
  series       = {Journal of Applied Mechanics, ASME},
  title        = {Relaxation of Thick-Walled Cylinders and Spheres},
  url          = {http://dx.doi.org/10.1115/1.3162486},
  volume       = {49},
  year         = {1982},
}