Advanced

Thermodynamical Consequences of Strain Softening in Tension

Ottosen, Niels Saabye LU (1986) In Journal of Engineering Mechanics - ASCE 112(11). p.1152-1164
Abstract
The strain softening behavior of a tension bar loaded by an increasing elongation is analyzed. The constitutive model consists of linear elasticity in combination with associated plasticity theory using a maximum tensile stress criterion as yield surface. The resulting mechanical stability criterion is augmented by considerations of the use of the second law of thermodynamics. These thermodynamical considerations imply a significant reduction in the possible strain softening responses. Moreover, for very brittle material behavior, it is shown that the softening region cannot be considered to have a specific strain state, but rather is described by a strrss-elongation relation. This result provides strong physical support for a fictitious... (More)
The strain softening behavior of a tension bar loaded by an increasing elongation is analyzed. The constitutive model consists of linear elasticity in combination with associated plasticity theory using a maximum tensile stress criterion as yield surface. The resulting mechanical stability criterion is augmented by considerations of the use of the second law of thermodynamics. These thermodynamical considerations imply a significant reduction in the possible strain softening responses. Moreover, for very brittle material behavior, it is shown that the softening region cannot be considered to have a specific strain state, but rather is described by a strrss-elongation relation. This result provides strong physical support for a fictitious crack model. This crack model is then reevaluated in the spirit of a smeared crack approach and the resulting expressions turn out to be identical with those of a composite fracture model. (Less)
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 Engineering Mechanics - ASCE
volume
112
issue
11
pages
1152 - 1164
publisher
American Society of Civil Engineers (ASCE)
ISSN
1943-7889
language
English
LU publication?
yes
id
fcf3d9ec-7fe7-4bb1-a6de-59b95c4c29a5 (old id 930597)
date added to LUP
2010-09-18 10:40:13
date last changed
2016-11-18 10:24:48
@misc{fcf3d9ec-7fe7-4bb1-a6de-59b95c4c29a5,
  abstract     = {The strain softening behavior of a tension bar loaded by an increasing elongation is analyzed. The constitutive model consists of linear elasticity in combination with associated plasticity theory using a maximum tensile stress criterion as yield surface. The resulting mechanical stability criterion is augmented by considerations of the use of the second law of thermodynamics. These thermodynamical considerations imply a significant reduction in the possible strain softening responses. Moreover, for very brittle material behavior, it is shown that the softening region cannot be considered to have a specific strain state, but rather is described by a strrss-elongation relation. This result provides strong physical support for a fictitious crack model. This crack model is then reevaluated in the spirit of a smeared crack approach and the resulting expressions turn out to be identical with those of a composite fracture model.},
  author       = {Ottosen, Niels Saabye},
  issn         = {1943-7889},
  language     = {eng},
  number       = {11},
  pages        = {1152--1164},
  publisher    = {ARRAY(0xa38abf0)},
  series       = {Journal of Engineering Mechanics - ASCE},
  title        = {Thermodynamical Consequences of Strain Softening in Tension},
  volume       = {112},
  year         = {1986},
}