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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)
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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
2016-04-04 13:22:35
date last changed
2018-11-21 21:13:33
@article{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    = {{American Society of Civil Engineers (ASCE)}},
  series       = {{Journal of Engineering Mechanics - ASCE}},
  title        = {{Thermodynamical Consequences of Strain Softening in Tension}},
  volume       = {{112}},
  year         = {{1986}},
}