Thermodynamical Consequences of Strain Softening in Tension
(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:
https://lup.lub.lu.se/record/930597
- author
- Ottosen, Niels Saabye LU
- organization
- publishing date
- 1986
- 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}}, }