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Normalization of cohesive laws for quasi-brittle materials

Tryding, Johan LU and Ristinmaa, Matti LU (2017) In Engineering Fracture Mechanics
Abstract

Analytical relations to describe experimentally measured traction-separation laws are often expressed in dimensionless quantities. The traction and the separation are commonly normalized using the cohesive strength and a length measure, respectively. The ratio between the fracture energy and the cohesive strength is often used as a length measure. An alternative length measure is the ratio between the cohesive strength and the maximum slope of the traction-separation law. A relation between these two length measures are established. To illustrate the implications on cohesive laws, three existing cohesive laws are rewritten using the alternative normalization. As a result it is shown that the number of unknown material parameters can be... (More)

Analytical relations to describe experimentally measured traction-separation laws are often expressed in dimensionless quantities. The traction and the separation are commonly normalized using the cohesive strength and a length measure, respectively. The ratio between the fracture energy and the cohesive strength is often used as a length measure. An alternative length measure is the ratio between the cohesive strength and the maximum slope of the traction-separation law. A relation between these two length measures are established. To illustrate the implications on cohesive laws, three existing cohesive laws are rewritten using the alternative normalization. As a result it is shown that the number of unknown material parameters can be reduced. One of the derived dimensionless cohesive law is validated against experimental uniaxial tension and compression load-deformation data of different sample sizes and different quasi-brittle materials, i.e. concrete and paperboard. A good fit of the cohesive law is shown to all the investigated data. These findings indicate that the derived normalized cohesive law is independent of material directions, moisture contents and sample size.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Cohesive laws, Concrete, Normalization, Paperboard
in
Engineering Fracture Mechanics
publisher
Elsevier
external identifiers
  • scopus:85015749130
  • wos:000403127100023
ISSN
0013-7944
DOI
10.1016/j.engfracmech.2017.03.020
language
English
LU publication?
yes
id
a0b029aa-220b-4618-a7ce-34a9259830b4
date added to LUP
2017-04-06 12:17:21
date last changed
2018-01-07 11:58:18
@article{a0b029aa-220b-4618-a7ce-34a9259830b4,
  abstract     = {<p>Analytical relations to describe experimentally measured traction-separation laws are often expressed in dimensionless quantities. The traction and the separation are commonly normalized using the cohesive strength and a length measure, respectively. The ratio between the fracture energy and the cohesive strength is often used as a length measure. An alternative length measure is the ratio between the cohesive strength and the maximum slope of the traction-separation law. A relation between these two length measures are established. To illustrate the implications on cohesive laws, three existing cohesive laws are rewritten using the alternative normalization. As a result it is shown that the number of unknown material parameters can be reduced. One of the derived dimensionless cohesive law is validated against experimental uniaxial tension and compression load-deformation data of different sample sizes and different quasi-brittle materials, i.e. concrete and paperboard. A good fit of the cohesive law is shown to all the investigated data. These findings indicate that the derived normalized cohesive law is independent of material directions, moisture contents and sample size.</p>},
  author       = {Tryding, Johan and Ristinmaa, Matti},
  issn         = {0013-7944},
  keyword      = {Cohesive laws,Concrete,Normalization,Paperboard},
  language     = {eng},
  month        = {03},
  publisher    = {Elsevier},
  series       = {Engineering Fracture Mechanics},
  title        = {Normalization of cohesive laws for quasi-brittle materials},
  url          = {http://dx.doi.org/10.1016/j.engfracmech.2017.03.020},
  year         = {2017},
}