Normalization of cohesive laws for quasibrittle materials
(2017) In Engineering Fracture Mechanics 178. p.333345 Abstract
Analytical relations to describe experimentally measured tractionseparation 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 tractionseparation 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 tractionseparation 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 tractionseparation 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 loaddeformation data of different sample sizes and different quasibrittle 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
 Tryding, Johan ^{LU} and Ristinmaa, Matti ^{LU}
 organization
 publishing date
 201706
 type
 Contribution to journal
 publication status
 published
 subject
 keywords
 Cohesive laws, Concrete, Normalization, Paperboard
 in
 Engineering Fracture Mechanics
 volume
 178
 pages
 333  345
 publisher
 Elsevier
 external identifiers

 scopus:85015749130
 wos:000403127100023
 ISSN
 00137944
 DOI
 10.1016/j.engfracmech.2017.03.020
 language
 English
 LU publication?
 yes
 id
 a0b029aa220b4618a7ce34a9259830b4
 date added to LUP
 20170406 12:17:21
 date last changed
 20201020 03:39:17
@article{a0b029aa220b4618a7ce34a9259830b4, abstract = {<p>Analytical relations to describe experimentally measured tractionseparation 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 tractionseparation 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 loaddeformation data of different sample sizes and different quasibrittle 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 = {00137944}, language = {eng}, pages = {333345}, publisher = {Elsevier}, series = {Engineering Fracture Mechanics}, title = {Normalization of cohesive laws for quasibrittle materials}, url = {http://dx.doi.org/10.1016/j.engfracmech.2017.03.020}, doi = {10.1016/j.engfracmech.2017.03.020}, volume = {178}, year = {2017}, }