uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Approximation of mode I crack-tip displacement fields by a gradient enhanced elasticity theory
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Applied Mechanics.
2014 (English)In: Engineering Fracture Mechanics, ISSN 0013-7944, E-ISSN 1873-7315, Vol. 117, 1-11 p.Article in journal (Refereed) Published
Abstract [en]

Gradient theories are capable of describing deformation of heterogeneous elastic materials better than classical elasticity theory since they are able to capture internal length effects. Here, crack-tip displacement fields at the tip of a mode I crack in gradient enhanced elastic materials are derived in closed form and contrasted with experiments. Heterogeneous materials, represented by discrete fiber networks, are analyzed in finite element models to judge the theory. It is shown that using a classical continuum approach to describe macroscopic singular-dominated deformation fields in heterogeneous materials lead to erroneous results because a structural effect that alters the displacement field becomes pronounced and results in severe blunting of crack-tips. A key conclusion is that the average segment length in the material gives the internal length scale parameter, used in the gradient enhanced continuum theory, hence allows for bridging between scales.

Place, publisher, year, edition, pages
2014. Vol. 117, 1-11 p.
Keyword [en]
Heterogeneous material, Gradient enhanced continuum, Crack mechanics, Asymptotic analysis, Deformation field
National Category
Engineering and Technology
Research subject
Engineering science with specialization in Applied Mechanics
URN: urn:nbn:se:uu:diva-224593DOI: 10.1016/j.engfracmech.2014.01.001ISI: 000334003600001OAI: oai:DiVA.org:uu-224593DiVA: diva2:717500
Available from: 2014-05-15 Created: 2014-05-14 Last updated: 2014-07-21Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Isaksson, Per
By organisation
Applied Mechanics
In the same journal
Engineering Fracture Mechanics
Engineering and Technology

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 507 hits
ReferencesLink to record
Permanent link

Direct link