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Crack-tip fields in gradient enhanced elasticity
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Applied Mechanics.
2013 (English)In: Engineering Fracture Mechanics, ISSN 0013-7944, E-ISSN 1873-7315, Vol. 97, 186-192 p.Article in journal (Refereed) Published
Abstract [en]

Nonlocal and gradient theories are capable of describing deformation of heterogeneous elastic materials better than classical elasticity theory. Crack-tipstress and strain fields in a gradient enhanced elastic material are derived on closed form. Physical requirements of finite stresses and strains at infinity and at the tip are applied to remove singularities. A fracture criterion is derived that links applied remote macroscopic stress via microscopic cohesive stress in the vicinity of thecrack-tip to the Griffith's energy. A comparison to a classical nonlocal theory by Eringen is made. It is believed that the solutions will help engineers to deal with fracture analyses in elastic brittle heterogeneous materials. 

Place, publisher, year, edition, pages
2013. Vol. 97, 186-192 p.
National Category
Applied Mechanics
Research subject
Engineering science with specialization in Applied Mechanics
URN: urn:nbn:se:uu:diva-191098DOI: 10.1016/j.engfracmech.2012.11.011ISI: 000316092200012OAI: oai:DiVA.org:uu-191098DiVA: diva2:584779
Available from: 2013-01-09 Created: 2013-01-09 Last updated: 2013-04-15Bibliographically approved

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