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Title: Mixed mode partition theories for one dimensional fractures
Authors: Wang, Simon
Harvey, Christopher M.
Keywords: Energy release rate
Orthogonal pure fracture modes
Mixed mode partitions
Issue Date: 2012
Publisher: © Elsevier
Citation: WANG, S. and HARVEY, C., 2012. Mixed mode partition theories for one dimensional fractures. Engineering Fracture Mechanics, 79, pp. 329 - 352.
Abstract: The crack in a double cantilever beam is the most fundamental one-dimensional fracture problem. It has caused considerable confusions due to its in-depth subtleness and complex entanglement with different theories and numerical simulations. The present paper presents completely analytical theories based on Euler and Timoshenko beam theories using a brand new approach which reveals the hidden mechanics of the problem. Orthogonal pairs of pure modes are found and used to partition mixed modes. The developed theories are extensively validated against numerical simulations using finite element methods. Moreover, the fracture mode partition space is thoroughly investigated and crack tip running contact is found which results in a region of pure mode II. The theories are finally applied to general one-dimensional fracture in beams and axisymmetric plates.
Description: This article was published in the journal, Engineering Fracture Mechanics [© Elsevier] and the definitive version is available at: http://www.sciencedirect.com/science/article/pii/S0013794411004218
Version: Accepted for publication
DOI: 10.1016/j.engfracmech.2011.11.013
URI: https://dspace.lboro.ac.uk/2134/9168
Publisher Link: http://dx.doi.org/10.1016/j.engfracmech.2011.11.013
ISSN: 0013-7944
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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