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Mixed mode partition theories for one dimensional fractures

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journal contribution
posted on 02.12.2011 by Simon Wang, Christopher M. Harvey
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.

History

School

  • Aeronautical, Automotive, Chemical and Materials Engineering

Department

  • Aeronautical and Automotive Engineering

Citation

WANG, S. and HARVEY, C., 2012. Mixed mode partition theories for one dimensional fractures. Engineering Fracture Mechanics, 79, pp. 329 - 352.

Publisher

© Elsevier

Version

AM (Accepted Manuscript)

Publication date

2012

Notes

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

ISSN

0013-7944

Language

en

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