Wang-mixed-mode-partition.pdf (2.19 MB)
Mixed mode partition theories for one dimensional fractures
journal contribution
posted on 2011-12-02, 13:23 authored by Simon Wang, Christopher M. HarveyThe 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
© ElsevierVersion
- AM (Accepted Manuscript)
Publication date
2012Notes
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/S0013794411004218ISSN
0013-7944Publisher version
Language
- en