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Title: A theory of one-dimensional fracture
Authors: Wang, Simon
Harvey, Christopher M.
Keywords: Composite beams and plates
Energy release rate
Fracture
Mixed mode partition
Orthogonal pure modes
Issue Date: 2011
Publisher: © Elsevier
Citation: WANG, S, and HARVEY, C.M., 2011. A theory of one-dimensional fracture. Composite Structures, 94 (2), pp. 758-767
Abstract: A completely analytical theory is developed for the mixed mode partition of one-dimensional fracture in laminated composite beams and plates. Two sets of orthogonal pure modes are determined first. It is found that they are distinct from each other in Euler beam or plate theory and coincide at the Wang-Harvey set in Timoshenko beam or plate theory. After the Wang- Harvey set is proved to form a unique complete orthogonal pure mode basis within the contexts of both Euler and Timoshenko beam or plate theories, it is used to partition a mixed mode. Stealthy interactions are found between the Wang-Harvey pure mode I modes and mode II modes in Euler beam or plate theory, which alter the partitions of a mixed mode. The finite element method is developed to validate the analytical theories.
Description: This article is published in the journal Composite Materials [© Elsevier] and is available at: http://dx.doi.org/10.1016/j.compstruct.2011.09.011
Version: Accepted for publication
DOI: 10.1016/j.compstruct.2011.09.011
URI: https://dspace.lboro.ac.uk/2134/9071
Publisher Link: http://dx.doi.org/10.1016/j.compstruct.2011.09.011
ISSN: 0263-8223
Appears in Collections:Published Articles (Aeronautical and Automotive Engineering)

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