Structural Engineering and Mechanics, ( ISI ), Volume (65), No (1), Year (2018-1) , Pages (99-110)

Title : ( Two new triangular finite elements containing stable open cracks )

Authors: Mohaamad Rezaiee Pajand , Nima Gharaei Moghaddam ,

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The focus of this paper is on the elements with stable open cracks. To analyze plane problems, two triangular elements with three and six nodes are formulated using force method. Flexibility matrices of the elements are derived by combining the non-cracked flexibility and the additional one due to crack, which is computed by utilizing the local flexibility method. In order to compute the flexibility matrix of the intact element, a basic coordinate system without rigid body motions is required. In this paper, the basic system origin is located at the crack center and one of its axis coincides with the crack surfaces. This selection makes it possible to formulate elements with inclined cracks. It is obvious that the ability of the suggested elements in calculating accurate natural frequencies for cracked structures, make them applicable for vibration-based crack detection.


, triangular cracked element, released strain energy, fracture mechanics, stress intensity factor, local flexibility approach
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author = {Rezaiee Pajand, Mohaamad and Gharaei Moghaddam, Nima},
title = {Two new triangular finite elements containing stable open cracks},
journal = {Structural Engineering and Mechanics},
year = {2018},
volume = {65},
number = {1},
month = {January},
issn = {1225-4568},
pages = {99--110},
numpages = {11},
keywords = {triangular cracked element; released strain energy; fracture mechanics; stress intensity factor; local flexibility approach},


%0 Journal Article
%T Two new triangular finite elements containing stable open cracks
%A Rezaiee Pajand, Mohaamad
%A Gharaei Moghaddam, Nima
%J Structural Engineering and Mechanics
%@ 1225-4568
%D 2018