Free out-of-plane vibration of cracked curved beams on elastic foundation by estimating the stress intensity factor

2019 ◽  
Vol 27 (14) ◽  
pp. 1238-1245 ◽  
Author(s):  
M. Zare
Author(s):  
Zheng Liu ◽  
Xu Chen ◽  
Xin Wang

In the present paper, three-dimensional clamped SENT specimens, which is one of the most widely used low-constraint and less-conservative specimen, are analyzed by using a crack compliance analysis approach and extensive finite element analysis. Considering the test standard (BS8571) recommended specimen sizes, the daylight to width ratio, H/W, is 10.0, the relative crack depth, a/W, is varied by 0.2, 0.3, 0.4, 0.5 or 0.6 and the relative plate thickness, B/W, is chosen by 1.0, 2.0 or 4.0, respectively. Complete solutions of fracture mechanics parameters, including stress intensity factor (K), in-plane T-stress (T11) and out-of-plane T-stress (T33) are calculated, and the results obtained from above two methods have a good agreement. Moreover, the combination of the effects of a/W and B/W on the stress intensity factor K, T11 and T33 stress are thus illustrated.


1978 ◽  
Vol 45 (1) ◽  
pp. 130-134 ◽  
Author(s):  
A. F. Fossum

A dynamic stress-intensity factor and energy release rate are obtained for a running semi-infinite crack traversing a strip of elastic material subjected to out-of-plane bending. It is shown that the maximum ratio of crack tip velocity to shear wave velocity is identical to the maximum ratio of flexural wave velocity to shear wave velocity in the limit of vanishingly small wavelength. The dynamic stress-intensity factor is written as the product of a static stress-intensity factor multiplied by a function of Poisson’s ratio and crack tip velocity the function decreasing monotonically with increasing crock tip velocity. The energy release rate is shown to be independent of crack tip velocity for this type of problem.


2000 ◽  
Vol 123 (1) ◽  
pp. 124-129 ◽  
Author(s):  
B. S.-J. Kang ◽  
S. M. Anderson

A combined moire´-Sagnac interferometry method was applied for in-plane and out-of- plane crack-tip surface deformation measurement. Based on 2-D and 3-D Jacobian derivative method (JDM), a stress intensity factor evaluation procedure is proposed. This procedure utilizes selected measured displacements around the crack-tip region as input nodal displacements to calculate the stress intensity factor and the results correlate well with the theoretical calculations. The extent of the 3-D crack-tip deformation zone is also discussed.


2012 ◽  
Vol 166-169 ◽  
pp. 1277-1283
Author(s):  
Xiao Chen Ju ◽  
Tateishi Kazuo

In Japan, fatigue through-thickness cracks have been reported in steel bridges. Some of the cracks are originated by out-of-plane bending. For performing more efficient maintenance against the fatigue damages, it is essential to identify the crack propagation behavior of the through-thickness crack under out-of-plane bending. As an important factor to assess the crack propagation behavior, generally, stress intensity factor for through-thickness crack under bending was determined by some assumptions that crack front shape is straight in thickness direction. However, the actual crack front is curved under out-of-plane bending. In this paper, in order to identify the propagation behavior of through-thickness crack under out-of-plane bending, the fatigue test on through-thickness cracked plate was carried out. Moreover, through finite element analysis on the test specimen, the stress intensity factor along curved crack front was investigated.


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