Surface energy evaluation using a modified 3-D M-integral for multiple surface cracks

2020 ◽  
Vol 206 ◽  
pp. 75-83
Author(s):  
J.H. Chang ◽  
J.S. Yang
2006 ◽  
Vol 74 (3) ◽  
pp. 488-496 ◽  
Author(s):  
J. H. Chang ◽  
J. S. Lin

A fracture parameter Mc is proposed for evaluation of the surface energy associated with the creation of multiple curved cracks in 2D rubbery solids under the action of large deformation. Based on the concept of the M-integral, the parameter is developed by performing the integration along a closed contour enclosing all the cracks and with respect to a reference coordinate system originated at the geometric center of all the crack tips. The integration is shown to be path-independent so that the complicated singular stress field in the near-tip areas need not be involved in the calculation. It is thus suggested that Mc be possibly used as a fracture parameter for describing the degradation of material and∕or structural integrity caused by irreversible evolution of multiple curved cracks in a rubbery media.


1990 ◽  
Vol 193 ◽  
Author(s):  
R. G. Hoagland ◽  
M. S. Daw ◽  
S. M. Foiles ◽  
M. I. Baskes

ABSTRACTThe stresses, displacement gradients, and Eshelby's F and M integrals are obtained for two crack orientations in an EAM atomic model of aluminum. For a sharp crack, the stresses are shown to agree quite well with the linear elastic prediction, and F is essentially path independent and also in good agreement with the linear elastic prediction. When dislocation emission and blunting ensues, the path independence of F disappears. In addition, for circular contours with origin at the crack tip, the M-integral is linear in contour radius with slope equal to twice the surface energy and zero intercept for a sharp crack, but acquires a nonzero intercept as blunting occurs. The shift in intercept is related to the movement of singularities away from the origin.


2018 ◽  
Vol 96 ◽  
pp. 370-379 ◽  
Author(s):  
Fei Lv ◽  
Chang-Yu Zhou ◽  
Rui-Jia Cheng ◽  
Xin-Ting Miao ◽  
Xiao-Hua He

2021 ◽  
pp. 50834
Author(s):  
Luiza Madalina Gradinaru ◽  
Mihaela Barbalata‐Mandru ◽  
Stelian Vlad ◽  
Mioara Petrescu

Author(s):  
Michael W. Bench ◽  
Paul G. Kotula ◽  
C. Barry Carter

The growth of semiconductors, superconductors, metals, and other insulators has been investigated using alumina substrates in a variety of orientations. The surface state of the alumina (for example surface reconstruction and step nature) can be expected to affect the growth nature and quality of the epilayers. As such, the surface nature has been studied using a number of techniques including low energy electron diffraction (LEED), reflection electron microscopy (REM), transmission electron microscopy (TEM), molecular dynamics computer simulations, and also by theoretical surface energy calculations. In the (0001) orientation, the bulk alumina lattice can be thought of as a layered structure with A1-A1-O stacking. This gives three possible terminations of the bulk alumina lattice, with theoretical surface energy calculations suggesting that termination should occur between the Al layers. Thus, the lattice often has been described as being made up of layers of (Al-O-Al) unit stacking sequences. There is a 180° rotation in the surface symmetry of successive layers and a total of six layers are required to form the alumina unit cell.


Author(s):  
P. J. Goodhew

Cavity nucleation and growth at grain and phase boundaries is of concern because it can lead to failure during creep and can lead to embrittlement as a result of radiation damage. Two major types of cavity are usually distinguished: The term bubble is applied to a cavity which contains gas at a pressure which is at least sufficient to support the surface tension (2g/r for a spherical bubble of radius r and surface energy g). The term void is generally applied to any cavity which contains less gas than this, but is not necessarily empty of gas. A void would therefore tend to shrink in the absence of any imposed driving force for growth, whereas a bubble would be stable or would tend to grow. It is widely considered that cavity nucleation always requires the presence of one or more gas atoms. However since it is extremely difficult to prepare experimental materials with a gas impurity concentration lower than their eventual cavity concentration there is little to be gained by debating this point.


2019 ◽  
Vol 35 (4) ◽  
pp. 485-496
Author(s):  
S. RAJKUMAR ◽  
◽  
R. JOSEPH BENSINGH ◽  
M. ABDUL KADER ◽  
SANJAY K NAYAK ◽  
...  

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