D-24 Analysis of two-dimensional crack problems by mesh-free Body Force Method

2016 ◽  
Vol 2016.69 (0) ◽  
pp. 171-172
Author(s):  
Ryosuke HONDA ◽  
Akihide SAIMOTO ◽  
Yohei SONOBE ◽  
Konatsu TOMINAGA
Keyword(s):  
Body Force ◽  
Two Dimensional ◽  
Force Method ◽  
Body Force Method ◽  
Mesh Free ◽  
Crack Problems ◽  
Free Body

scholarly journals Accurate Solutions of Stress Intensity Factors of Standard Fracture Test Specimens

2010 ◽  
Vol 452-453 ◽  
pp. 405-408 ◽  
Author(s):  
Akihide Saimoto ◽  
Fumitaka Motomura ◽  
Hironobu Nisitani
Keyword(s):  
Stress Intensity ◽  
Body Force ◽  
General Purpose ◽  
Two Dimensional ◽  
Fracture Test ◽  
Intensity Factors ◽  
Force Method ◽  
Body Force Method ◽  
Standard Specimens ◽  
Significant Figures

Practically exact solutions of stress intensity factor for several two-dimensional standard specimens were calculated and shown in numeric tables. The solutions were confirmed to converge until 6 significant figures through a systematical computation of discretization analysis. The convergence analyses were carried out by using a general purpose program based on a body force method.

Analysis of Planar Crack Coalescence by Mesh-Free Body Force Method

2017 ◽  
Vol 754 ◽  
pp. 161-164
Author(s):  
Yohei Sonobe ◽  
Takuichiro Ino ◽  
Akihide Saimoto ◽  
Md. Abdul Hasib ◽  
Atsuhiro Koyama ◽  
...  
Keyword(s):  
Weight Function ◽  
Crack Front ◽  
Body Force ◽  
Nodal Point ◽  
Crack Face ◽  
Moving Least Square ◽  
Force Method ◽  
Body Force Method ◽  
Nodal Points ◽  
Crack Problems

In a standard body force method analysis, a mesh division is required to define the boundary of a problem and to solve a governing equation using discretization procedure. However, in the present study, a moving least square strategy is introduced to define a weight function for the density of body force doublet and therefore a crack analysis is carried out without providing a standard mesh-division. Hence, the standard crack face elements are not required at all. A variety of 3D crack problems can be analyzed simply by providing a data that only de nes a crack front. Besides the nodal points for crack front, several internal nodes are generated on the crack face to represent a distribution of unknown function. At the internal nodes, an unknown variable is assigned which uniquely de ne a distribution of the relative crack face displacement. In the present approach, a crack problem is formulated as a singular integral equation whose unknown is a value of the weight function at the internal nodal points. A crack growth can be simulated directly by changing the shape of crack front, by means of adding a new nodal point in the vicinity of the current crack front. In the present paper, the proposed method is used to simulate a coalescence of interacting planar cracks.

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