Integral method for a two-dimensional Stokes flow with shrinking holes applied to viscous sintering

1993 ◽  
Vol 257 (-1) ◽  
pp. 667 ◽  
Author(s):  
G. A. L. van de Vorst

2004 ◽  
Vol 31 (4) ◽  
pp. 344-357
Author(s):  
T. A. Dunaeva ◽  
A. A. Gourjii ◽  
V. V. Meleshko


2015 ◽  
Vol 18 (2) ◽  
pp. 106-113
Author(s):  
Nha Thanh Nguyen ◽  
Hien Thai Nguyen ◽  
Minh Ngoc Nguyen ◽  
Thien Tich Truong

The so-called T-stress, or second term of the William (1957) series expansion for linear elastic crack-tip fields, has found many uses in fracture mechanics applications. In this paper, an interaction integral method for calculating the T-stress for two-dimensional crack problems using the extended radial point interpolation method (XRPIM) is presented. Typical advantages of RPIM shape function are the satisfactions of the Kronecker’s delta property and the high-order continuity. The T-stress can be calculated directly from a path independent interaction integral entirely based on the J-integral by simply the auxiliary field. Several benchmark examples in 2D crack problem are performed and compared with other existing solutions to illustrate the correction of the presented approach.







2002 ◽  
Vol 28 (5) ◽  
pp. 425-433 ◽  
Author(s):  
A.-V. Phan ◽  
L. J. Gray ◽  
T. Kaplan ◽  
T.-N. Phan


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