scholarly journals On the singularity problem of the elastic-gravitational dislocation theory applied to plane-Earth models

2005 ◽  
Vol 32 (6) ◽  
Author(s):  
Rongjiang Wang
1971 ◽  
Vol 104 (6) ◽  
pp. 201 ◽  
Author(s):  
A.M. Kosevich ◽  
V.S. Boiko
Keyword(s):  

2011 ◽  
Vol 08 (04) ◽  
pp. 705-730 ◽  
Author(s):  
G. Y. ZHANG ◽  
G. R. LIU

This paper presents two novel and effective cell-based smoothed point interpolation methods (CS-PIM) using isoparametric PIM (PIM-Iso) shape functions and condensed radial PIM (RPIM-Cd) shape functions respectively. These two types of PIM shape functions can successfully overcome the singularity problem occurred in the process of creating PIM shape functions and make the constructed CS-PIM models work well with the three-node triangular meshes. Smoothed strains are obtained by performing the generalized gradient smoothing operation over each triangular background cells, because the nodal PIM shape functions can be discontinuous. The generalized smoothed Galerkin (GS-Galerkin) weakform is used to create the discretized system equations. Some numerical examples are studied to examine various properties of the present methods in terms of accuracy, convergence, and computational efficiency.


1971 ◽  
Vol 13 (4) ◽  
pp. 334-345
Author(s):  
M. M. Shteinberg ◽  
D. A. Mirzaev

2012 ◽  
Vol 482-484 ◽  
pp. 2033-2036
Author(s):  
Hong Jun Ding ◽  
Xi Bin Wang ◽  
Zhi Qiang Liang ◽  
Qiang Jia

This paper analysis Griffith 's Theory and the metal theoretical fracture strength, thus introducing a line defect that existence in actual crystal — dislocation; And in-depth analysis the metal fracture dislocation mechanism in the micro cutting, and the formation and expand of the Fracture cracks , provides the theory basis for micro cutting


2012 ◽  
Vol 31 (3) ◽  
pp. 316-321 ◽  
Author(s):  
Glenn A. Wilson ◽  
Leif H. Cox ◽  
Martin Čuma ◽  
Michael S. Zhdanov

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