First fundamental problems of anisotropic elastic plane weakened by periodic collinear cracks

2009 ◽  
Vol 30 (11) ◽  
pp. 1429-1436 ◽  
Author(s):  
Hai-tao Cai ◽  
Jian-ke Lu
Keyword(s):  
Elastic Plane ◽  
Collinear Cracks ◽  
Anisotropic Elastic

Least Squares – Boundary Element Method of Calculating Minimum Anisotropic Stress and Displacement

2014 ◽  
Vol 900 ◽  
pp. 703-706
Author(s):  
Wei Zhang
Keyword(s):  
Boundary Element Method ◽  
Least Squares ◽  
Boundary Element ◽  
Laurent Series ◽  
Least Squares Method ◽  
Elastic Plane ◽  
Infinite Domain ◽  
Calculation Results ◽  
Anisotropic Elastic ◽  
Element Method

The boundary element method , combined with the least squares method is proposed to determine the anisotropic elastic plane Laurent series of coefficients a boundary element method of least squares . This method sets the boundary element method and Laurent series method is a long one, not only high accuracy, while access to the plane problem abundance analytical solutions to the infinite domain oval hole of stress concentration problems as an example, the results of the calculation results with the analytical solution compared to illustrate the method is to solve the proble of elastic plane an effective way .

Fundamental Formulation for Transformation Toughening in Anisotropic Solids

2013 ◽  
Vol 80 (5) ◽  
Author(s):  
Lifeng Ma ◽  
Alexander M. Korsunsky ◽  
Robert M. McMeeking
Keyword(s):  
Green's Function ◽  
Residual Strain ◽  
Function Method ◽  
Crack Tip ◽  
Fundamental Solutions ◽  
Stroh Formalism ◽  
Elastic Plane ◽  
Transformation Toughening ◽  
Anisotropic Elastic ◽  
Fundamental Formulation

In this paper the problem of transformation toughening in anisotropic solids is addressed in the framework of Stroh formalism. The fundamental solutions for a transformed strain nucleus located in an infinite anisotropic elastic plane are derived first. Furthermore, the solution for the interaction of a crack tip with a residual strain nucleus is obtained. On the basis of these expressions, fundamental formulations are presented for the toughening arising from transformations using the Green's function method. Finally, a representative example is studied to demonstrate the relevance of the fundamental formulation.

INVERSION OF ANISOTROPIC ELASTIC CONSTANTS AND MUD SPEED USING BOREHOLE SONIC MODES

2020 ◽  
Author(s):  
Ting Lei ◽  
◽  
Romain Prioul ◽  
Adam Donald ◽  
Edgar Ignacio Velez Arteaga ◽  
...  
Keyword(s):  
Elastic Constants ◽  
Anisotropic Elastic
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