Three-dimensional contact mechanics analysis of crack problems using the boundary element method

1995 ◽  
Vol 72 (1) ◽  
pp. 39-67 ◽  
Author(s):  
S. B. Liu ◽  
C. L. Tan
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Contact Mechanics ◽  
Three Dimensional ◽  
Crack Problems ◽  
Mechanics Analysis ◽  
Element Method

Contact mechanics analysis of frictional slip of inclusions embedded in dissimilar matrices using the boundary element method

1995 ◽  
Vol 30 (4) ◽  
pp. 245-255 ◽  
Author(s):  
Y H Park ◽  
A A Becker ◽  
R T Fenner
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Contact Mechanics ◽  
Spherical Inclusions ◽  
Mechanics Analysis ◽  
Thermal Cooling ◽  
Frictional Slip ◽  
Inclusion Matrix ◽  
Good Agreement ◽  
Element Method

A contact mechanics approach, based on the implementation of the boundary element method, is used to analyse the stress distribution and frictional slip behaviour around spherical inclusions and cylindrical fibres embedded in infinite dissimilar matrices. A comparison between the boundary element and the corresponding finite element solutions shows good agreement between the two approaches. A range of inclusion/matrix elastic material properties is covered in the analysis together with a mismatch in thermal properties and thermal cooling.

A Simple Galerkin Boundary Element Method for Three-Dimensional Crack Problems in Functionally Graded Materials

2005 ◽  
Vol 492-493 ◽  
pp. 367-372
Author(s):  
Glaucio H. Paulino ◽  
Alok Sutradhar
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Functionally Graded Materials ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Graded Materials ◽  
Simple Boundary ◽  
Crack Problems ◽  
Galerkin Boundary Element Method ◽  
Element Method

This paper presents a Galerkin boundary element method for solving crack problems governed by potential theory in nonhomogeneous media. In the simple boundary element method, the nonhomogeneous problem is reduced to a homogeneous problem using variable transformation. Cracks in heat conduction problem in functionally graded materials are investigated. The thermal conductivity varies parabolically in one or more coordinates. A three dimensional boundary element implementation using the Galerkin approach is presented. A numerical example demonstrates the eáciency of the method. The result of the test example is in agreement with ßnite element simulation results.

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