A new boundary element method for modeling wave propagation in functionally graded materials

2020 ◽  
Vol 80 ◽  
pp. 103897
Author(s):  
Yang Yang ◽  
Yijun Liu
Keyword(s):  
Wave Propagation ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Functionally Graded Materials ◽  
Functionally Graded ◽  
Graded Materials ◽  
Element Method

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.

scholarly journals BOUNDARY ELEMENT METHOD MODYFICATIONS FOR USE IN SOME IMPEDANCE AND OPTICAL TOMOGRAPHY APPLICATIONS

2017 ◽  
Vol 7 (1) ◽  
pp. 0-0
Author(s):  
Maciej Pańczyk ◽  
Jan Sikora
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Functionally Graded Materials ◽  
Optical Tomography ◽  
Boundary Elements ◽  
Functionally Graded ◽  
Open Boundary ◽  
Heterogeneous Environment ◽  
Graded Materials ◽  
Element Method

The article presents two elements associated with the practice of application of the boundary element method. The first is associated with BEM ability to analyze an open boundary objects and application of infinite boundary elements in the area of mammography. The second element is associated with the damped wall investigations. Wall humidity and moisture represents heterogeneous environment (Functionally Graded Materials) which has to be treated in a special way.

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