scholarly journals A study on Computational Accuracy of the Laplace Transform Boundary Element Method for Unsteady Elastodynamic Problems (Two-Dimensional Cases).

1991 ◽  
Vol 57 (542) ◽  
pp. 3158-3163
Author(s):  
Masataka TANAKA ◽  
Masayuki NAKAMURA ◽  
Kazuhiko AOKI
Keyword(s):  
Boundary Element Method ◽  
Laplace Transform ◽  
Boundary Element ◽  
Two Dimensional ◽  
Computational Accuracy ◽  
The Laplace Transform ◽  
Transform Boundary ◽  
Element Method

Boundary element analysis of finite domains under thermal and mechanical shock with the Lord-Shulman theory

2003 ◽  
Vol 38 (1) ◽  
pp. 53-64 ◽  
Author(s):  
P Hosseini-Tehrani ◽  
M. R Eslami
Keyword(s):  
Boundary Element Method ◽  
Laplace Transform ◽  
Boundary Element ◽  
Relaxation Times ◽  
Finite Domain ◽  
Laplace Transform Method ◽  
Transform Method ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Element Method

A boundary element method based on the Laplace transform technique is developed for transient coupled thermoelasticity problems with relaxation times in a two-dimensional finite domain. The dynamic thermoelastic model of Lord and Shulman (LS) is selected to show how mechanical and thermal energy conversion takes place in a coupled field. The Laplace transform method is applied to the time domain and the resulting equations in the transformed field are discretized using the boundary element method. The nodal dimensionless temperature and displacements in the transformed domain are inverted to obtain the actual physical quantities, using the numerical inversion of the Laplace transform method. The creation and propagation of elastic and thermoelastic waves in a finite domain and their effects on each other are investigated for the first time in this paper. Different relaxation times are chosen to show briefly the events that take place in temperature, displacement and stress fields considering the LS theory. Details of the formulation and numerical implementation are presented.

Explicit Kutta condition for unsteady two-dimensional high-order potential boundary element method

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1080-1081
Author(s):  
Giuseppe Davi ◽  
Rosario M. A. Maretta ◽  
Alberto Milazzo
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
High Order ◽  
Two Dimensional ◽  
Kutta Condition ◽  
Element Method
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