Virtual Boundary Integral Method for Anisotropic Potential Problems

2012 ◽  
Vol 155-156 ◽  
pp. 370-374
Author(s):  
Xin Rong Jiang ◽  
Xin Fu
Keyword(s):  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary ◽  
Boundary Integrals ◽  
Science And Engineering ◽  
Numerical Examples ◽  
Potential Problems ◽  
Virtual Boundary ◽  
Virtual Boundary Element

Heat conduction in anisotropic materials has important applications in science and engineering. In this paper the virtual boundary element method (VBEM) is applied to solve these problems. Due to the fact of a virtual boundary outside the real boundary, the VBEM does not need to treat the singular boundary integrals, and thus, is more accurate and convenient than the traditional one. Numerical examples are presented, to demonstrate the efficiency and accuracy of this method.

Application of Boundary Integral Method to Continuous Plate Structures

1990 ◽  
Vol 34 (03) ◽  
pp. 212-217
Author(s):  
A. Moshaiov ◽  
C. Vitooraporn
Keyword(s):  
Integral Method ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Element Formulation ◽  
Elastic Plates ◽  
Boundary Integrals ◽  
Plate Structures ◽  
Ship Hulls ◽  
Single Plate ◽  
Continuous Plate

Ship hulls are composed of complex plate structures. Such structures can be analyzed by analytical as well as numerical methods. Here it is demonstrated that boundary integrals can be used to analyze such structures by a seminumerical method. Boundary integrals have been used for analyzing single plate bending problems, and only recently have attempts been made to extend their use to complex plate structures. In this paper the Direct Boundary Integral Method for bending of thin elastic plates is extended to analysis of the continuous plate structures. The concepts of compatibility and equilibrium conditions along the common boundary have been imposed in conjunction with a boundary element formulation for each panel. Several examples of loading conditions are presented and compared with analytical solutions. The excellent agreement achieved illustrates the effectiveness of the extended formulation.

scholarly journals The boundary integral equation method for the solution of a class of problems in anisotropic elasticity

1981 ◽  
Vol 22 (4) ◽  
pp. 394-407 ◽  
Author(s):  
David L. Clements ◽  
Oscar A. C. Jones
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Integral Method ◽  
Integral Equation Method ◽  
Anisotropic Elasticity ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Important Class ◽  
Numerical Examples ◽  
Integral Procedure

AbstractA boundary integral procedure for the solution of an important class of problems in anisotropic elasticity is outlined. Specific numerical examples are considered in order to provide a comparison with the standard boundary integral method.

scholarly journals Non-singular boundary integral methods for fluid mechanics applications

2012 ◽  
Vol 696 ◽  
pp. 468-478 ◽  
Author(s):  
Evert Klaseboer ◽  
Qiang Sun ◽  
Derek Y. C. Chan
Keyword(s):  
Stokes Flow ◽  
Integral Method ◽  
Practical Interest ◽  
Boundary Integral ◽  
Boundary Integral Method ◽  
Singular Boundary ◽  
Boundary Integral Methods ◽  
Integral Methods ◽  
Weakly Singular ◽  
Principal Value

AbstractA formulation of the boundary integral method for solving partial differential equations has been developed whereby the usual weakly singular integral and the Cauchy principal value integral can be removed analytically. The broad applicability of the approach is illustrated with a number of problems of practical interest to fluid and continuum mechanics including the solution of the Laplace equation for potential flow, the Helmholtz equation as well as the equations for Stokes flow and linear elasticity.

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