The numerical solution of plane potential problems by improved boundary integral equation methods

1981 ◽  
Vol 42 (1) ◽  
pp. 77-98 ◽  
Author(s):  
D.B. Ingham ◽  
P.J. Heggs ◽  
M. Manzoor
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Boundary Integral Equation ◽  
Boundary Integral ◽  
Integral Equation Methods ◽  
Potential Problems

Boundary-Integral Equation Method Applied to Gear Strength Rating

1983 ◽  
Vol 105 (1) ◽  
pp. 129-131 ◽  
Author(s):  
V. Rubenchik
Keyword(s):  
Integral Equation ◽  
Numerical Solution ◽  
Elasticity Theory ◽  
Boundary Integral Equation ◽  
Gear Tooth ◽  
Integral Equation Method ◽  
Boundary Integral ◽  
Design Calculation ◽  
Integral Equation Methods ◽  
Strength Rating

Employed is a new version of boundary-integral equation methods of the elasticity theory. It gives precise, reliable and simple numerical solution of the plane problem of gear tooth strength rating. The solution and program are proposed for every-day design calculation.

Boundary Integral Equation Methods for a Refined Model of Elastic Plates

2006 ◽  
Vol 11 (6) ◽  
pp. 642-654
Author(s):  
Radu Mitric ◽  
Christian Constanda
Keyword(s):  
Integral Equation ◽  
Boundary Integral Equation ◽  
Boundary Integral ◽  
Normal Strain ◽  
Elastic Plates ◽  
Equilibrium Equations ◽  
Neumann Problems ◽  
Integral Equation Methods ◽  
Transverse Normal Strain ◽  
System Of Equilibrium Equations

A theory of bending of elastic plates is considered, in which the effect of transverse shear deformation and transverse normal strain are taken into account through a specific form of the displacement field. It is shown that the system of equilibrium equations is elliptic and that Betti and Somigliana formulae can be established, which permit the solution of the interior and exterior Dirichlet and Neumann problems by means of boundary integral equation methods.

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