Boundary Integral Equation Methods for Solving Laplace's Equation with Nonlinear Boundary Conditions: The Smooth Boundary Case

1990 ◽  
Vol 55 (192) ◽  
pp. 451 ◽  
Author(s):  
Kendall E. Atkinson ◽  
Graeme Chandler
Keyword(s):  
Integral Equation ◽  
Boundary Conditions ◽  
Boundary Integral Equation ◽  
Nonlinear Boundary ◽  
Smooth Boundary ◽  
Nonlinear Boundary Conditions ◽  
Boundary Integral ◽  
Laplace's Equation ◽  
Integral Equation Methods ◽  
Boundary Case

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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