scholarly journals Asymptotic solution of one mixed boundary problem of anisotropic plate, on the base of geometrical non-linear theory of elasticity.

2011 ◽  
Vol 64 (1) ◽  
pp. 50-57
Author(s):  
G.A. Petrosyan ◽  
A.M. Khachatryan
Keyword(s):  
Asymptotic Solution ◽  
Boundary Problem ◽  
Linear Theory ◽  
Anisotropic Plate ◽  
Mixed Boundary ◽  
Theory Of Elasticity ◽  
Mixed Boundary Problem ◽  
Non Linear

A non-linear theory for a full cavitating hydrofoil in a transverse gravity field

1967 ◽  
Vol 29 (2) ◽  
pp. 317-336 ◽  
Author(s):  
Bruce E. Larock ◽  
Robert L. Street
Keyword(s):  
Gravity Field ◽  
Linear Theory ◽  
Mixed Boundary ◽  
Linear Method ◽  
Two Dimensional ◽  
Mixed Boundary Value Problem ◽  
Cavity Model ◽  
Cavity Size ◽  
Non Linear ◽  
Cavitating Hydrofoil

An analysis is made of the effect of a transverse gravity field on a two-dimensional fully cavitating flow past a flat-plate hydrofoil. Under the assumption that the flow is both irrotational and incompressible, a non-linear method is developed by using conformal mapping and the solution to a mixed-boundary-value problem in an auxiliary half plane. A new cavity model, proposed by Tulin (1964a), is employed. The solution to the gravity-affected case was found by iteration; the non-gravity solution was used as the initial trial of a rapidly convergent process. The theory indicates that the lift and cavity size are reduced by the gravity field. Typical results are presented and compared to Parkin's (1957) linear theory.

Finite-difference techniques for a harmonic mixed boundary problem having a reentrant boundary

1971 ◽  
Vol 323 (1553) ◽  
pp. 271-276 ◽  
Keyword(s):  
Exact Solution ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Uniform Convergence ◽  
Boundary Problem ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Mixed Boundary Value Problem ◽  
Mixed Boundary Problem ◽  
Finite Difference Techniques

The proof of uniform convergence of a family of finite-difference solutions to the exact solution is outlined for a harmonic mixed boundary-value problem in a rectangle containing a slit. Finite-difference results in the neighbourhood of the tip of the slit are given for reference.

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