scholarly journals Transient Thermal Mixed Boundary Value Problems in the Half-Space

2016 ◽  
Vol 76 (3) ◽  
pp. 845-866 ◽  
Author(s):  
William J. Parnell ◽  
Vu-Hieu Nguyen ◽  
Raphael Assier ◽  
Salah Naili ◽  
I. David Abrahams
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Mixed Boundary Value Problems ◽  
Transient Thermal

scholarly journals A Note on an asymmetric mixed boundary value problem for a half space with a cylindrical cavity

1965 ◽  
Vol 7 (1) ◽  
pp. 45-47
Author(s):  
Prem Narain
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Cylindrical Cavity ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Subsequent Paper ◽  
Dual Integral Equations ◽  
Mixed Boundary Value Problems ◽  
Asymmetric Problem ◽  
Type Boundary

In recent years interest in the mixed boundary value problems of mathematical physics has increased appreciably because of various applications. The mixed boundary value problems for simply-connected regions have been investigated widely and it can reasonably be hoped that within a short time the theory will reach a satisfactory stage. It appears, however, that very few problems for multiply-connected domains have been solved. Recently Srivastav [2] has considered the problem of rinding an axisymmetric potential function for a half space with a cylindrical cavity subject to mixed type boundary conditions. In a subsequent paper [1], Srivastav extends the analysis to the asymmetric problem and formulates the problem in terms of dual integral equations involving Bessel functions of the first and second kinds whose solution leads to the solution of the potential problem. The latter paper, however, involves heavy manipulations and complicated contour integrals.

Asymmetric Mixed Boundary-Value Problems of the Elastic Half-Space

1965 ◽  
Vol 32 (2) ◽  
pp. 411-417 ◽  
Author(s):  
R. A. Westmann
Keyword(s):  
Boundary Value Problems ◽  
Half Space ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Elastic Half Space ◽  
Integral Solution ◽  
Displacement Fields ◽  
Dual Integral Equations ◽  
Mixed Boundary Value Problems ◽  
Stress And Displacement Fields

Solutions are presented, within the scope of classical elastostatics, for a class of asymmetric mixed boundary-value problems of the elastic half-space. The boundary conditions considered are prescribed interior and exterior to a circle and are mixed with respect to shears and tangential displacements. Using an established integral-solution form, the problem is reduced to two pairs of simultaneous dual integral equations for which the solution is known. Two illustrative examples, motivated by problems in fracture mechanics, are presented; the resulting stress and displacement fields are given in closed form.

Sign in / Sign up

Export Citation Format

Share Document