Problem mixed boundary value

Let us consider the potential distribution for one such mixed boundary value problem in more detail. If a disk electrode of radius p0 embedded in an infinite insulating plane and with the counter electrode far away has a uniform double layer potential, DL, then the current distribution at the electrode normalized to the average current density, /avg, is given by [40]... 

I. N. Sneddon, Mixed Boundary Value Problems in Potential Theory, North-Holland, Amsterdam, 1966. 

Berbinau P, Soutis C. A new approach for solving mixed boundary value problems along holes in orthotropic plates. Int J SoUds Struct 2001 38(1) 143—59. 

Theoretical and Experimental Asymptotic Convergence of the BIM for Plane Mixed Boundary Value Problems". 

Sneddon IN (1966) Mixed boundary value problems in potential theory. North-Holland Publishing Co., Amsterdam... 

Graham, G.A.C., The Correspondence Principle of Linear Viscoelasticity Theory for Mixed Boundary Value Problems Involving Time-... 

In the general case, termed the mixed boundary value problem, the boundary is split into two groups of complementary regions such that the... 

For the next few sections we develop a general theory of mixed boundary value problems and apply it to the case of a rigid indentor in horizontal motion on the half-space. We finish the chapter with a discussion of the problem of a stationary indentor under a varying load. 

I. Method of Solution. The method of solution is based on the viscoelastic Kolosov-Muskhelishvili equations, adapted to a half-space. Explicit solutions to the first and second boundary value problems are presented in detail. In these cases no restrictions on material behaviour are necessary. In the case of mixed boundary value problems where surface friction is present, it is necessary to make the proportionality assumption. Limiting frictional contact problems are... 

Sabin, G.C.W. (1975) Some Dynamic Mixed Boundary Value Problems in Linear Viscoelasticity Ph. D. Thesis, University of Windsor, Ontario... 

Ting, T.C.T. (1969) A Mixed Boundary Value Problem in Viscoelasticity with Time-Dependent Boundary Regions , in Proceedings of the Eleventh Midwestern Mechanics Conference, ed. by H.J. Weiss, D.F. Young, W.F. Riley, T.R. Rogge (Iowa University Press) pp. 591- 598 Titchmarsh, E.C. (1937) Introduction to the Theory of Fourier Integrals (Oxford University Press, Oxford)... 

The evaluation of the impedance functions for a foundation with an arbitrary shape has been solved mathematically using a mixed boundary-value problem approach or discrete variation problem approach. Currently, there are two commonly used approaches for evaluating the dynamic impedance functions for a shallow foundation. The first is based on the approximate solution for a circular footing rigidly connected to the surface of isotropic homogeneous elastic half space. The second approach is more general and is applicable to a foundation with an arbitrary shape. 

---