Mixed boundary value problem for poisson's equation in an unbounded multi-layered region

Abstract

The problem of existence of the solution is investigated for Poisson's equation inunbounded multi-layered domains. A method has been presented, leading to effective numericalcalculations for composites, problems of rock mechanics, and for arbitrary number of layers.We have discussed the mixed boundary value problems, taking into account nonideal contactconditions, corresponding to those appearing in the theory of the mechanics of solids and layeredcomposites.

Keywords:

• Multilayered domains
• composite
• nonideal contact conditions
• mixed boundary value problems