@article{3024483,
    title = "The modified Green function technique for the exterior Dirichlet problem in linear thermoelasticity",
    author = "Argyropoulos, E. and Argyropoulou, E. and Kiriaki, K.",
    journal = "Mathematical Methods in the Applied Sciences",
    year = "2018",
    volume = "41",
    number = "7",
    pages = "2811-2826",
    publisher = "John Wiley and Sons Ltd",
    issn = "0170-4214, 1099-1476",
    doi = "10.1002/mma.4783",
    keywords = "Boundary integral equations;  Boundary value problems;  Eigenvalues and eigenfunctions;  Elasticity;  Thermoelasticity, Dirichlet problem;  Discrete spectrum;  Double layer potential;  Elastic displacements;  Elastic fields;  Fundamental solutions;  Neumann problem;  Thermoelastic problems, Integral equations",
    abstract = "In this work, the modified Green function technique for the exterior Dirichlet problem in linear thermoelasticity is presented. Expressing the solution of the problem as a double-layer potential of an unknown density, we form the associated boundary integral equation that describes the problem. Exploiting that the discrete spectrum of the irregular values of the associated integral equation is identified with the spectrum of eigenvalues of the corresponding interior homogeneous Neumann problem for the transverse part of the elastic displacement field, we introduce a modification of the fundamental solution of the elastic field. We establish the sufficient conditions that the coefficients of the modification must satisfy to overcome the problem of nonuniqueness for the thermoelastic problem. Copyright © 2018 John Wiley & Sons, Ltd."
}