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The work is devoted to calculation of static elastic and thermo-elastic fields in a homogeneous medium with a finite number of isolated heterogeneous inclusions. Firstly, the problem is reduced to the solution of integral equations for strain and stress fields in the medium with inclusions. Then, Gaussian approximating functions are used for discretization of these equations. For such functions, the elements of the matrix of the discretized problem are calculated in explicit analytical forms.doi:10.4236/wjm.2011.12005 fatcat:2iukhyfskvawpjirxybju5qnvi