ON THE STEADY VIBRATIONS OF THE THERMOELASTIC POROUS MATERIALS

The problem of the steady vibrations in a linear theory of homogeneous and isotropic thermoelastic solids with voids is considered. First, i ntegral relations of Betti type are established. The singular solution s corresponding to concentrated sources are used to derive representat ions of Somigliana type. Then, radiation conditions are introduced and a uniqueness result for the exterior problem is established. The pote ntials of single layer and double layer are used to reduce the boundar y value problems to singular integral equations for which Fredholm's t heorems hold.