Thermoelastic stresses in bimaterials

Two Ellipsoidal Inhomogeneous Inclusions in Dissimilar Media by the Modified Equivalent Inclusion Method

“…Stresses in (43a) and (43b) and (44) inside and outside the ellipsoidal inclusions are plotted and shown in figures in this section. To check the validity of numerical results, we have compared the present results with existing numerical solutions for one inclusion in bimaterial as obtained by Yu et al [8]. To understand interaction effects between two inclusions, it is necessary to find out how the stress field of two inclusions behaves as a function of different geometrical parameters such as the depths 1 and 2 , the location, the radii and the distance of two spheres.…”

“…Under such homogeneous assumptions, the strain field can be treated as superposition of the strain field of individual precipitates and can be used to predict the 2 Advances in Mechanical Engineering alignment of precipitates. The technique of Yu et al [8] will be used to extend Eshelby's general solution to the problem of multiple homogeneous inclusions in bimaterial. The technique of Moschovidis and Mura [12] will be used to extend Eshelby's condition of simple homogeneous inclusion to the more general inhomogeneous inclusion case.…”

“…The method for obtaining the elastic solution for a homogeneous inclusion in two joined semi-infinite solids has been developed by Yu and Sandy [6] by using the elastic solutions for the nuclei of strain in bimaterial that was solved by Yu and Sandy [7]. The expression of the analytical solution for the equivalent eigenstrains for an inhomogeneous inclusion or an inhomogeneity of arbitrary shape is obtained in terms of a system of singular integral equations as shown in Yu et al [8]. Walpole [9] sought the problem of an inclusion located in one of two joined isotropic elastic half-spaces and evaluated the elastic strain energy that is of great significance in physical applications.…”

Two-dimensional Green's functions for fluid and thermoelastic two-phase plane

“…Nowacki 12 presented the fundamental solutions for a point heat source in the interior of an infinite body. Yu et al 13 studied the thermoelasitc field of a bimaterial with an inclusion by the integration method of Goodier. 14 For transversely isotropic thermoelastic materials, Sharma 15 studied Green's functions of transversely isotropic semiinfinite thermoelastic materials in integral form. By virtue of the general solution of Chen et al, 16 Hou et al 17,18 constructed Green's function for infinite, semi-infinite and two-phase transversely isotropic thermoelastic materials.…”

Study on the Interface Effects Based on Two-Dimensional Green's Functions for the Fluid and Pyroelectric Two-Phase Plane under a Line Heat Source

“…Nowacki [10] presented Green's functions for a point heat source in the interior of an infinite body. Yu [11] investigated Green's function for two-phase isotropic thermoelastic materials. By virtue of the general solution of Chen et al [12], Hou et al [13] constructed Green's function for a point heat source acting in the infinite, semi-infinite, and two-phase transversely isotropic thermoelastic materials.…”