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Green’s function approach to unsteady thermal stresses in an infinite hollow cylinder of functionally graded material. (English) Zbl 1068.74017
Summary: A Green’s function approach based on the laminate theory is adopted for solving the two-dimensional unsteady temperature field and the associated thermal stresses in an infinite hollow circular cylinder made of a functionally graded material with radial-directionally dependent properties. The unsteady heat conduction equation is formulated as an eigenvalue problem by making use of the eigenfunction expansion theory and the laminate theory. The eigenvalues and corresponding eigenfunctions obtained by solving an eigenvalue problem for each layer constitute Green’s function solution for analyzing unsteady temperature. The associated thermoelastic field is analyzed by making use of thermoelastic displacement potential function and Michell’s function. Numerical results are carried out and shown in figures.

MSC:
74F05 Thermal effects in solid mechanics
74E05 Inhomogeneity in solid mechanics
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