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1 International Journal of Applied Mechanics and Engineering

1 2006

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Thermal stresses in a single elastic fiber embedded in an infinite matrix

Esparragoza I. E., Levy C., Caudill N. E.

International Journal of Applied Mechanics and Engineering

2006

Vol. 11, no 3

577-591

In this work, an analytical solution of the thermal stresses for a fiber embedded in a matrix is presented based on the idea of the boundary layer and under some simplifying assumptions. These assumptions include: the properties of both materials, fiber and matrix, remain constant; both materials remain in the elastic range so no plastic-deformation are considered; there exists a perfect bonding between the fiber and matrix so the condition of no-opening holds over the entire interface; and the composite is subjected to an uniform change of temperature. The analytical solution to the problem is found for the case when the length of the embedded bar (fiber) is much greater than its radius, and the Young's modulus of the matrix is much less than that of the fiber. The problem is also solved numerically by means of finite element analysis using a commercial package. Both results are compared and it is shown that both approaches coincide very close qualitatively and quantitatively although significant discrepancies may appear at specific points for specific cases.