Direct and inverse problems for an inhomogeneous medium
Keywords:inhomogeneous medium, direct and inverse problems, shallow shell
The plane problem for an inhomogeneous medium is analyzed in this paper by using the cnoidal representation of the material inhomogeneity. This representation approximates the distribution of elastic properties in the material. Direct problem is finding the stress distribution in an inhomogeneous body when the elastic moduli of the material are known, and the inverse problem is searching for the elastic moduli of the inhomogeneous material for a given state of stress. The inverse problem is exercised to an inhomogeneous shallow shell subjected to uniformly distributed external load.
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