A Method for Solving Boundary-Value Problems of Linear Viscoelasticity for Anisotropic Composites |
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| Authors: | Kaminskii A. A. Selivanov M. F. |
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| Affiliation: | (1) National Academy of Sciences of Ukraine, S. P. Timoshenko Institute of Mechanics, Kiev |
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| Abstract: | A new method is proposed to solve some problems of linear viscoelasticity for anisotropic bodies. The method uses a branching continued fraction to approximate an irrational multivariable function. Such an approach allows obtaining a linear operator as an approximation of a multivariable operator function. The deformation of a cracked composite body with a plastic matrix is analyzed as an example. Both composite components are assumed to exhibit viscoelastic properties |
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| Keywords: | linear theory of viscoelasticity operator function branching operator continued fraction Volterra operator viscoelastic composite |
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