Abstract
In recent years, viscoelastic materials have been widely used in industry, and the study of its mechanical properties has become the key of modern science and engineering. In this paper, based on Laplace integral transformation, a new analytical method is proposed to solve the mechanical problems related to viscoelastic materials. According to the variational principle and the method of separating variables, the governing equations of the basic problems are established, and all the eigensolutions of analytical forms are obtained. In the numerical calculation, the relationship between these eigensolutions and boundary conditions is studied systematically, and the time-dependent property of viscoelastic materials is well described.
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