Abstract
As applications of viscoealstic polymers increase, a comprehensive understanding of physical properties of these kind of materials has been proved to be critical in the modern science and technology. In this paper, a new symplectic system method is proposed to solve the classical Saint-venant problem for viscoelastic polymers. Based on the Laplace integral transformation and the symplctic character, the dual governing equations are established, and all the general eigensolutions are obtained in analytical form. In numerical examples, some boundary condition problems are studied, which well exhibit the viscoelastic behavior of polymers.
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