Abstract
The Hamiltonian system approach is usually applied to derive the general solutions of the governing equations using the dual variables, by which the orders and dimensions of partial differential equations can be reduced effectively. However, its application is seriously confined to the problems with regular boundaries of a single material due to its analytical property. Due to the existence of energy dissipation, viscoelastic problems belong to non conservative systems, so Hamiltonian system method can not be directly applied. In this paper, the Laplace transformation method is used to transform the basic equations into the form of elasticity, and then the Hamiltonian system method of viscoelasticity is established.
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