Symplectic Solutions in Two-dimensional Viscoelastic Polymers. Issue 2 (May 2019)

• Record Type: Journal Article
• Authors: Hu, Xiaowen; Zhang, Weixiang
• Is Part Of: IOP conference series. Volume 267:Issue 2(2019)
• Publication Date: 2019-05
• Subjects: Earth sciences -- Periodicals; Environmental sciences -- Congresses; Environmental sciences -- Periodicals; 550.5
• DOI: 10.1088/1755-1315/267/2/022027
• Languages: English
• ISSNs: 1755-1307

Abstract

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.