Symplectic Solutions in Two-dimensional Viscoelastic Polymers

2019 3rd International Workshop on Renewable Energy and Development

能源学;生态环境科学

Hu, Xiaowen^1 ; Zhang, Weixiang^1^2

Nantong Polytechic College, Nantong, Jiangsu

226002, China^1

School of Civil and Environmental Engineering, Hunan University of Science and Engineering, Yongzhou, Hunan

425199, China^2

关键词: Analytical forms;    Eigen-solutions;    Governing equations;    Integral transformations;    Saint-Venant problems;    System methods;    Visco-elastic behaviors;    Viscoelastic polymers;   

Others  :  https://iopscience.iop.org/article/10.1088/1755-1315/267/2/022027/pdf
DOI  :  10.1088/1755-1315/267/2/022027

学科分类：环境科学（综合）

来源: IOP

【 摘 要 】

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.