Open AccessHamiltonian System and Viscoelastic Boundary Conditions
Author(s) -
Weixin Zhang,
XC Zhang
Publication year - 2020
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1676/1/012120
Subject(s) - laplace transform , eigenvalues and eigenvectors , viscoelasticity , mathematical analysis , mathematics , hamiltonian system , boundary value problem , algebraic equation , physics , quantum mechanics , nonlinear system , thermodynamics
By using Laplace integral transformation, the viscoelastic stress-strain relationship in the time domain is described as an algebraic equation in Laplace space, which makes the Hamiltonian system method smoothly implemented. Thus, the basic control equations with displacement and stress as basic variables are established, and the viscoelastic problem is transformed into the eigenvalue and eigensolutions. The eigensolutions include a series of independent functions, in which the zero eigenvalue eigensolutions cover all the basic deformations such as tension and bending, and do not decay with the space coordinates.