Creep and Relaxation of Thermo-Viscoelasticity Using the Symplectic System Method

Wei Xiang Zhang; Fang Yuan

doi:10.4028/www.scientific.net/AMM.29-32.1430

Paper Titles

Simulations on Sliding Process between Si-DLC and DLC Films on a Water-Lubricated Condition
p.1408

Dual Mechanical Environment Simulations on Liquid Reserve Batteries
p.1414

Study on High-Speed Lateral Stability of Car-Trailer Combination
p.1420

Study on the Calculation Method of Gas Flow in Vacuum System Based on the Fluent Software
p.1425

Creep and Relaxation of Thermo-Viscoelasticity Using the Symplectic System Method
p.1430

Flow and Heat-Transfer Simulation Based on CFD and Experimental Study during High-Pressure Gas Quenching
p.1436

Effect of Prestrain on Fracture Toughness of Welded Joint
p.1441

Research on Oil Mist Condensation in Lubrication Pipe Based on CFD
p.1447

An ICA-Based Method for Improving Cross-Correlation Performance in Estimating Stress Wave Propagation Time
p.1451

HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 29-32Creep and Relaxation of Thermo-Viscoelasticity...

Creep and Relaxation of Thermo-Viscoelasticity Using the Symplectic System Method

Abstract:

This paper discusses thermo-viscoelastic problems using the symplectic system method. With the aid of the symplectic character and the Laplace integral transformation, all general solutions of the homogeneous equation are obtained directly via zero eigensolutions and their Jordan forms of the corresponding symplectic dual equations. The special solution of the non-homogeneous equations are given by applying the the adjoint symplectic relation between the eigensolutions. Examples show the results of the direct symplectic method, and reveal the creep and relaxation properties of the time dependent viscoelastic materials.