The Symplectic System for Thermo-Viscoelastic Cylinders

Wei Xiang Zhang; Qi Xia Liu

doi:10.4028/www.scientific.net/AMR.250-253.3662

Paper Titles

Study on the Investment Options Worth and Decision of Real Estate Enterprise under Limited Investment Time Limited
p.3642

Evaluating on the Skid Resistance of the Aggregates Based on Mineralogy
p.3646

Correct Method of Analytical Solution of Multipoint Boundary Problems of Structural Analysis for Systems of Ordinary Differential Equations with Piecewise Constant Coefficients
p.3652

The Hot Development and Cold Thinking of Current Arts and Crafts Industry
p.3656

The Symplectic System for Thermo-Viscoelastic Cylinders
p.3662

Analyzing Space and Psychology Rules for Designing the Senior Apartments of Old Urban People
p.3666

Experimental and Numerical Modeling of the Destroying of Brick Masonry for the Analysis of Buildings Accident
p.3670

Features of Water Landscape of Ancient Villages in Huizhou
p.3674

Simulation of Welding Residual Stress to the Fracture Strength of Steel Moment-Resist Frame Connection
p.3682

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 250-253The Symplectic System for Thermo-Viscoelastic...

The Symplectic System for Thermo-Viscoelastic Cylinders

Abstract:

An exact symplectic approach is presented for the isotropic viscoelastic solids subjected to external force and temperature boundary conditions. With the use of the method of separation of variables, all the general solutions of the governing equations are derived in the Laplace domain. These general solutions are expressed in concise analytical forms, and are easily to be transformed into the time domain. Accordingly, various boundary conditions can be conveniently described by the combination of the general solutions due to the completeness of the solution space. In the numerical example, the whole character of total creep of the viscoelastic solid is clearly exhibited.